Question

Convert 0.3125 into a common fraction.

Answer

100% (3 rated)

The correct answer is: $5/16$

Explanation

To convert a terminating decimal to a fraction, write the decimal over a power of 10 (depending on the number of decimal places) and then simplify.

Steps:

  1. Write as a fraction over $10^4$ because there are four decimal places:

$$0.3125=\frac{3125}{10000}$$

  1. Divide numerator and denominator by their greatest common divisor (125):

$$\frac{3125}{10000}=\frac{3125\div125}{10000\div125}=\frac{25}{80}$$

  1. Reduce further by dividing by 5:

$$\frac{25}{80}=\frac{25\div5}{80\div5}=\frac{5}{16}$$

Therefore, $0.3125=\frac{5}{16}$.