Question

Decimal form of $\frac{19}{25}$ is

• A. $0.76$
• B. $7.6$
• C. $7.6$
• D. $0.076$

Answer 1

The correct option is A $0.76$

To convert $\frac{19}{25}$ into a decimal, we have to divide 19 by 25

The simplest way to divide fractions is to convert the denominators into the power of 10s.

Hence, multiply both the numerator and denominator of $\frac{19}{25}$ with 4 to get a denominator with the power of 10.

$\frac{19}{25}=\frac{19\times 4}{25\times 4}=\frac{76}{100}$

$\because$ Denominator of fraction $\frac{76}{100}$ is 100
$\Rightarrow$ Write the numerator as 76.0

$\Rightarrow$ Denominator have two zeros (100), hence shift the decimal point two places to the left in 76.0 (numerator)

Tens Ones . tenths hundredths $÷$ 100

7	6	.	0	0
	0	.	7	6

$\therefore \frac{76}{100}=\frac{76.0}{100}=0.76$