Practice with the help of Spectrum Math Grade 5 Answer Key Chapter 4 Lesson 4.6 Finding Equivalent Fractions regularly and improve your accuracy in solving questions.
Spectrum Math Grade 5 Chapter 4 Lesson 4.6 Finding Equivalent Fractions Answers Key
8 = \(\frac{8}{1}\) Rewrite the whole number as a fraction whose denominator is one.
\(\frac{8}{1}\) = \(\frac{4}{4}\). Multiply the numerator and denominator by the same number.
8 = \(\frac{32}{4}\) \(\frac{8}{1}\) and \(\frac{32}{4}\) are equivalent fractions.
Find the equivalent fraction.
Question 1.
a.
Answer:
The equivalent fraction of \(\frac{1}{3}\) is \(\frac{2}{6}\).
Explanation:
\(\frac{1}{3}\) = \(\frac{N}{6}\)
=> \(\frac{1}{3}\) × 6 = N.
=> \(\frac{6}{3}\) = N
=> \(\frac{2}{1}\) = N.
=> 2 = N.
b.
Answer:
The equivalent fraction of \(\frac{3}{5}\) is \(\frac{9}{15}\).
Explanation:
\(\frac{3}{5}\) = \(\frac{N}{15}\)
=> \(\frac{3}{5}\) × 15 = N
=> \(\frac{3}{1}\) × 3 = N
=> \(\frac{9}{1}\) = N
=> 9 = N.
c.
Answer:
The equivalent fraction of \(\frac{2}{9}\) is \(\frac{6}{27}\).
Explanation:
\(\frac{2}{9}\) = \(\frac{N}{27}\)
=> \(\frac{2}{9}\) × 27 = N
=> \(\frac{2}{1}\) × 3 = N
=> \(\frac{6}{1}\) = N
=> 6 = N.
Question 2.
a.
Answer:
The equivalent fraction of \(\frac{6}{7}\) is \(\frac{12}{14}\).
Explanation:
\(\frac{6}{7}\) = \(\frac{N}{14}\)
=> \(\frac{6}{7}\) × 14 = N
=> \(\frac{6}{1}\) × 2 = N
=> \(\frac{12}{1}\) = N
=> 12 = N.
b.
Answer:
The equivalent fraction of \(\frac{2}{1}\) is \(\frac{6}{3}\).
Explanation:
\(\frac{2}{1}\) = \(\frac{N}{3}\)
=> \(\frac{2}{1}\) × 3 = N
=> \(\frac{6}{1}\) = N
=> 6 = N.
c.
Answer:
The equivalent fraction of \(\frac{5}{1}\) is \(\frac{35}{7}\).
Explanation:
\(\frac{5}{1}\) = \(\frac{N}{7}\)
=> \(\frac{5}{1}\) × 7 = N
=> \(\frac{35}{1}\) = N
=> 35 = N.
Question 3.
a.
Answer:
The equivalent fraction of \(\frac{7}{1}\) is \(\frac{35}{5}\).
Explanation:
\(\frac{7}{1}\) = \(\frac{N}{5}\)
=> \(\frac{7}{1}\) × 5 = N
=> \(\frac{35}{1}\) = N
=> 35 = N.
b.
Answer:
The equivalent fraction of \(\frac{5}{8}\) is \(\frac{15}{24}\).
Explanation:
\(\frac{5}{8}\) = \(\frac{N}{24}\)
=> \(\frac{5}{8}\) × 24 = N
=> \(\frac{5}{1}\) × 3 = N
=> \(\frac{15}{1}\) = N
=> 15 = N.
c.
Answer:
The equivalent fraction of \(\frac{1}{1}\) is \(\frac{6}{6}\).
Explanation:
\(\frac{1}{1}\) = \(\frac{N}{6}\)
=> \(\frac{1}{1}\) × 6 = N
=> \(\frac{6}{1}\) = N
=> 6 = N.
Question 4.
a.
Answer:
The equivalent fraction of \(\frac{3}{1}\) is \(\frac{27}{9}\).
Explanation:
\(\frac{3}{1}\) = \(\frac{N}{9}\)
=> \(\frac{3}{1}\) × 9 = N
=> \(\frac{27}{1}\) = N
=> 27 = N.
b.
Answer:
The equivalent fraction of \(\frac{8}{11}\) is \(\frac{24}{33}\).
Explanation:
\(\frac{8}{11}\) = \(\frac{N}{33}\)
=> \(\frac{8}{11}\) × 33 = N
=> \(\frac{8}{1}\) × 3 = N
=> \(\frac{24}{1}\) = N
=> 24 = N.
c.
Answer:
The equivalent fraction of \(\frac{5}{6}\) is \(\frac{25}{30\).
Explanation:
\(\frac{5}{6}\) = \(\frac{N}{30\)
=> \(\frac{5}{6}\) × 30 = N
=> \(\frac{5}{1}\) × 5 = N
=> \(\frac{25}{1}\) = N
=> 25 = N.
Question 5.
a.
Answer:
The equivalent fraction of \(\frac{6}{1}\) is \(\frac{18}{3\).
Explanation:
\(\frac{6}{1}\) = \(\frac{N}{3\)
=> \(\frac{6}{1}\) × 3 = N
=> \(\frac{18}{1}\) = N
=> 18 = N.
b.
Answer:
The equivalent fraction of \(\frac{7}{9}\) is \(\frac{14}{18\).
Explanation:
\(\frac{7}{9}\) = \(\frac{N}{18\)
=> \(\frac{7}{9}\) × 18 = N
=> \(\frac{7}{1}\) × 2 = N
=> \(\frac{14}{1}\) = N
=> 14 = N.
c.
Answer:
The equivalent fraction of \(\frac{8}{1}\) is \(\frac{48}{6\).
Explanation:
\(\frac{8}{1}\) = \(\frac{N}{6\)
=> \(\frac{8}{1}\) × 6 = N
=> \(\frac{48}{1}\) = N
=> 48 = N.