Question

How do you convert $\dfrac{5}{16}$ to a decimal?

Answer 1

Hint: From the given question we have to write the decimal of $\dfrac{5}{16}$. To find the decimal of $\dfrac{5}{16}$. If a fraction is written with a denominator which is a power of 10 it can be written as a decimal. Once the denominator is a power of 10, the number of zeroes indicates how many decimal places there will be. The fractions with a denominator which is power of $10$ can easily be written as decimals. By this we can convert the given number into decimal.

Complete step-by-step solution:
From the question given we have to find the decimal of
$\Rightarrow \dfrac{5}{16}$
As we know that to write the decimal, we have to make the denominator into the power of $10$.
If a fraction is written with a denominator which is a power of 10 it can be written as a decimal. Once the denominator is a power of 10, the number of zeroes indicates how many decimal places there will be. The fractions with a denominator which is power of $10$ can easily be written as decimals.
Here in this case, we have to multiply both the numerator and denominator by
$\Rightarrow 625$
By multiplying the denominator $16$ with the $625$ we will get the denominator in the power of $10$ i.e., $10000$
By multiplying we will get,
 $\Rightarrow \dfrac{5}{16}\times \left( \dfrac{625}{625} \right)$
 $\Rightarrow \dfrac{5\times 625}{16\times 625}$
 $\Rightarrow \dfrac{3125}{10000}$
 $\Rightarrow 0.3125$
  Therefore, the decimal of $\dfrac{5}{16}$ is $0.3125$.

Note: Students can also convert this number into decimal by doing simple division. But Students by making the denominator as $\left( 10,100,100.. \right)$ by this they can write the decimal forms very easily.