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. \(\frac{3}{6}\) _______

Answer:

Simplest form of \(\frac{3}{6}\) is \(\frac{1}{2}\).

Explanation:

\(\frac{3}{6}\) ÷ \(\frac{3}{3}\)

= \(\frac{1}{2}\)

b. \(\frac{5}{10}\) _______

Answer:

Simplest form of \(\frac{5}{10}\) is \(\frac{1}{2}\).

Explanation:

\(\frac{5}{10}\) ÷ \(\frac{5}{5}\)

= \(\frac{1}{2}\)

c. \(\frac{9}{18}\) _______

Answer:

Simplest form of \(\frac{9}{18}\) is \(\frac{1}{2}\).

Explanation:

\(\frac{9}{18}\) ÷ \(\frac{9}{9}\)

= \(\frac{1}{2}\)

Question 2.

a. \(\frac{6}{24}\) _______

Answer:

Simplest form of \(\frac{6}{24}\) is \(\frac{1}{4}\).

Explanation:

\(\frac{6}{24}\) ÷ \(\frac{6}{6}\)

= \(\frac{1}{4}\)

b. \(\frac{4}{12}\) _______

Answer:

Simplest form of \(\frac{4}{12}\) is \(\frac{1}{3}\).

Explanation:

\(\frac{4}{12}\) ÷ \(\frac{4}{4}\)

= \(\frac{1}{3}\)

c. \(\frac{2}{10}\) _______

Answer:

Simplest form of \(\frac{2}{10}\) is \(\frac{1}{5}\).

Explanation:

\(\frac{2}{10}\) ÷ \(\frac{2}{2}\)

= \(\frac{1}{5}\)

Question 3.

a. \(\frac{4}{20}\) _______

Answer:

Simplest form of \(\frac{4}{20}\) is \(\frac{1}{5}\).

Explanation:

\(\frac{4}{20}\) ÷ \(\frac{4}{4}\)

= \(\frac{1}{5}\)

b. \(\frac{12}{15}\) _______

Answer:

Simplest form of \(\frac{12}{15}\) is \(\frac{4}{5}\).

Explanation:

\(\frac{12}{15}\) ÷ \(\frac{3}{3}\)

= \(\frac{4}{5}\)

c. \(\frac{8}{32}\) _______

Answer:

Simplest form of \(\frac{8}{32}\) is \(\frac{1}{4}\).

Explanation:

\(\frac{8}{32}\) ÷ \(\frac{8}{8}\)

= \(\frac{1}{4}\)

Question 4.

a. \(\frac{18}{36}\) _______

Answer:

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. \(\frac{26}{28}\) _______

Answer:

Simplest form of \(\frac{26}{28}\) is \(\frac{13}{14}\).

Explanation:

\(\frac{26}{28}\) ÷ \(\frac{2}{2}\)

= \(\frac{13}{14}\)

c. \(\frac{17}{68}\) _______

Answer:

Simplest form of \(\frac{17}{68}\) is \(\frac{1}{4}\).

Explanation:

\(\frac{17}{68}\) ÷ \(\frac{17}{17}\)

= \(\frac{1}{4}\)

Question 5.

a. \(\frac{25}{35}\) _______

Answer:

Simplest form of \(\frac{25}{35}\) is \(\frac{5}{7}\).

Explanation:

\(\frac{25}{35}\) ÷ \(\frac{5}{5}\)

= \(\frac{5}{7}\)

b. \(\frac{51}{75}\) _______

Answer:

Simplest form of \(\frac{51}{75}\) is \(\frac{17}{25}\).

Explanation:

\(\frac{51}{75}\) ÷ \(\frac{3}{3}\)

= \(\frac{17}{25}\)

c. \(\frac{28}{36}\) _______

Answer:

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. \(\frac{22}{64}\) _______

Answer:

Simplest form of \(\frac{22}{64}\) is \(\frac{11}{32}\).

Explanation:

\(\frac{22}{64}\) ÷ \(\frac{2}{2}\)

= \(\frac{11}{32}\)

b. \(\frac{49}{63}\) _______

Answer:

Simplest form of \(\frac{49}{63}\) is \(\frac{7}{9}\).

Explanation:

\(\frac{49}{63}\) ÷ \(\frac{7}{7}\)

= \(\frac{7}{9}\)

c. \(\frac{24}{96}\) _______

Answer:

Simplest form of \(\frac{24}{96}\) is

Explanation:

\(\frac{24}{96}\) ÷ \(\frac{24}{96}\)

= \(\frac{24}{96}\)