0.52 as a Fraction

0.52 as a fraction is 13/25 in simplest form, which is 52%.

Result

Answer

0.52 = \textcolor{#0b5c56}{\frac{13}{25}}

0.52 as a fraction is 13/25.

  • Percent: 52%
0113/25

Step-by-step solution

The problem

0.52

  1. Write the digits over 100. 0.52 has 2 decimal places, so put the digits (without the point) over 1 followed by 2 zeros.

    = \textcolor{#0b5c56}{\frac{52}{100}}

  2. Simplify. Write both as prime factors:\begin{aligned} 52 &= 2^{2} \times 13 \\[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{52 \div 4}{100 \div 4} = \textcolor{#0b5c56}{\frac{13}{25}}

All the working together

\begin{aligned} &0.52 \\[8pt] &= \frac{52}{100} && \textcolor{#5b6660}{\textsf{over 100}} \\[8pt] &= \frac{52 \div 4}{100 \div 4} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt] &= \textcolor{#0b5c56}{\frac{13}{25}}\end{aligned}

0.52 in other forms

Fraction (simplest form)13/25
Before simplifying52/100
Percent52%
The other way13/25 as a decimal

Nearby decimals as fractions

DecimalFractionPercent
0.4747/10047%
0.4812/2548%
0.4949/10049%
0.51/250%
0.5151/10051%
0.5213/2552%
0.5353/10053%
0.5427/5054%
0.5511/2055%
0.5614/2556%
0.5757/10057%

Frequently asked questions

What is 0.52 as a fraction?

0.52 as a fraction is 13/25. 0.52 has 2 decimal places, so write the digits over 100: 52/100. Divide the top and bottom by 4 (their greatest common factor) to get 13/25.

What is 0.52 as a percent?

0.52 is 52%: multiply by 100 (move the decimal point two places to the right).

Is 13/25 the simplest form?

Yes. 13 and 25 have no common factor other than 1, because the greatest common factor 4 was divided out of 52/100.

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.