Practice with the help of Spectrum Math Grade 5 Answer Key Chapter 4 Lesson 4.9 Comparing and Ordering Fractions regularly and improve your accuracy in solving questions.
Spectrum Math Grade 5 Chapter 4 Lesson 4.9 Comparing and Ordering Fractions Answers Key
Use your knowledge of simplifying, finding common denominators, and finding equivalent fractions.
Compare each pair of fractions using <, >, or =.
Question 1.
a. \(\frac{19}{9}\) _____ \(\frac{1}{10}\)
Answer:
\(\frac{19}{9}\) > \(\frac{1}{10}\).
Explanation:
Multiples of 9:
9, 18, 27, 36, 45, 54, 63, 72, 81, 90.
Multiples of 10:
10, 20, 30, 40, 50, 60, 70, 80, 90, 100.
Common multiple of 9 and 10 = 90.
Equivalent fractions of:
\(\frac{19}{9}\) × \(\frac{10}{10}\) = \(\frac{190}{90}\)
\(\frac{1}{10}\) × \(\frac{9}{9}\) = \(\frac{9}{90}\)
=> \(\frac{190}{90}\) is greater than \(\frac{9}{90}\).
b. 1\(\frac{1}{12}\) _____ 10\(\frac{1}{3}\)
Answer:
1\(\frac{1}{12}\) < 10\(\frac{1}{3}\).
Explanation:
Multiples of 12:
12, 24, 36, 48, 60, 72, 84, 96, 120.
Multiples of 3:
3, 6, 9, 12, 15, 18, 21, 24, 27, 30.
Common multiple of 3 and 12 = 12.
Equivalent fractions of:
1\(\frac{1}{12}\) = {[(1 × 12) + 1] ÷ 12}
= [(12 + 1) ÷ 12]
= 13 ÷ 12
\(\frac{13}{12}\) × \(\frac{1}{1}\) = \(\frac{13}{12}\)
10\(\frac{1}{3}\) = {[(10 × 3) + 1] ÷ 3}
= [(13 + 1) ÷ 3]
= 14 ÷ 3
\(\frac{14}{3}\) × \(\frac{4}{4}\) = \(\frac{56}{12}\)
\(\frac{13}{12}\) is lesser than \(\frac{56}{12}\).
c. 2\(\frac{1}{9}\) _____ 10\(\frac{1}{2}\)
Answer:
2\(\frac{1}{9}\) < 10\(\frac{1}{2}\).
Explanation:
Multiples of 9:
9, 18, 27, 36, 45, 54, 63, 72, 81, 90.
Multiples of 2:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20.
Common multiple of 9 and 2 = 18.
Equivalent fractions of:
2\(\frac{1}{9}\) = {[(2 × 9) + 1] ÷ 9}
= [(18 + 1) ÷ 9]
= 19 ÷ 9
\(\frac{19}{9}\) × \(\frac{2}{2}\) = \(\frac{38}{18}\)
10\(\frac{1}{2}\) = {[(10 × 2) + 1] ÷ 2}
= [(12 + 1) ÷ 2]
= 13 ÷ 2
\(\frac{13}{2}\) × \(\frac{9}{9}\) = \(\frac{117}{18}\)
=> \(\frac{38}{18}\) is lesser than \(\frac{117}{18}\).
d. \(\frac{1}{9}\) _____ \(\frac{6}{7}\)
Answer:
\(\frac{1}{9}\) < \(\frac{6}{7}\).
Explanation:
Multiples of 9:
9, 18, 27, 36, 45, 54, 63, 72, 81, 90.
Multiples of 7:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70.
Common multiple of 9 and 7 = 63.
Equivalent fractions of:
\(\frac{1}{9}\) × \(\frac{7}{7}\) = \(\frac{7}{63}\)
\(\frac{6}{7}\) × \(\frac{9}{9}\) = \(\frac{54}{63}\)
=> \(\frac{7}{63}\) is lesser than \(\frac{54}{63}\).
Question 2.
a. \(\frac{4}{6}\) _____ \(\frac{5}{9}\)
Answer:
\(\frac{4}{6}\) > \(\frac{5}{9}\).
