# Convert 0.0155 into fractions ?

Convert 0.0155 into fractions ?

A. 21/2900

B. 17/2700

C. 23/3500

D. 31/2000

**Answer : **D. 31/2000

## Explanation :

**Given :**

The decimal number = 0.0155

Write it as a fraction = 0.0155 / 1

Multiply 10000 to both numerator & denominator

(0.0155 x 10000)/(1 x 10000) = 155/10000

It can be written as 1.55% = 1.55/100 or 155/10000

To simplify 155/10000 to its lowest terms, find LCM (Least Common Multiple) for 155 & 10000.

5 is the LCM for 155 & 10000

Divide numerator & denominator by 5

155/10000 = (155 / 5) / (10000 / 5)

= 31/2000

31/2000 is a simplest fraction for the decimal point number 0.0155