## Practice Quiz on Converting Decimals to Fractions

We have already learned how to convert decimals to fractions. The idea as we have discussed in the preceding link is to find the place value of the rightmost significant digit. The decimals whose place values are tenths, hundredths, thousandths and so on are multiplied by 1/10, 1/100, 1/1000 and so on respectively. After performing multiplication, the fraction must be reduced to lowest terms.

Practice Quiz: Converting Decimals to Fractions

Convert the following decimals to fractions.

1. ) 0.4

2.) 0.8

3.) 0.18

4.) 0.25

5.) 0.75

6.) 0.35

7.) 0.125

8.) 0.9

9.) 0.05

10.) 0.016

Complete Solutions and Answers

1.) 0.4 is the same as 4 tenths or $4 \times \frac{1}{10} = \frac{4}{10}$.

We reduce to lowest terms by dividing both the numerator and denominator by 2. That is,

$\displaystyle \frac{4 \div 2}{10 \div 2} = \frac{2}{5}$.

Answer: $\frac{2}{5}$

2.) 0.8 is the same as 8 tenths or  $8 \times \frac{1}{10} = \frac{8}{10}$.

We reduce to lowest terms by dividing both the numerator and denominator by 2. That is,

$\displaystyle \frac{8 \div 2}{10 \div 2} = \frac{4}{5}$.

Answer: $\frac{4}{5}$

3.) 0.18 is the same as 18 hundredths or  $18 \times \frac{1}{100} = \frac{18}{100}$.

We reduce to lowest terms by dividing both the numerator and denominator by 2. That is,

$\displaystyle \frac{18 \div 2}{100 \div 2} = \frac{9}{50}$.

Answer: $\frac{9}{50}$

4.) 0.25 is the same as 25 hundredths or  $25 \times \frac{1}{100} = \frac{25}{100}$.

We reduce to lowest terms by dividing both the numerator and denominator by 25. That is,

$\displaystyle \frac{25 \div 25}{100 \div 25} = \frac{1}{4}$.

Answer: $\frac{1}{4}$

5.) 0.75 is the same as 75 hundredths or  $75 \times \frac{1}{100} = \frac{75}{100}$

We reduce to lowest terms by dividing both the numerator and denominator by 25. That is,

$\displaystyle \frac{75 \div 25}{100 \div 25} = \frac{3}{4}$.

Answer: $\frac{3}{4}$

6.) 0.35 is the same as 35 hundredths or  $75 \times \frac{1}{100} = \frac{35}{100}$

We reduce to lowest terms by dividing both the numerator and denominator by 5. That is,

$\displaystyle \frac{35 \div 5}{100 \div 5} = \frac{7}{20}$.

Answer: $\frac{7}{20}$

7.) 0.125 is the same as 125 thousandths or  $125 \times \frac{1}{1000} = \frac{125}{1000}$

We reduce to lowest terms by dividing both the numerator and denominator by 125. That is,

$\displaystyle \frac{125 \div 125}{1000 \div 125} = \frac{1}{8}$.

Answer: $\frac{1}{8}$

8.) 0.9 is the same as 9 tenths or $9 \times \frac{1}{10} = \frac{9}{10}$.

Answer: $\frac{9}{10}$

9.) 0.05 is the same as 5 hundredths or  $5 \times \frac{1}{100} = \frac{5}{100}$

We reduce to lowest terms by dividing both the numerator and denominator by 5. That is,

$\displaystyle \frac{5 \div 5}{100 \div 5} = \frac{1}{20}$.

Answer: $\frac{1}{20}$

10.) 0.016 is the same as 16 thousandths or  $16 \times \frac{1}{1000} = \frac{16}{1000}$

We reduce to lowest terms by dividing both the numerator and denominator by 8. That is,

$\displaystyle \frac{16 \div 8}{1000 \div 8} = \frac{2}{125}$.

Answer: $\frac{2}{125}$

## Addition of Fractions Quiz 1

Operations on fractions is one of the concepts that you should master if you want to take the Civil Service Examination.  Although it maybe an elementary concept, but problems in Number Series as well as  in Algebra (such as Word Problems) usually involve fractions. Take your first quiz on Addition of Fractions and see how much you have learned.

Note that more quizzes will come. All the Quiz 1’s in this blog are appetizers — they are the easiest quizzes and they are not as hard are those in actual Civil Service Exams. Quiz 2 and Quiz 3 on every topic will be likely as hard as the actual exams.

Addition of Fractions Quiz 1

[WpProQuiz 5]