Go through the Spectrum Math Grade 6 Answer Key Chapter 3 Lesson 3.7 Finding Percents Using Fractions and get the proper assistance needed during your homework.
Spectrum Math Grade 6 Chapter 3 Lesson 3.7 Finding Percents Using Fractions Answers Key
35% of 60 = 35% × 60
= \(\frac{35}{100}\) × 60
= \(\frac{7}{20}\) × \(\frac{60}{1}\) = \(\frac{420}{20}\) = \(\frac{42}{2}\)
= 21
40% of 32 = 40% × 32
= \(\frac{40}{100}\) × 32
= \(\frac{2}{5}\) × \(\frac{32}{1}\) = \(\frac{64}{5}\)
= 12\(\frac{4}{5}\)
Complete the following. Write each answer in simplest form.
Question 1.
a. 8% of 65 = ____
Answer:
Simplest form of 8% of 65 is \(\frac{52}{5}\) or 10\(\frac{2}{5}\).
Explanation:
8% of 65 = 8% × 65
= \(\frac{8}{100}\) × 65
= \(\frac{4}{25}\) × \(\frac{65}{1}\)
= \(\frac{260}{25}\)
= \(\frac{52}{5}\) or 10\(\frac{2}{5}\)
b. 95% of 80 = ____
Answer:
Simplest form of 95% of 80 is 76.
Explanation:
95% of 80 = 95% × 80
= \(\frac{95}{100}\) × 80
= \(\frac{19}{20}\) × \(\frac{80}{1}\)
= \(\frac{19}{1}\) × \(\frac{4}{1}\)
= \(\frac{76}{1}\)
= 76.
Question 2.
a. 30% of 32 = ____
Answer:
Simplest form of 30% of 32 is \(\frac{48}{5}\) or 9\(\frac{3}{5}\).
Explanation:
30% of 32 = 30% × 32
= \(\frac{30}{100}\) × 32
= \(\frac{3}{10}\) × \(\frac{32}{1}\)
= \(\frac{96}{10}\)
= \(\frac{48}{5}\) or 9\(\frac{3}{5}\).
b. 25% of 28 = _____
Answer:
Simplest form of 25% of 28 is 7.
Explanation:
25% of 28 = 25% × 28
= \(\frac{25}{100}\) × 28
= \(\frac{1}{4}\) × \(\frac{28}{1}\)
= \(\frac{28}{4}\)
= \(\frac{7}{1}\)
= 7.
Question 3.
a. 150% of 12 = ____
Answer:
Simplest form of 150% of 12 is 18.
Explanation:
150% of 12 = 150% × 12
= \(\frac{150}{100}\) × 12
= \(\frac{15}{10}\) × \(\frac{12}{1}\)
= \(\frac{3}{2}\) × \(\frac{12}{1}\)
= \(\frac{3}{1}\) × \(\frac{6}{1}\)
= \(\frac{18}{1}\)
= 18.
b. 25% of 30 = _____
Answer:
Simplest form of 25% of 30 is \(\frac{15}{2}\) or 7\(\frac{1}{2}\).
Explanation:
25% of 30 = 25% × 30
= \(\frac{25}{100}\) × 30
= \(\frac{5}{20}\) × \(\frac{30}{1}\)
= \(\frac{5}{2}\) × \(\frac{3}{1}\)
= \(\frac{15}{2}\) or 7\(\frac{1}{2}\)
Question 4.
a. 28% of 7 = ____
Answer:
Simplest form of 28% of 7 is \(\frac{49}{25}\) or 1\(\frac{24}{25}\).
Explanation:
28% of 7 = 28% × 7
= \(\frac{28}{100}\) × 7
= \(\frac{14}{50}\) × \(\frac{7}{1}\)
= \(\frac{98}{50}\)
= \(\frac{49}{25}\) or 1\(\frac{24}{25}\)
b. 10% of 38 = ____
Answer:
Simplest form of 10% of 38 is \(\frac{19}{5}\) or 3\(\frac{4}{5}\).
Explanation:
10% of 38 = 10% × 38
= \(\frac{10}{100}\) × 38
= \(\frac{1}{10}\) × \(\frac{38}{1}\)
= \(\frac{1}{5}\) × \(\frac{19}{1}\)
= \(\frac{19}{5}\) or 3\(\frac{4}{5}\)
Question 5.
a. 40% of 20 = ____
Answer:
Simplest form of 40% of 20 is 8.
Explanation:
40% of 20 = 40% × 20
= \(\frac{40}{100}\) × 20
= \(\frac{4}{10}\) × \(\frac{20}{1}\)
= \(\frac{4}{1}\) × \(\frac{2}{1}\)
= \(\frac{8}{1}\)
= 8.
b. 15% of 45 = ____
Answer:
Simplest form of 15% of 45 is \(\frac{27}{4}\) or 6\(\frac{3}{4}\).
Explanation:
15% of 45 = 15% × 45
= \(\frac{15}{100}\) × 45
= \(\frac{3}{20}\) × \(\frac{45}{1}\)
= \(\frac{3}{4}\) × \(\frac{9}{1}\)
= \(\frac{27}{4}\) or 6\(\frac{3}{4}\)
Question 6.
a. 80% of 80 = ____
Answer:
Simplest form of 80% of 80 is 64.
Explanation:
80% of 80 = 80% × 80
= \(\frac{80}{100}\) × 80
= \(\frac{8}{10}\) × \(\frac{80}{1}\)
= \(\frac{8}{1}\) × \(\frac{8}{1}\)
= \(\frac{64}{1}\)
= 64.
b. 20% of 75 = ____
Answer:
Simplest form of 20% of 75 is 15.
