0.06 as a Fraction

0.06 as a fraction is 3/50 in simplest form, which is 6%.

Result

Answer

0.06 = \textcolor{#0b5c56}{\frac{3}{50}}

0.06 as a fraction is 3/50.

  • Percent: 6%
013/50

Step-by-step solution

The problem

0.06

  1. Write the digits over 100. 0.06 has 2 decimal places, so put the digits (without the point) over 1 followed by 2 zeros.

    = \textcolor{#0b5c56}{\frac{6}{100}}

  2. Simplify. Write both as prime factors:\begin{aligned} 6 &= 2 \times 3 \\[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{6 \div 2}{100 \div 2} = \textcolor{#0b5c56}{\frac{3}{50}}

All the working together

\begin{aligned} &0.06 \\[8pt] &= \frac{6}{100} && \textcolor{#5b6660}{\textsf{over 100}} \\[8pt] &= \frac{6 \div 2}{100 \div 2} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt] &= \textcolor{#0b5c56}{\frac{3}{50}}\end{aligned}

0.06 in other forms

Fraction (simplest form)3/50
Before simplifying6/100
Percent6%
The other way3/50 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 0.06 as a fraction?

0.06 as a fraction is 3/50. 0.06 has 2 decimal places, so write the digits over 100: 6/100. Divide the top and bottom by 2 (their greatest common factor) to get 3/50.

What is 0.06 as a percent?

0.06 is 6%: multiply by 100 (move the decimal point two places to the right).

Is 3/50 the simplest form?

Yes. 3 and 50 have no common factor other than 1, because the greatest common factor 2 was divided out of 6/100.

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.