0.02 as a Fraction

0.02 as a fraction is 1/50 in simplest form, which is 2%.

Result

Answer

0.02 = \textcolor{#0b5c56}{\frac{1}{50}}

0.02 as a fraction is 1/50.

  • Percent: 2%
011/50

Step-by-step solution

The problem

0.02

  1. Write the digits over 100. 0.02 has 2 decimal places, so put the digits (without the point) over 1 followed by 2 zeros.

    = \textcolor{#0b5c56}{\frac{2}{100}}

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

    = \frac{2 \div 2}{100 \div 2} = \textcolor{#0b5c56}{\frac{1}{50}}

All the working together

\begin{aligned} &0.02 \\[8pt] &= \frac{2}{100} && \textcolor{#5b6660}{\textsf{over 100}} \\[8pt] &= \frac{2 \div 2}{100 \div 2} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt] &= \textcolor{#0b5c56}{\frac{1}{50}}\end{aligned}

0.02 in other forms

Fraction (simplest form)1/50
Before simplifying2/100
Percent2%
The other way1/50 as a decimal

Nearby decimals as fractions

DecimalFractionPercent
0.011/1001%
0.021/502%
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%

Frequently asked questions

What is 0.02 as a fraction?

0.02 as a fraction is 1/50. 0.02 has 2 decimal places, so write the digits over 100: 2/100. Divide the top and bottom by 2 (their greatest common factor) to get 1/50.

What is 0.02 as a percent?

0.02 is 2%: multiply by 100 (move the decimal point two places to the right).

Is 1/50 the simplest form?

Yes. 1 and 50 have no common factor other than 1, because the greatest common factor 2 was divided out of 2/100.

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.