Converting Decimal Number to Fraction

Decimal to Fraction – Practice Examples

A) 4/5
B) 2/10
C) 2/5
D) 1/5

0.4 is a decimal number and is less than one.

To convert 0.4 in a fraction form, consider 0.4 as equal to 0.4 divided by 1.

Step 1) In this example, multiply the numerator and denominator by 10 as there is only one digit after the decimal point.

Multiplying 0.4 by 10 equates to 4 and multiplying 1 in the denominator by 10 equates to 10.

0.4 = 4 / 10

0.4 equates to the fraction 4/10 as shown in the first step in the given image.

Step 2) The fraction 4 by 10 can be simplified by dividing both the numerator and denominator by 2 as both 4 and 10 have 2 as a common factor.

In this case 2 is also the greatest common divisor for numbers 4 and 10.

4/10 is equal to 2/5 as shown in the second step in the given image.

Thus 0.4 is equal to the fraction 2/5.

Choice C is the correct answer.

A) 2/3
B) 1/4
C) 7/5
D) 3/4

0.75 is a decimal number and is less than one.

To convert 0.75 in a fraction form, consider 0.75 as equal to 0.75 divided by 1.

Numerator is the number at top and denominator is the number at the bottom, here numerator is 0.75 and denominator is 1.

Step 1) In this example, multiply the numerator and denominator by 100 as there are two digits after the decimal point.

(Numerator) 0.75 x 100 = 75

Multiplying 0.75 by 100 equates to 75.

(Denominator) 1 x 100 = 100

Multiplying the denominator by 100 equates to 100.

0.75 is equal to the fraction 75/100 as shown in the first step in the given image.

Step 2) The fraction 75/100 can be simplified by dividing both the numerator and denominator by 5 as both 75 and 100 have 5 as a common factor.

That is equal to 15/20

The fraction 15/20 can further be simplified by dividing both the numerator and denominator by 5 as both 15 and 20 have 5 as a common factor

Dividing both numerator and denominator by 5 gives 3/4

75/100 is equal to 3/4 as shown in the second step in the given image.

Thus 0.75 is equal to the fraction 3/4