# Spectrum Math Grade 5 Chapter 4 Lesson 7 Answer Key Simplifying Fractions

Practice with the help of Spectrum Math Grade 5 Answer Key Chapter 4 Lesson 4.7 Simplifying Fractions regularly and improve your accuracy in solving questions.

## Spectrum Math Grade 5 Chapter 4 Lesson 4.7 Simplifying Fractions Answers Key

To reduce a fraction to its simplest form, divide the numerator and denominator by the same number. The fraction is in simplest form when 1 is the only common factor.

Reduce each fraction to simplest form.

Question 1.
a. $$\frac{3}{6}$$ _______
Simplest form of $$\frac{3}{6}$$ is $$\frac{1}{2}$$.

Explanation:
$$\frac{3}{6}$$ ÷ $$\frac{3}{3}$$
= $$\frac{1}{2}$$

b. $$\frac{5}{10}$$ _______
Simplest form of $$\frac{5}{10}$$ is $$\frac{1}{2}$$.

Explanation:
$$\frac{5}{10}$$ ÷ $$\frac{5}{5}$$
= $$\frac{1}{2}$$

c. $$\frac{9}{18}$$ _______
Simplest form of $$\frac{9}{18}$$ is $$\frac{1}{2}$$.

Explanation:
$$\frac{9}{18}$$ ÷ $$\frac{9}{9}$$
= $$\frac{1}{2}$$

Question 2.
a. $$\frac{6}{24}$$ _______
Simplest form of $$\frac{6}{24}$$ is $$\frac{1}{4}$$.

Explanation:
$$\frac{6}{24}$$ ÷ $$\frac{6}{6}$$
= $$\frac{1}{4}$$

b. $$\frac{4}{12}$$ _______
Simplest form of $$\frac{4}{12}$$ is $$\frac{1}{3}$$.

Explanation:
$$\frac{4}{12}$$ ÷ $$\frac{4}{4}$$
= $$\frac{1}{3}$$

c. $$\frac{2}{10}$$ _______
Simplest form of $$\frac{2}{10}$$ is $$\frac{1}{5}$$.

Explanation:
$$\frac{2}{10}$$ ÷ $$\frac{2}{2}$$
= $$\frac{1}{5}$$

Question 3.
a. $$\frac{4}{20}$$ _______
Simplest form of $$\frac{4}{20}$$ is $$\frac{1}{5}$$.

Explanation:
$$\frac{4}{20}$$ ÷ $$\frac{4}{4}$$
= $$\frac{1}{5}$$

b. $$\frac{12}{15}$$ _______
Simplest form of $$\frac{12}{15}$$ is $$\frac{4}{5}$$.

Explanation:
$$\frac{12}{15}$$ ÷ $$\frac{3}{3}$$
= $$\frac{4}{5}$$

c. $$\frac{8}{32}$$ _______
Simplest form of $$\frac{8}{32}$$ is $$\frac{1}{4}$$.

Explanation:
$$\frac{8}{32}$$ ÷ $$\frac{8}{8}$$
= $$\frac{1}{4}$$

Question 4.
a. $$\frac{18}{36}$$ _______
Simplest form of $$\frac{18}{36}$$ is $$\frac{1}{2}$$.

Explanation:
$$\frac{18}{36}$$ ÷ $$\frac{9}{9}$$
= $$\frac{2}{4}$$ ÷ $$\frac{2}{2}$$
= $$\frac{1}{2}$$

b. $$\frac{26}{28}$$ _______
Simplest form of $$\frac{26}{28}$$ is $$\frac{13}{14}$$.

Explanation:
$$\frac{26}{28}$$ ÷ $$\frac{2}{2}$$
= $$\frac{13}{14}$$

c. $$\frac{17}{68}$$ _______
Simplest form of $$\frac{17}{68}$$ is $$\frac{1}{4}$$.

Explanation:
$$\frac{17}{68}$$ ÷ $$\frac{17}{17}$$
= $$\frac{1}{4}$$

Question 5.
a. $$\frac{25}{35}$$ _______
Simplest form of $$\frac{25}{35}$$ is $$\frac{5}{7}$$.

Explanation:
$$\frac{25}{35}$$ ÷ $$\frac{5}{5}$$
= $$\frac{5}{7}$$

b. $$\frac{51}{75}$$ _______
Simplest form of $$\frac{51}{75}$$ is $$\frac{17}{25}$$.

Explanation:
$$\frac{51}{75}$$ ÷ $$\frac{3}{3}$$
= $$\frac{17}{25}$$

c. $$\frac{28}{36}$$ _______
Simplest form of $$\frac{28}{36}$$ is $$\frac{7}{9}$$.

Explanation:
$$\frac{28}{36}$$ ÷ $$\frac{2}{2}$$
= $$\frac{14}{18}$$ ÷ $$\frac{2}{2}$$
= $$\frac{7}{9}$$

Question 6.
a. $$\frac{22}{64}$$ _______
Simplest form of $$\frac{22}{64}$$ is $$\frac{11}{32}$$.

Explanation:
$$\frac{22}{64}$$ ÷ $$\frac{2}{2}$$
= $$\frac{11}{32}$$

b. $$\frac{49}{63}$$ _______
Simplest form of $$\frac{49}{63}$$  is $$\frac{7}{9}$$.
$$\frac{49}{63}$$ ÷ $$\frac{7}{7}$$
= $$\frac{7}{9}$$
c. $$\frac{24}{96}$$ _______
Simplest form of $$\frac{24}{96}$$ is
$$\frac{24}{96}$$ ÷ $$\frac{24}{96}$$
= $$\frac{24}{96}$$