Question

Write the following decimals as fractions. a. .76 b. .3 c. .262 d. .8053

Answer 1

A. 19/25 b. 3/10 c. 131/500 d. 8053/10000

Answer 2

Answer: The required fractions are :

(a) $\dfrac{19}{25}.$

(b) $\dfrac{3}{10}.$

(c) $\dfrac{131}{500}.$

(d)  $\dfrac{8053}{10000}.$

Step-by-step explanation:  We are given to express the following decimals as fractions :

(a) : 0.76.

Here, since there are two digits after the decimal, so the fraction form is

$0.76=\dfrac{76}{100}=\dfrac{19}{25}.$

Thus, the required fraction is $\dfrac{19}{25}.$

(b) : 0.3

Here, since there is one digit after the decimal, so the required fraction form is

$0.3=\dfrac{3}{10}.$

Thus, the required fraction is $\dfrac{3}{10}.$

(c) : 0.262

Here, since there are three digits after the decimal, so the required fraction form is

$0.262=\dfrac{262}{1000}=\dfrac{131}{500}.$

Thus, the required fraction is $\dfrac{131}{500}.$

(d) : 0.8053

Here, since there are four digits after the decimal, so the required fraction form is

$0.8053=\dfrac{8053}{10000}.$

Thus, the required fraction is $\dfrac{8053}{10000}.$

The required fractions are :

(a) $\dfrac{19}{25}.$

(b) $\dfrac{3}{10}.$

(c) $\dfrac{131}{500}.$

(d)  $\dfrac{8053}{10000}.$