Explanation:
Multiples of 6:
6, 12, 18, 24, 30, 36, 42, 48, 54, 60.
Multiples of 9:
9, 18, 27, 36, 45, 54, 63, 72, 81, 90.
Common multiple of 6 and 9 = 18.
Equivalent fractions of:
\(\frac{4}{6}\) × \(\frac{3}{3}\) = \(\frac{12}{18}\)
\(\frac{5}{9}\) × \(\frac{2}{2}\) = \(\frac{10}{18}\)
=> \(\frac{12}{18}\) is greater than \(\frac{10}{18}\).
b. \(\frac{4}{7}\) _____ \(\frac{21}{11}\)
Answer:
\(\frac{4}{7}\) < \(\frac{21}{11}\).
Explanation:
Multiples of 7:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84.
Multiples of 11:
11, 22, 33, 44, 55, 66, 77, 88, 99, 110.
Common multiple of 7 and 11 = 77.
Equivalent fractions of:
\(\frac{4}{7}\) × \(\frac{11}{11}\) = \(\frac{44}{77}\)
\(\frac{21}{11}\) × \(\frac{7}{7}\) = \(\frac{147}{77}\)
=> \(\frac{44}{77}\) is lesser than \(\frac{147}{77}\).
c. \(\frac{29}{9}\) _____ 2\(\frac{1}{6}\)
Answer:
\(\frac{29}{9}\) > 2\(\frac{1}{6}\).
Explanation:
Multiples of 9:
9, 18, 27, 36, 45, 54, 63, 72, 81, 90.
Multiples of 6:
6, 12, 18, 24, 30, 36, 42, 48, 54, 60.
Common multiple of 9 and 6 = 18.
Equivalent fractions of:
\(\frac{29}{9}\) × \(\frac{2}{2}\) = \(\frac{58}{18}\)
2\(\frac{1}{6}\) = {[(2 × 6) + 1] ÷ 6}
= [(12 + 1) ÷ 6]
= (13 ÷ 6)
= \(\frac{13}{6}\) × \(\frac{3}{3}\) = \(\frac{39}{18}\)
=> \(\frac{58}{18}\) is greater than \(\frac{39}{18}\).
d. \(\frac{26}{11}\) _____ \(\frac{22}{11}\)
Answer:
\(\frac{26}{11}\) > \(\frac{22}{11}\).
Explanation:
\(\frac{26}{11}\) _____ \(\frac{22}{11}\)
=> \(\frac{26}{11}\) is greater than \(\frac{22}{11}\).
Question 3.
a. \(\frac{20}{8}\) _____ \(\frac{12}{8}\)
Answer:
\(\frac{20}{8}\) > \(\frac{12}{8}\).
Explanation:
\(\frac{20}{8}\) _____ \(\frac{12}{8}\)
\(\frac{20}{8}\) is greater than \(\frac{12}{8}\).
b. \(\frac{4}{9}\) _____ 7\(\frac{1}{4}\)
Answer:
\(\frac{4}{9}\) < 7\(\frac{1}{4}\).
Explanation:
Multiples of 9:
9, 18, 27, 36, 45, 54, 63, 72, 81, 90.
Multiples of 4:
4, 8, 12, 26, 20, 24, 28, 32, 36, 40.
Common multiple of 9 and 4 = 36.
Equivalent fractions of:
\(\frac{4}{9}\) × \(\frac{4}{4}\) = \(\frac{16}{36}\)
7\(\frac{1}{4}\) = {[(7 × 4) + 1] ÷ 4}
= [(28 + 1) ÷ 4]
= (29 ÷ 4)
= \(\frac{29}{4}\) × \(\frac{9}{9}\) = \(\frac{261}{36}\)
=> \(\frac{16}{36}\) is lesser than \(\frac{261}{36}\).
c. 2\(\frac{11}{12}\) _____ 1\(\frac{1}{5}\)
Answer:
2\(\frac{11}{12}\) > 1\(\frac{1}{5}\).
Explanation:
Multiples of 12:
12, 24, 36, 48, 60, 72, 84, 96, 108, 120.
Multiples of 5:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.
Common multiple of 12 and 5 = 60.
