Practice with the help of **Spectrum Math Grade 5 Answer Key Chapter 4 Lesson 4.11 Changing Decimals to Fractions** regularly and improve your accuracy in solving questions.

## Spectrum Math Grade 5 Chapter 4 Lesson 4.11 Changing Decimals to Fractions Answers Key

0.4 = \(\frac{4}{10}\) = \(\frac{2}{5}\)

0.19 = \(\frac{19}{100}\)

2.35 = 2\(\frac{35}{100}\) = 2\(\frac{7}{20}\)

0.125 = \(\frac{125}{1000}\) = \(\frac{1}{8}\)

3.24 = 3\(\frac{24}{100}\) = 3\(\frac{6}{20}\)

**Write each decimal as a fraction or mixed number in simplest form.**

Question 1.

a. 0.4 _______

Answer:

Simplest form of 0.4 is \(\frac{2}{5}\).

Explanation:

0.4 = \(\frac{4}{10}\)

= \(\frac{2}{5}\)

b. 0.75 ____

Answer:

Simplest form of 0.75 is \(\frac{3}{4}\).

Explanation:

0.75 = \(\frac{75}{100}\)

= \(\frac{3}{4}\)

c. 3.1 _____

Answer:

Simplest form of 3.1 is 3\(\frac{1}{10}\).

Explanation:

3.1 = 3\(\frac{1}{10}\)

d. 0.6 _______

Answer:

Simplest form of 0.6 is \(\frac{3}{5}\).

Explanation:

0.6 = \(\frac{6}{10}\)

= \(\frac{3}{5}\)

Question 2.

a. 0.25 ____

Answer:

Simplest form of 0.25 is \(\frac{1}{4}\).

Explanation:

0.25 = \(\frac{25}{100}\)

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

b. 1.3 ____

Answer:

Simplest form of 1.3 is 1\(\frac{3}{10}\).

Explanation:

1.3 = 1\(\frac{3}{10}\)

c. 4.15 ____

Answer:

Simplest form of 4.15 is 4\(\frac{3}{20}\).

Explanation:

4.15 = 4\(\frac{15}{100}\)

= 4\(\frac{3}{20}\)

d. 2.2 ___

Answer:

Simplest form of 2.2 is 2\(\frac{1}{5}\).

Explanation:

2.2 = 2\(\frac{2}{10}\)

= 2\(\frac{1}{5}\)

Question 3.

a. 3.125 ____

Answer:

Simplest form of 3.125 is 3\(\frac{1}{8}\).

Explanation:

3.125 = 3\(\frac{125}{1000}\)

= 3\(\frac{1}{8}\)

b. 0.16 ____

Answer:

Simplest form of 0.16 is \(\frac{4}{25}\).

Explanation:

0.16 = \(\frac{16}{100}\)

= \(\frac{4}{25}\)

c. 8.4 _____

Answer:

Simplest form of 8.4 is 8\(\frac{2}{5}\).

Explanation:

8.4 = 8\(\frac{4}{10}\)

= 8\(\frac{2}{5}\)

d. 2.5 _____

Answer:

Simplest form of 2.5 is 2\(\frac{1}{2}\).

Explanation:

2.5 = 2\(\frac{5}{10}\)

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

Question 4.

a. 0.001 ____

Answer:

Simplest form of 0.001 is \(\frac{1}{1000}\).

Explanation:

0.001 = \(\frac{1}{1000}\)

b. 0.04 ____

Answer:

Simplest form of 0.04 is \(\frac{1}{25}\).

Explanation:

0.04 = \(\frac{4}{100}\)

= \(\frac{1}{25}\)

c. 1.6 ____

Answer:

Simplest form of 1.6 is 1\(\frac{3}{5}\)

Explanation:

1.6 = 1\(\frac{6}{10}\)

= 1\(\frac{3}{5}\)

d. 1.01 ____

Answer:

Simplest form of 1.01 is 1\(\frac{1}{100}\).

Explanation:

1.01 = 1\(\frac{1}{100}\)

Question 5.

a. 0.64 ____

Answer:

Simplest form of 0.64 is \(\frac{16}{25}\).

