# Spectrum Math Grade 5 Chapter 4 Lesson 11 Answer Key Changing Decimals to Fractions

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 _______
Simplest form of 0.4 is $$\frac{2}{5}$$.

Explanation:
0.4 = $$\frac{4}{10}$$
= $$\frac{2}{5}$$

b. 0.75 ____
Simplest form of 0.75 is $$\frac{3}{4}$$.

Explanation:
0.75 = $$\frac{75}{100}$$
= $$\frac{3}{4}$$

c. 3.1 _____
Simplest form of 3.1 is 3$$\frac{1}{10}$$.

Explanation:
3.1 = 3$$\frac{1}{10}$$

d. 0.6 _______
Simplest form of 0.6 is $$\frac{3}{5}$$.

Explanation:
0.6 = $$\frac{6}{10}$$
= $$\frac{3}{5}$$

Question 2.
a. 0.25 ____
Simplest form of 0.25 is $$\frac{1}{4}$$.

Explanation:
0.25 = $$\frac{25}{100}$$
= $$\frac{1}{4}$$

b. 1.3 ____
Simplest form of 1.3 is 1$$\frac{3}{10}$$.

Explanation:
1.3 = 1$$\frac{3}{10}$$

c. 4.15 ____
Simplest form of 4.15 is 4$$\frac{3}{20}$$.

Explanation:
4.15 = 4$$\frac{15}{100}$$
= 4$$\frac{3}{20}$$

d. 2.2 ___
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 ____
Simplest form of 3.125 is 3$$\frac{1}{8}$$.

Explanation:
3.125 = 3$$\frac{125}{1000}$$
= 3$$\frac{1}{8}$$

b. 0.16 ____
Simplest form of 0.16 is $$\frac{4}{25}$$.

Explanation:
0.16 = $$\frac{16}{100}$$
= $$\frac{4}{25}$$

c. 8.4 _____
Simplest form of 8.4 is 8$$\frac{2}{5}$$.

Explanation:
8.4 = 8$$\frac{4}{10}$$
= 8$$\frac{2}{5}$$

d. 2.5 _____
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 ____
Simplest form of 0.001 is $$\frac{1}{1000}$$.

Explanation:
0.001 = $$\frac{1}{1000}$$

b. 0.04 ____
Simplest form of 0.04 is $$\frac{1}{25}$$.

Explanation:
0.04 = $$\frac{4}{100}$$
= $$\frac{1}{25}$$

c. 1.6 ____
Simplest form of 1.6 is 1$$\frac{3}{5}$$

Explanation:
1.6 = 1$$\frac{6}{10}$$
= 1$$\frac{3}{5}$$

d. 1.01 ____
Simplest form of 1.01 is 1$$\frac{1}{100}$$.

Explanation:
1.01 = 1$$\frac{1}{100}$$

Question 5.
a. 0.64 ____
Simplest form of 0.64 is $$\frac{16}{25}$$.

Explanation:
0.64 = $$\frac{64}{100}$$
= $$\frac{16}{25}$$

b. 0.70 ____
Simplest form of 0.70 is $$\frac{7}{10}$$.

Explanation:
0.70 = $$\frac{70}{100}$$
= $$\frac{7}{10}$$

c. 4.6 ____
Simplest form of 4.6 is 4$$\frac{3}{5}$$.

Explanation:
4.6 = 4 $$\frac{6}{10}$$
= 4$$\frac{3}{5}$$

d. 0.88 ____
Simplest form of 0.88 is $$\frac{22}{25}$$.

Explanation:
0.88 = $$\frac{88}{100}$$
= $$\frac{22}{25}$$

Question 6.
a. 2.42 ____
Simplest form of 2.42 is 2$$\frac{21}{50}$$.

Explanation:
2.42 = 2$$\frac{42}{100}$$
= 2$$\frac{21}{50}$$

b. 0.56 _____
Simplest form of 0.56 is $$\frac{14}{25}$$.

Explanation:
0.56 = $$\frac{56}{100}$$
= $$\frac{14}{25}$$

c. 0.15 _____
Simplest form of 0.15 is $$\frac{3}{20}$$.

Explanation:
0.15 = $$\frac{15}{100}$$
= $$\frac{3}{20}$$

d. 0.002 _____
Simplest form of 0.002 is $$\frac{1}{500}$$.

Explanation:
0.002 = $$\frac{2}{1000}$$
= $$\frac{1}{500}$$

Question 7.
a. 2.3 _____
Simplest form of 2.3 is 2$$\frac{3}{10}$$

Explanation:
2.3 = 2$$\frac{3}{10}$$

b. 3.9 ____
Simplest form of 3.9 is 3$$\frac{9}{10}$$.

Explanation:
3.9 = 3$$\frac{9}{10}$$

c. 1.95 _____
Simplest form of 1.95 is 1$$\frac{19}{20}$$.

Explanation:
1.95 = 1$$\frac{95}{100}$$
= 1$$\frac{19}{20}$$

d. 0.442 ____
Simplest form of 0.442 is $$\frac{221}{500}$$.

Explanation:
0.442 = $$\frac{442}{1000}$$
= $$\frac{221}{500}$$

Question 8.
a. 1.86 _____
Simplest form of 1.86 is 1$$\frac{43}{50}$$.

Explanation:
1.86 = 1$$\frac{86}{100}$$
= 1$$\frac{43}{50}$$

b. 3.31 _____
Simplest form of 3.31 is 3$$\frac{31}{100}$$.

Explanation:
3.31 = 3$$\frac{31}{100}$$

c. 0.96 ____
Simplest form of 0.96 is $$\frac{24}{25}$$.

Explanation:
0.96 = $$\frac{96}{100}$$
= $$\frac{24}{25}$$

d. 0.12 ____
Simplest form of 0.12 is $$\frac{3}{25}$$.

Explanation:
0.12 = $$\frac{12}{100}$$
= $$\frac{3}{25}$$

Question 9.
a. 4.76 ____
Simplest form of 4.76 is 4$$\frac{19}{25}$$.

Explanation:
4.76 = 4$$\frac{76}{100}$$
= 4$$\frac{19}{25}$$

b. 3.89 ____
Simplest form of 3.89 is 3$$\frac{89}{100}$$.

Explanation:
3.89 =  3$$\frac{89}{100}$$

c. 4.08 _____
Simplest form of 4.08 is 4$$\frac{2}{25}$$.
4.08 = 4$$\frac{8}{100}$$
= 4$$\frac{2}{25}$$
Simplest form of 0.55 is $$\frac{11}{20}$$.
0.55 = $$\frac{55}{100}$$
= $$\frac{11}{20}$$