Equivalent fractions of:
2\(\frac{11}{12}\) = {[(2 × 12) + 11] ÷ 12}
= [(24 + 11) ÷ 12]
= (35 ÷ 12)
= \(\frac{35}{12}\) × \(\frac{5}{5}\) = \(\frac{175}{60}\).
1\(\frac{1}{5}\) = {[(1 × 5) + 1] ÷ 5}
= [(5 + 1) ÷ 5]
= (6 ÷ 5)
= \(\frac{6}{5}\) × \(\frac{12}{12}\) = \(\frac{72}{60}\).
=> \(\frac{175}{60}\) is greater than \(\frac{72}{60}\).
d. \(\frac{4}{2}\) _____ \(\frac{29}{9}\)
Answer:
\(\frac{4}{2}\) < \(\frac{29}{9}\).
Explanation:
Multiples of 2:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20.
Multiples of 9:
9, 18, 27, 36, 45, 54, 63, 72, 81, 90.
Common multiple of 2 and 9 = 18.
Equivalent fractions of:
\(\frac{4}{2}\) × \(\frac{9}{9}\) = \(\frac{36}{18}\).
\(\frac{29}{9}\) × \(\frac{2}{2}\) = \(\frac{58}{18}\).
=> \(\frac{36}{18}\) is lesser than \(\frac{58}{18}\).
Question 4.
a. \(\frac{2}{2}\) _____ \(\frac{1}{3}\)
Answer:
\(\frac{2}{2}\) > \(\frac{1}{3}\).
Explanation:
Multiples of 2:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20.
Multiples of 3:
3, 6, 9, 12, 15, 18, 21, 24, 27, 30.
Common multiple of 2 and 3 = 6.
Equivalent fractions of:
\(\frac{2}{2}\) × \(\frac{3}{3}\) = \(\frac{6}{6}\)
\(\frac{1}{3}\) × \(\frac{2}{2}\) = \(\frac{2}{6}\)
=> \(\frac{6}{6}\) is greater than \(\frac{2}{6}\).
b. \(\frac{1}{3}\) _____ 2\(\frac{11}{12}\)
Answer:
\(\frac{1}{3}\) < 2\(\frac{11}{12}\).
Explanation:
Multiples of 3:
3, 6, 9, 12, 15, 18, 21, 24, 27, 30.
Multiples of 12:
12, 24, 36, 48, 60, 72, 84, 96, 108, 120.
Common multiple of 3 and 12 =12.
Equivalent fractions of:
\(\frac{1}{3}\) × \(\frac{4}{4}\) = \(\frac{4}{12}\)
2\(\frac{11}{12}\) = {[(2 × 12) + 11] ÷ 12}
= [(24 + 11) ÷ 12]
= (35 ÷ 12)
= \(\frac{35}{12}\) × \(\frac{1}{1}\) = \(\frac{35}{12}\)
=> \(\frac{4}{12}\) is lesser than \(\frac{4}{12}\).
c. 5\(\frac{1}{2}\) _____ \(\frac{11}{12}\)
Answer:
5\(\frac{1}{2}\) > \(\frac{11}{12}\).
Explanation:
Multiples of 2:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20.
Multiples of 12:
12, 24, 36, 48, 60, 72, 84, 96, 108, 120.
Common multiple of 2 and 12 = 12.
Equivalent fractions of:
5\(\frac{1}{2}\) = {[(5 × 2) + 1] ÷ 2}
= [(10 + 1) ÷ 2]
= (11 ÷ 2)
= \(\frac{11}{2}\) × \(\frac{6}{6}\) = \(\frac{66}{12}\)
\(\frac{11}{12}\) × \(\frac{1}{1}\) = \(\frac{11}{12}\)
=> \(\frac{66}{12}\) is greater than \(\frac{11}{12}\).
d. \(\frac{13}{3}\) _____ \(\frac{1}{5}\)
Answer:
\(\frac{13}{3}\) > \(\frac{1}{5}\).
Explanation:
Multiples of 3:
3, 6, 9, 12, 15, 18, 21, 24, 27, 30.
Multiples of 5:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50.
Common multiple of 3 and 5 = 15.
