# CONVERTING THE DECIMALS AS FRACTION

Here we see how to convert the terminating decimals to fraction.

To convert terminating decimal to fraction,

• We have to notice, the number of digits after the decimal.
• Based on the number of digits after the decimal, we may have to choose 10, 100, 1000, ...... etc.
• Multiply the numerator and denominator by 10n. Here n will represent the number of digits after the decimal.
• After we get rid of the decimal and made it as integer at the numerator, we can move the decimal backwards n digits.

Change the following decimal numbers to fractions or mixed numbers. Reduce answers, if possible.

Problem 1 :

0.25

Solution :

Number of digits after the decimal point is 2.

So, we  have to multiply both numerator and denominator by 100.

Problem 2 :

0.2

Solution :

Number of digits after the decimal point is 1.

So, we  have to multiply both numerator and denominator by 10.

Problem 3 :

3.8

Solution :

Number of digits after the decimal point is 1.

So, we  have to multiply both numerator and denominator by 10.

Problem 4 :

0.75

Solution :

Number of digits after the decimal point is 2.

So, we  have to multiply both numerator and denominator by 100.

Problem 5 :

0.16

Solution :

Number of digits after the decimal point is 2.

So, we  have to multiply both numerator and denominator by 100.

Problem 6 :

0.625

Solution :

Number of digits after the decimal point is 3.

So, we  have to multiply both numerator and denominator by 1000.

Problem 7 :

16.31

Solution :

Number of digits after the decimal point is 2.

So, we  have to multiply both numerator and denominator by 100.

Problem 8 :

3.35

Solution :

Number of digits after the decimal point is 2.

So, we  have to multiply both numerator and denominator by 100.

Problem 9 :

0.07

Solution :

Number of digits after the decimal point is 2.

So, we  have to multiply both numerator and denominator by 100.

Problem 10 :

0.1875

Solution :

Number of digits after the decimal point is 4.

So, we  have to multiply both numerator and denominator by 10000.

Problem 11 :

42.325

Solution :

Number of digits after the decimal point is 3.

So, we  have to multiply both numerator and denominator by 1000.

Problem 12 :

7.37

Solution :

Number of digits after the decimal point is 2.

So, we  have to multiply both numerator and denominator by 100.

## Recent Articles

1. ### Finding Range of Values Inequality Problems

May 21, 24 08:51 PM

Finding Range of Values Inequality Problems

2. ### Solving Two Step Inequality Word Problems

May 21, 24 08:51 AM

Solving Two Step Inequality Word Problems