Explanation:

0.64 = \(\frac{64}{100}\)

= \(\frac{16}{25}\)

b. 0.70 ____

Answer:

Simplest form of 0.70 is \(\frac{7}{10}\).

Explanation:

0.70 = \(\frac{70}{100}\)

= \(\frac{7}{10}\)

c. 4.6 ____

Answer:

Simplest form of 4.6 is 4\(\frac{3}{5}\).

Explanation:

4.6 = 4 \(\frac{6}{10}\)

= 4\(\frac{3}{5}\)

d. 0.88 ____

Answer:

Simplest form of 0.88 is \(\frac{22}{25}\).

Explanation:

0.88 = \(\frac{88}{100}\)

= \(\frac{22}{25}\)

Question 6.

a. 2.42 ____

Answer:

Simplest form of 2.42 is 2\(\frac{21}{50}\).

Explanation:

2.42 = 2\(\frac{42}{100}\)

= 2\(\frac{21}{50}\)

b. 0.56 _____

Answer:

Simplest form of 0.56 is \(\frac{14}{25}\).

Explanation:

0.56 = \(\frac{56}{100}\)

= \(\frac{14}{25}\)

c. 0.15 _____

Answer:

Simplest form of 0.15 is \(\frac{3}{20}\).

Explanation:

0.15 = \(\frac{15}{100}\)

= \(\frac{3}{20}\)

d. 0.002 _____

Answer:

Simplest form of 0.002 is \(\frac{1}{500}\).

Explanation:

0.002 = \(\frac{2}{1000}\)

= \(\frac{1}{500}\)

Question 7.

a. 2.3 _____

Answer:

Simplest form of 2.3 is 2\(\frac{3}{10}\)

Explanation:

2.3 = 2\(\frac{3}{10}\)

b. 3.9 ____

Answer:

Simplest form of 3.9 is 3\(\frac{9}{10}\).

Explanation:

3.9 = 3\(\frac{9}{10}\)

c. 1.95 _____

Answer:

Simplest form of 1.95 is 1\(\frac{19}{20}\).

Explanation:

1.95 = 1\(\frac{95}{100}\)

= 1\(\frac{19}{20}\)

d. 0.442 ____

Answer:

Simplest form of 0.442 is \(\frac{221}{500}\).

Explanation:

0.442 = \(\frac{442}{1000}\)

= \(\frac{221}{500}\)

Question 8.

a. 1.86 _____

Answer:

Simplest form of 1.86 is 1\(\frac{43}{50}\).

Explanation:

1.86 = 1\(\frac{86}{100}\)

= 1\(\frac{43}{50}\)

b. 3.31 _____

Answer:

Simplest form of 3.31 is 3\(\frac{31}{100}\).

Explanation:

3.31 = 3\(\frac{31}{100}\)

c. 0.96 ____

Answer:

Simplest form of 0.96 is \(\frac{24}{25}\).

Explanation:

0.96 = \(\frac{96}{100}\)

= \(\frac{24}{25}\)

d. 0.12 ____

Answer:

Simplest form of 0.12 is \(\frac{3}{25}\).

Explanation:

0.12 = \(\frac{12}{100}\)

= \(\frac{3}{25}\)

Question 9.

a. 4.76 ____

Answer:

Simplest form of 4.76 is 4\(\frac{19}{25}\).

Explanation:

4.76 = 4\(\frac{76}{100}\)

= 4\(\frac{19}{25}\)

b. 3.89 ____

Answer:

Simplest form of 3.89 is 3\(\frac{89}{100}\).

Explanation:

3.89 = 3\(\frac{89}{100}\)

c. 4.08 _____

Answer:

Simplest form of 4.08 is 4\(\frac{2}{25}\).

Explanation:

4.08 = 4\(\frac{8}{100}\)

= 4\(\frac{2}{25}\)

d. 0.55 ____

Answer:

Simplest form of 0.55 is \(\frac{11}{20}\).

Explanation:

0.55 = \(\frac{55}{100}\)

= \(\frac{11}{20}\)