0.72 as a Fraction

0.72 as a fraction is 18/25 in simplest form, which is 72%.

Result

Answer

0.72 = \textcolor{#0b5c56}{\frac{18}{25}}

0.72 as a fraction is 18/25.

  • Percent: 72%
0118/25

Step-by-step solution

The problem

0.72

  1. Write the digits over 100. 0.72 has 2 decimal places, so put the digits (without the point) over 1 followed by 2 zeros.

    = \textcolor{#0b5c56}{\frac{72}{100}}

  2. Simplify. Write both as prime factors:\begin{aligned} 72 &= 2^{3} \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{72 \div 4}{100 \div 4} = \textcolor{#0b5c56}{\frac{18}{25}}

All the working together

\begin{aligned} &0.72 \\[8pt] &= \frac{72}{100} && \textcolor{#5b6660}{\textsf{over 100}} \\[8pt] &= \frac{72 \div 4}{100 \div 4} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt] &= \textcolor{#0b5c56}{\frac{18}{25}}\end{aligned}

0.72 in other forms

Fraction (simplest form)18/25
Before simplifying72/100
Percent72%
The other way18/25 as a decimal

Nearby decimals as fractions

DecimalFractionPercent
0.6767/10067%
0.6817/2568%
0.6969/10069%
0.77/1070%
0.7171/10071%
0.7218/2572%
0.7373/10073%
0.7437/5074%
0.753/475%
0.7619/2576%
0.7777/10077%

Frequently asked questions

What is 0.72 as a fraction?

0.72 as a fraction is 18/25. 0.72 has 2 decimal places, so write the digits over 100: 72/100. Divide the top and bottom by 4 (their greatest common factor) to get 18/25.

What is 0.72 as a percent?

0.72 is 72%: multiply by 100 (move the decimal point two places to the right).

Is 18/25 the simplest form?

Yes. 18 and 25 have no common factor other than 1, because the greatest common factor 4 was divided out of 72/100.

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.