Explanation:
20% of 75 = 20% × 75
= \(\frac{20}{100}\) × 75
= \(\frac{2}{10}\) × \(\frac{75}{1}\)
= \(\frac{1}{5}\) × \(\frac{75}{1}\)
= \(\frac{1}{1}\) × \(\frac{15}{1}\)
= \(\frac{15}{1}\)
= 15.
Question 7.
a. 45% of 70 = ___
Answer:
Simplest form of 45% of 70 is \(\frac{63}{2}\) or 31\(\frac{1}{2}\).
Explanation:
45% of 70 = 45% × 70
= \(\frac{45}{100}\) × 70
= \(\frac{9}{20}\) × \(\frac{70}{1}\)
= \(\frac{9}{2}\) × \(\frac{7}{1}\)
= \(\frac{63}{2}\) or 31\(\frac{1}{2}\)
b. 18% of 45 = ____
Answer:
Simplest form of 18% of 45 is \(\frac{81}{10}\) or 8\(\frac{1}{10}\).
Explanation:
18% of 45 = 18% is 45
= \(\frac{18}{100}\) × 45
= \(\frac{9}{50}\) × \(\frac{45}{1}\)
= \(\frac{9}{10}\) × \(\frac{9}{1}\)
= \(\frac{81}{10}\) or 8\(\frac{1}{10}\)
Question 8.
a. 4% of 92 = ___
Answer:
Simplest form of 4% of 92 is \(\frac{92}{25\) or 3\(\frac{17}{25}\).
Explanation:
4% of 92 = 4% × 92
= \(\frac{4}{100}\) × 92
= \(\frac{2}{50}\) × \(\frac{92}{1}\)
= \(\frac{1}{25}\) × \(\frac{92}{1}\)
= \(\frac{92}{25}\) or 3\(\frac{17}{25}\)
b. 16% of 90 = ____
Answer:
Simplest form of 16% of 90 is \(\frac{72}{5\) or 14\(\frac{2}{5}\).
Explanation:
16% of 90 = 16% × 90
= \(\frac{16}{100}\) × 90
= \(\frac{8}{50}\) × \(\frac{90}{1}\)
= \(\frac{8}{5}\) × \(\frac{9}{1}\)
= \(\frac{72}{5}\) or 14\(\frac{2}{5}\)
Question 9.
a. 90% of 60 = ____
Answer:
Simplest form of 90% of 60 is 54.
Explanation:
90% of 60 = 90% × 60
= \(\frac{90}{100}\) × 60
= \(\frac{9}{10}\) × \(\frac{60}{1}\)
= \(\frac{9}{1}\) × \(\frac{6}{1}\)
= \(\frac{54}{1}\)
= 54.
b. 25% of 86 = ____
Answer:
Simplest form of 25% of 86 is \(\frac{43}{2}\) or 20\(\frac{3}{2}\).
Explanation:
25% of 86 = 25% × 86
= \(\frac{25}{100}\) × 86
= \(\frac{1}{4}\) × \(\frac{86}{1}\)
= \(\frac{1}{2}\) × \(\frac{43}{1}\)
= \(\frac{43}{2}\) or 20\(\frac{3}{2}\)
Question 10.
a. 12% of 40 = ____
Answer:
Simplest form of 12% of 40 is \(\frac{24}{5}\) or 4\(\frac{4}{5}\).
Explanation:
12% of 40 = 12% × 40
= \(\frac{12}{100}\) × 40
= \(\frac{12}{10}\) × \(\frac{4}{1}\)
= \(\frac{12}{5}\) × \(\frac{2}{1}\)
= \(\frac{24}{5}\) or 4\(\frac{4}{5}\)
b. 9% of 60 = ____
Answer:
Simplest form of 9% of 60 is \(\frac{27}{5}\) or 5\(\frac{2}{5}\).
Explanation:
9% of 60 = 9% × 60
= \(\frac{9}{100}\) × 60
= \(\frac{9}{10}\) × \(\frac{6}{1}\)
= \(\frac{9}{5}\) × \(\frac{3}{1}\)
= \(\frac{27}{5}\) or 5\(\frac{2}{5}\)
Question 11.
a. 60% of 60 = ____
Answer:
Simplest form of 60% of 60 is 36.
Explanation:
60% of 60 = 60% × 60
= \(\frac{60}{100}\) × 60
= \(\frac{6}{10}\) × \(\frac{60}{1}\)
= \(\frac{6}{1}\) × \(\frac{6}{1}\)
= \(\frac{36}{1}\)
= 36.
b. 95% of 20 = ____
Answer:
Simplest form of 95% of 20 is 19.
Explanation:
95% of 20 = 95% × 20
= \(\frac{95}{100}\) × 20
= \(\frac{19}{20}\) × \(\frac{20}{1}\)
= \(\frac{19}{1}\) × \(\frac{1}{1}\)
= \(\frac{19}{1}\)
= 19.
Question 12.
a. 21% of 50 = ____
Answer:
Simplest form of 21% of 50 is \(\frac{21}{2}\) or 10\(\frac{1}{2}\).
Explanation:
21% of 50 = 21% × 50
= \(\frac{21}{100}\) × 50
= \(\frac{21}{10}\) × \(\frac{5}{1}\)
= \(\frac{21}{2}\) × \(\frac{1}{1}\)
= \(\frac{21}{2}\) or 10\(\frac{1}{2}\)
b. 3% of 25 = ____
Answer:
Simplest form of 3% of 25 is \(\frac{3}{4}\).
Explanation:
3% of 25 = 3% × 25
= \(\frac{3}{100}\) × 25
= \(\frac{3}{20}\) × \(\frac{5}{1}\)
= \(\frac{3}{4}\) × \(\frac{1}{1}\)
= \(\frac{3}{4}\)