0.36 as a Fraction

0.36 as a fraction is 9/25 in simplest form, which is 36%.

Result

Answer

0.36 = \textcolor{#0b5c56}{\frac{9}{25}}

0.36 as a fraction is 9/25.

  • Percent: 36%
019/25

Step-by-step solution

The problem

0.36

  1. Write the digits over 100. 0.36 has 2 decimal places, so put the digits (without the point) over 1 followed by 2 zeros.

    = \textcolor{#0b5c56}{\frac{36}{100}}

  2. Simplify. Write both as prime factors:\begin{aligned} 36 &= 2^{2} \times 3^{2} \\[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{36 \div 4}{100 \div 4} = \textcolor{#0b5c56}{\frac{9}{25}}

All the working together

\begin{aligned} &0.36 \\[8pt] &= \frac{36}{100} && \textcolor{#5b6660}{\textsf{over 100}} \\[8pt] &= \frac{36 \div 4}{100 \div 4} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt] &= \textcolor{#0b5c56}{\frac{9}{25}}\end{aligned}

0.36 in other forms

Fraction (simplest form)9/25
Before simplifying36/100
Percent36%
The other way9/25 as a decimal

Nearby decimals as fractions

DecimalFractionPercent
0.3131/10031%
0.328/2532%
0.3333/10033%
0.3417/5034%
0.357/2035%
0.369/2536%
0.3737/10037%
0.3819/5038%
0.3939/10039%
0.42/540%
0.4141/10041%

Frequently asked questions

What is 0.36 as a fraction?

0.36 as a fraction is 9/25. 0.36 has 2 decimal places, so write the digits over 100: 36/100. Divide the top and bottom by 4 (their greatest common factor) to get 9/25.

What is 0.36 as a percent?

0.36 is 36%: multiply by 100 (move the decimal point two places to the right).

Is 9/25 the simplest form?

Yes. 9 and 25 have no common factor other than 1, because the greatest common factor 4 was divided out of 36/100.

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.