Equivalent fractions of:
\(\frac{13}{3}\) × \(\frac{5}{5}\) = \(\frac{65}{15}\)
\(\frac{1}{5}\) × \(\frac{3}{3}\) = \(\frac{3}{15}\)
=> \(\frac{65}{15}\) is greater than \(\frac{3}{15}\).
Question 5.
a. \(\frac{2}{5}\) _____ 2\(\frac{3}{8}\)
Answer:
\(\frac{2}{5}\) < 2\(\frac{3}{8}\).
Explanation:
Multiples of 5:
Multiples of 8:
Common multiple of 5 and 8 = 40.
Equivalent fractions of:
\(\frac{2}{5}\) × \(\frac{8}{8}\) = \(\frac{16}{40}\)
2\(\frac{3}{8}\) = {[(2 × 8) + 3] ÷ 8}
= [(16 + 3) ÷ 8]
= (19 ÷ 8)
\(\frac{19}{8}\) × \(\frac{5}{5}\) = \(\frac{95}{40}\)
=> \(\frac{16}{40}\) is lesser than \(\frac{16}{40}\).
b. \(\frac{20}{11}\) _____ \(\frac{25}{2}\)
Answer:
\(\frac{20}{11}\) _____ \(\frac{25}{2}\).
Explanation:
Multiples of 11:
11, 22, 33, 44, 55, 66, 77, 88, 99, 110.
Multiples of 2:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30.
Common multiple of 11 and 2 = 22.
Equivalent fractions of:
\(\frac{20}{11}\) × \(\frac{2}{2}\) = \(\frac{40}{22}\)
\(\frac{25}{2}\) × \(\frac{11}{11}\) = \(\frac{275}{22}\)
=> \(\frac{40}{22}\) is lesser than \(\frac{40}{22}\).
c. \(\frac{1}{7}\) _____ 7\(\frac{1}{3}\)
Answer:
\(\frac{1}{7}\) _____ 7\(\frac{1}{3}\).
Explanation:
Multiples of 7:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70.
Multiples of 3:
3, 6, 9, 12, 15, 18, 21, 24, 27, 30.
Common multiple of 7 and 3 = 21.
Equivalent fractions of:
\(\frac{1}{7}\) × \(\frac{3}{3}\) = \(\frac{3}{21}\)
7\(\frac{1}{3}\) = {[(7 × 3) + 1] ÷ 3}
= [(21 + 1) ÷ 3]
= (22 ÷ 3)
\(\frac{22}{3}\) × \(\frac{7}{7}\) = \(\frac{154}{21}\)
=> \(\frac{3}{21}\) is lesser than \(\frac{154}{21}\).
d. \(\frac{1}{9}\) _____ \(\frac{19}{6}\)
Answer:
\(\frac{1}{9}\) < \(\frac{19}{6}\).
Explanation:
Multiples of 9:
9, 18, 27, 36, 45, 54, 63, 72, 81, 90.
Multiples of 6:
6, 12, 18, 24, 30, 36, 42, 48, 54, 60.
Common multiple of 9 and 6 = 18.
Equivalent fractions of:
\(\frac{1}{9}\) × \(\frac{2}{2}\) = \(\frac{2}{18}\)
\(\frac{19}{6}\) × \(\frac{3}{3}\) = \(\frac{57}{18}\)
=> \(\frac{2}{18}\) is lesser than \(\frac{57}{18}\).
Question 6.
a. 3\(\frac{2}{10}\) _____ \(\frac{26}{8}\)
Answer:
3\(\frac{2}{10}\) < \(\frac{26}{8}\).
Explanation:
Multiples of 10:
10, 20, 30, 40, 50, 60, 70, 80, 90, 100.
Multiples of 8:
8, 16, 24, 32, 40, 48, 56, 64, 72, 80.
Common multiple of 10 and 8 = 40.
Equivalent fractions of:
3\(\frac{2}{10}\) = {[(3 × 10) + 2] ÷ 10}
= [(30 + 2) ÷ 10]
= (32 ÷ 10)
= \(\frac{32}{10}\) × \(\frac{4}{4}\) = \(\frac{128}{40}\)
\(\frac{26}{8}\) × \(\frac{5}{5}\) = \(\frac{130}{40}\)
=> \(\frac{128}{40}\) is lesser than \(\frac{130}{40}\).
b. \(\frac{2}{3}\) _____ \(\frac{1}{2}\)
Answer:
\(\frac{2}{3}\) > \(\frac{1}{2}\).
