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

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Following quiz provides Multiple Choice Questions (MCQs) related to Converting a decimal to a proper fraction in simplest form: Basic. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz. Q 1 - Convert the decimal 0.24 to a proper fraction in simplest form.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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