Question

Which among the following is equivalent to $0.625$?

• A. $\frac{5}{8}$
  
• B. $\frac{8}{5}$
  
• C. $\frac{5}{4}$
  
• D. $\frac{4}{5}$
  

Answer 1

The correct option is A $\frac{5}{8}$


0.625 Step $1$: Write down the decimal divided by $1$.
$\frac{0.625}{1}$

Step $2$: Because there are three numbers after the decimal point in 0.625, multiply both the numerator and denominator by 1000.

$\frac{0.625}{1}=\frac{0.625\times 1000}{1\times 1000}$
$=\frac{625}{1000}$

Step $3$: Simlify the fraction $\frac{625}{1000}$

$\frac{625}{1000}=\frac{25\times 25}{10\times 10\times 10}$

$=\frac{5\times 5\times 5\times 5}{10\times 10\times 10}$
$=\frac{5}{2\times 2\times 2}$
$=\frac{5}{8}$

Answer: $0.625=\frac{5}{8}$