Explanation:
Multiples of 3:
3, 6, 9, 12, 15, 18, 21, 24, 27, 30.
Multiples of 2:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20.
Common multiple of 3 and 2 = 6.
Equivalent fractions of:
\(\frac{2}{3}\) × \(\frac{2}{2}\)= \(\frac{4}{6}\)
\(\frac{1}{2}\) × \(\frac{3}{3}\)= \(\frac{3}{6}\)
=> \(\frac{4}{6}\) is greater than \(\frac{3}{6}\).
c. \(\frac{5}{9}\) _____ \(\frac{1}{9}\)
Answer:
\(\frac{5}{9}\) > \(\frac{1}{9}\).
Explanation:
\(\frac{5}{9}\) _____ \(\frac{1}{9}\) (same denominators)
=> \(\frac{5}{9}\) is greater than \(\frac{1}{9}\)
d. \(\frac{19}{9}\) _____ \(\frac{27}{4}\)
Answer:
\(\frac{19}{9}\) < \(\frac{27}{4}\).
Explanation:
Multiples of 9:
9, 18, 27, 36, 45, 54, 63, 72, 81, 90.
Multiples of 4:
4, 8, 12, 26, 20, 24, 28, 32, 36, 40.
Common multiple of 9 and 4 = 36.
Equivalent fractions of:
\(\frac{19}{9}\) × \(\frac{4}{4}\) = \(\frac{76}{36}\).
\(\frac{27}{4}\) × \(\frac{9}{9}\) = \(\frac{243}{36}\).
=> \(\frac{76}{36}\) is lesser than \(\frac{243}{36}\).
Put the fractions in order from least to greatest.
Question 7.
\(\frac{1}{7}\), \(\frac{6}{7}\), 1\(\frac{2}{3}\), 1\(\frac{8}{9}\), 1\(\frac{1}{7}\)
Answer:
Order from Least to greatest of \(\frac{1}{7}\), \(\frac{6}{7}\), 1\(\frac{2}{3}\), 1\(\frac{8}{9}\), 1\(\frac{1}{7}\) is
\(\frac{9}{63}\)
\(\frac{6}{7}\)
\(\frac{72}{63}\)
\(\frac{105}{63}\)
\(\frac{357}{63}\).
Explanation:
\(\frac{1}{7}\), \(\frac{6}{7}\), 1\(\frac{2}{3}\), 1\(\frac{8}{9}\), 1\(\frac{1}{7}\)
Common multiple of denominators: 7, 7, 3, 9, 7 = 63.
Multiples of 3:
3, 6, 9, 12, 15, 18, 21, 24, 27 and 30, 33, 36, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72,75.
Multiples of 7:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70.
Multiples of 9:
9, 18, 27, 36, 45, 54, 63, 72, 81, 90.
Common multiple of denominators of 7, 3, 9, = 63.
=> Equivalent fractions of:
\(\frac{1}{7}\) × \(\frac{9}{9}\) = \(\frac{9}{63}\)
\(\frac{6}{7}\) × \(\frac{9}{9}\) = \(\frac{54}{63}\)
1\(\frac{2}{3}\) = {[(1 × 3) + 2] ÷ 3}
= [(3 + 2) ÷ 3]
= 5 ÷ 3
= \(\frac{5}{3}\) × \(\frac{21}{21}\) = \(\frac{105}{63}\)
1\(\frac{8}{9}\) = {[(1 × 9) + 8] ÷ 9}
= [(9 + 8) ÷ 3]
= 17 ÷ 3
\(\frac{17}{3}\) × \(\frac{21}{21}\) = \(\frac{357}{63}\)
1\(\frac{1}{7}\) = {[(1 × 7) + 1] ÷ 7}
= [(7 + 1) ÷ 7]
= 8 ÷ 7
= \(\frac{8}{7}\) × \(\frac{9}{9}\) = \(\frac{72}{63}\)
Question 8.
