Converting a decimal to a proper fraction in simplest form: Basic Online Quiz



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Questions and Answers
Q 1 - Convert the decimal 0.24 to a proper fraction in simplest form.

Answer : C

Explanation

Step 1:

We drop the decimal and write the number 24 as the numerator of a fraction.

Step 2:

The place value of the last digit 4, is hundredth. So, we write 100 as the denominator of the fraction to get $\frac{24}{100}$

Step 3:

To reduce the fraction to the simplest form, we divide the numerator and denominator of the fraction with the highest common factor of 24 and 100 which is $\frac{24\:\div\:4}{100\:\div\:4} = \frac{6}{25}$

Step 4:

So, $0.24 \frac{6}{25}$

Q 2 - Convert the decimal 0.36 to a proper fraction in simplest form.

Answer : D

Explanation

Step 1:

We drop the decimal and write the number 36 as the numerator of a fraction.

Step 2:

The place value of the last digit 6, is hundredth. So we write 100 as the denominator of the fraction to get $\frac{36}{100}$

Step 3:

To reduce the fraction to the simplest form, we divide the numerator and denominator of the fraction with the highest common factor of 36 and 100 which is 4 $\frac{36\:\div\:4}{100\:\div\:4} = \frac{9}{25}$

So, $0.36 = \frac{9}{25}$

Q 3 - Convert the decimal 0.08 to a proper fraction in simplest form.

Answer : A

Explanation

Step 1:

We drop the decimal and write the number 08 or 8 as the numerator of a fraction. (08 and 8 are same.)

Step 2:

The place value of the last digit 8, is hundredth. So, we write 100 as the denominator of the fraction to get $\frac{8}{100}$

Step 3:

To reduce the fraction to the simplest form, we divide the numerator and denominator of the fraction with the highest common factor of 8 and 100 which is 4

$\frac{8\:\div\:4}{100\:\div\:4} = \frac{2}{25}$

Step 4:

So, $0.8 = \frac{2}{25}$

Q 4 - Convert the decimal 0.46 to a proper fraction in simplest form.

Answer : B

Explanation

Step 1:

We drop the decimal and write the number 46 as the numerator of a fraction.

Step 2:

The place value of the last digit 6, is hundredth. So, we write 100 as the denominator of the fraction to get $\frac{46}{100}$

Step 3:

To reduce the fraction to the simplest form, we divide the numerator and denominator of the fraction with the highest common factor of 46 and 100 which is 2

$\frac{46\:\div\:2}{100\:\div\:2} = \frac{23}{50}$

Step 4:

So, $0.46 = \frac{23}{50}$

Q 5 - Convert the decimal 0.52 to a proper fraction in simplest form.

Answer : D

Explanation

Step 1:

We drop the decimal and write the number 52 as the numerator of a fraction.

Step 2:

The place value of the last digit 2, is hundredth. So, we write 100 as the denominator of the fraction to get $\frac{52}{100}$

Step 3:

To reduce the fraction to the simplest form, we divide the numerator and denominator of the fraction with the highest common factor of 52 and 100 which is 4 $\frac{52\:\div\:4}{100\:\div\:4} = \frac{13}{25}$

Step 4:

So, $0.52 = \frac{13}{25}$

Q 6 - Convert the decimal 0.64 to a proper fraction in simplest form.

Answer : C

Explanation

Step 1:

We drop the decimal and write the number 64 as the numerator of a fraction.

Step 2:

The place value of the last digit 4, is hundredth. So, we write 100 as the denominator of the fraction to get $\frac{64}{100}$

Step 3:

To reduce the fraction to the simplest form, we divide the numerator and denominator of the fraction with the highest common factor of 64 and 100 which is 4 $\frac{64\:\div\:4}{100\:\div\:4} = \frac{16}{25}$

So, $0.64 = \frac{16}{25}$

Q 7 - Convert the decimal 0 .68 to a proper fraction in simplest form.

Answer : B

Explanation

Step 1:

We drop the decimal and write the number 68 as the numerator of a fraction.

Step 2:

The place value of the last digit 8, is hundredth. So, we write 100 as the denominator of the fraction to get $\frac{68}{100}$

Step 3:

To reduce the fraction to the simplest form, we divide the numerator and denominator of the fraction with the highest common factor of 68 and 100 which is 4 $\frac{64\:\div\:4}{100\:\div\:4} = \frac{17}{25}$

So, $0.68 = \frac{17}{25}$

Q 8 - Convert the decimal 0.75 to a proper fraction in simplest form.

Answer : A

Explanation

Step 1:

We drop the decimal and write the number 75 as the numerator of a fraction.

Step 2:

The place value of the last digit 5, is hundredth. So, we write 100 as the denominator of the fraction to get $\frac{75}{100}$

Step 3:

To reduce the fraction to the simplest form, we divide the numerator and denominator of the fraction with the highest common factor of 75 and 100 which is 25 $\frac{75\:\div\:25}{100\:\div\:25} = \frac{3}{4}$

So, $0.75 = \frac{3}{4}$

Q 9 - Convert the decimal 0.84 to a proper fraction in simplest form.

Answer : D

Explanation

Step 1:

We drop the decimal and write the number 84 as the numerator of a fraction.

Step 2:

The place value of the last digit 4, is hundredth. So, we write 100 as the denominator of the fraction to get $\frac{84}{100}$

Step 3:

To reduce the fraction to the simplest form, we divide the numerator and denominator of the fraction with the highest common factor of 84 and 100 which is 4 $\frac{84\:\div\:4}{100\:\div\:4} = \frac{21}{25}$

So, $0.84 = \frac{21}{25}$

Q 10 - Convert the decimal 0.96 to a proper fraction in simplest form.

Answer : C

Explanation

Step 1:

We drop the decimal and write the number 96 as the numerator of a fraction.

Step 2:

IThe place value of the last digit 6, is hundredth. So, we write 100 as the denominator of the fraction to get $\frac{96}{100}$

Step 3:

To reduce the fraction to the simplest form, we divide the numerator and denominator of the fraction with the highest common factor of 96 and 100 which is 4 $\frac{96\:\div\:4}{100\:\div\:4} = \frac{24}{25}$

So, $0.96 = \frac{24}{25}$


converting_decimal_to_proper_fraction_in_simplest_form_basic.htm

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