0.08 as a Fraction

0.08 as a fraction is 2/25 in simplest form, which is 8%.

Result

Answer

0.08 = \textcolor{#0b5c56}{\frac{2}{25}}

0.08 as a fraction is 2/25.

  • Percent: 8%
012/25

Step-by-step solution

The problem

0.08

  1. Write the digits over 100. 0.08 has 2 decimal places, so put the digits (without the point) over 1 followed by 2 zeros.

    = \textcolor{#0b5c56}{\frac{8}{100}}

  2. Simplify. Write both as prime factors:\begin{aligned} 8 &= 2^{3} \\[6pt] 100 &= 2^{2} \times 5^{2} \end{aligned}The factors they share give the greatest common factor (GCF): \displaystyle 2^{2} = 4. Divide the top and bottom by 4.

    = \frac{8 \div 4}{100 \div 4} = \textcolor{#0b5c56}{\frac{2}{25}}

All the working together

\begin{aligned} &0.08 \\[8pt] &= \frac{8}{100} && \textcolor{#5b6660}{\textsf{over 100}} \\[8pt] &= \frac{8 \div 4}{100 \div 4} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt] &= \textcolor{#0b5c56}{\frac{2}{25}}\end{aligned}

0.08 in other forms

Fraction (simplest form)2/25
Before simplifying8/100
Percent8%
The other way2/25 as a decimal

Nearby decimals as fractions

DecimalFractionPercent
0.033/1003%
0.041/254%
0.051/205%
0.063/506%
0.077/1007%
0.082/258%
0.099/1009%
0.11/1010%
0.1111/10011%
0.123/2512%
0.1313/10013%

Frequently asked questions

What is 0.08 as a fraction?

0.08 as a fraction is 2/25. 0.08 has 2 decimal places, so write the digits over 100: 8/100. Divide the top and bottom by 4 (their greatest common factor) to get 2/25.

What is 0.08 as a percent?

0.08 is 8%: multiply by 100 (move the decimal point two places to the right).

Is 2/25 the simplest form?

Yes. 2 and 25 have no common factor other than 1, because the greatest common factor 4 was divided out of 8/100.

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.