0.3125 as a Fraction

0.3125 as a fraction is 5/16 in simplest form, which is 31.25%.

Result

Answer

0.3125 = \textcolor{#0b5c56}{\frac{5}{16}}

0.3125 as a fraction is 5/16.

  • Percent: 31.25%
015/16

Step-by-step solution

The problem

0.3125

  1. Write the digits over 10,000. 0.3125 has 4 decimal places, so put the digits (without the point) over 1 followed by 4 zeros.

    = \textcolor{#0b5c56}{\frac{3125}{10{,}000}}

  2. Simplify. Write both as prime factors:\begin{aligned} 3125 &= 5^{5} \\[6pt] 10{,}000 &= 2^{4} \times 5^{4} \end{aligned}The factors they share give the greatest common factor (GCF): \displaystyle 5^{4} = 625. Divide the top and bottom by 625.

    = \frac{3125 \div 625}{10{,}000 \div 625} = \textcolor{#0b5c56}{\frac{5}{16}}

All the working together

\begin{aligned} &0.3125 \\[8pt] &= \frac{3125}{10{,}000} && \textcolor{#5b6660}{\textsf{over 10,000}} \\[8pt] &= \frac{3125 \div 625}{10{,}000 \div 625} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt] &= \textcolor{#0b5c56}{\frac{5}{16}}\end{aligned}

0.3125 in other forms

Fraction (simplest form)5/16
Before simplifying3125/10,000
Percent31.25%
The other way5/16 as a decimal

Nearby decimals as fractions

DecimalFractionPercent
0.1251/812.5%
0.156255/3215.625%
0.18753/1618.75%
0.218757/3221.875%
0.281259/3228.125%
0.31255/1631.25%
0.3437511/3234.375%
0.3753/837.5%
0.4062513/3240.625%
0.43757/1643.75%
0.4687515/3246.875%

Frequently asked questions

What is 0.3125 as a fraction?

0.3125 as a fraction is 5/16. 0.3125 has 4 decimal places, so write the digits over 10,000: 3125/10,000. Divide the top and bottom by 625 (their greatest common factor) to get 5/16.

What is 0.3125 as a percent?

0.3125 is 31.25%: multiply by 100 (move the decimal point two places to the right).

Is 5/16 the simplest form?

Yes. 5 and 16 have no common factor other than 1, because the greatest common factor 625 was divided out of 3125/10,000.

More decimals as fractions

Any other decimal, including longer repeating ones: use the Decimal to Fraction Calculator, or look it up on the printable fraction chart.