0.8125 as a Fraction

0.8125 as a fraction is 13/16 in simplest form, which is 81.25%.

Result

Answer

0.8125 = \textcolor{#0b5c56}{\frac{13}{16}}

0.8125 as a fraction is 13/16.

  • Percent: 81.25%
0113/16

Step-by-step solution

The problem

0.8125

  1. Write the digits over 10,000. 0.8125 has 4 decimal places, so put the digits (without the point) over 1 followed by 4 zeros.

    = \textcolor{#0b5c56}{\frac{8125}{10{,}000}}

  2. Simplify. Write both as prime factors:\begin{aligned} 8125 &= 5^{4} \times 13 \\[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{8125 \div 625}{10{,}000 \div 625} = \textcolor{#0b5c56}{\frac{13}{16}}

All the working together

\begin{aligned} &0.8125 \\[8pt] &= \frac{8125}{10{,}000} && \textcolor{#5b6660}{\textsf{over 10,000}} \\[8pt] &= \frac{8125 \div 625}{10{,}000 \div 625} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt] &= \textcolor{#0b5c56}{\frac{13}{16}}\end{aligned}

0.8125 in other forms

Fraction (simplest form)13/16
Before simplifying8125/10,000
Percent81.25%
The other way13/16 as a decimal

Nearby decimals as fractions

DecimalFractionPercent
0.6255/862.5%
0.6562521/3265.625%
0.687511/1668.75%
0.7187523/3271.875%
0.7812525/3278.125%
0.812513/1681.25%
0.8437527/3284.375%
0.8757/887.5%
0.9062529/3290.625%
0.937515/1693.75%
0.9687531/3296.875%

Frequently asked questions

What is 0.8125 as a fraction?

0.8125 as a fraction is 13/16. 0.8125 has 4 decimal places, so write the digits over 10,000: 8125/10,000. Divide the top and bottom by 625 (their greatest common factor) to get 13/16.

What is 0.8125 as a percent?

0.8125 is 81.25%: multiply by 100 (move the decimal point two places to the right).

Is 13/16 the simplest form?

Yes. 13 and 16 have no common factor other than 1, because the greatest common factor 625 was divided out of 8125/10,000.

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.