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 = \(\frac{55}{100}\)
= \(\frac{11}{20}\)