\(\frac{7}{8}\), \(\frac{4}{7}\), 1\(\frac{1}{2}\), \(\frac{2}{7}\), 1\(\frac{1}{4}\)
Answer:
Order from Least to greatest of \(\frac{7}{8}\), \(\frac{4}{7}\), 1\(\frac{1}{2}\), \(\frac{2}{7}\), 1\(\frac{1}{4}\) is
\(\frac{2}{7}\)
\(\frac{4}{7}\)
\(\frac{7}{8}\)
1\(\frac{1}{4}\)
1\(\frac{1}{2}\)
Explanation:
\(\frac{7}{8}\), \(\frac{4}{7}\), 1\(\frac{1}{2}\), \(\frac{2}{7}\), 1\(\frac{1}{4}\)
Multiples of 8:
8, 16, 24, 32, 40, 48, 56, 64, 72, 80.
Multiples of 7:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70.
Multiples of 2:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60.
Multiples of 4:
4, 8, 12, 26, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60.
Common multiple of denominators 8, 2, 7, 4 = 56.
\(\frac{7}{8}\) × \(\frac{7}{7}\) = \(\frac{49}{56}\)
\(\frac{4}{7}\) × \(\frac{8}{8}\) = \(\frac{32}{56}\)
1\(\frac{1}{2}\) = {[(1 × 2) + 1] ÷ 2}
= [(2 + 1) ÷ 2]
= 3 ÷ 2
= \(\frac{3}{2}\) × \(\frac{28}{28}\) = \(\frac{84}{56}\)
\(\frac{2}{7}\) × \(\frac{8}{8}\) = \(\frac{16}{56}\)
1\(\frac{1}{4}\) = {[(1 × 4) + 1] ÷ 4}
= [(4 + 1) ÷ 4]
= 5 ÷ 4
= \(\frac{5}{4}\) × \(\frac{14}{14}\) = \(\frac{70}{56}\)
Question 9.
\(\frac{5}{6}\), 1\(\frac{4}{7}\), \(\frac{1}{6}\), 1\(\frac{1}{3}\), 1\(\frac{7}{8}\)
Answer:
Order from Least to greatest of \(\frac{5}{6}\), 1\(\frac{4}{7}\), \(\frac{1}{6}\), 1\(\frac{1}{3}\), 1\(\frac{7}{8}\) is
\(\frac{1}{6}\)
\(\frac{5}{6}\)
1\(\frac{1}{3}\)
1\(\frac{4}{7}\)
1\(\frac{7}{8}\)
Explanation:
\(\frac{5}{6}\), 1\(\frac{4}{7}\), \(\frac{1}{6}\), 1\(\frac{1}{3}\), 1\(\frac{7}{8}\)
Multiples of 6:
6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180.
Multiples of 7:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140, 147, 154, 161, 168, 175.
Multiples of 8:
8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176, 184, 192, 200.
Multiples of 3:
3, 6, 9, 12, 15, 18, 21, 24, 27,30, 33, 36, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99, 102, 105, 108, 111, 114, 117, 120, 123, 126, 129, 131, 134, 137, 141, 143, 147, 150, 153, 156, 159, 162, 165, 168, 172, 175.
Common multiple of denominators of 6, 7, 3, 8 = 168.
\(\frac{5}{6}\) × \(\frac{28}{28}\) = \(\frac{140}{168}\)
1\(\frac{4}{7}\) = [{[(1 × 7) + 4] ÷ 7}
= [(7 + 4) ÷ 7]
= 11 ÷ 7
\(\frac{11}{7}\) × \(\frac{24}{24}\) = \(\frac{264}{168}\)
\(\frac{1}{6}\) × \(\frac{28}{28}\) = \(\frac{28}{168}\)
1\(\frac{1}{3}\) = {[(1 × 3) + 1] ÷ 3}
= [(3 + 1) ÷ 3]
= 4 ÷ 3
\(\frac{4}{3}\) × \(\frac{56}{56}\) = \(\frac{224}{168}\)
1\(\frac{7}{8}\) = {[(1 × 8) + 7] ÷ 8}
= [(8 + 7) ÷ 8]
= 15 ÷ 8
\(\frac{15}{8}\) × \(\frac{21}{21}\) = \(\frac{315}{168}\)