0.64 as a Fraction

0.64 as a fraction is 16/25 in simplest form, which is 64%.

Result

Answer

0.64 = \textcolor{#0b5c56}{\frac{16}{25}}

0.64 as a fraction is 16/25.

  • Percent: 64%
0116/25

Step-by-step solution

The problem

0.64

  1. Write the digits over 100. 0.64 has 2 decimal places, so put the digits (without the point) over 1 followed by 2 zeros.

    = \textcolor{#0b5c56}{\frac{64}{100}}

  2. Simplify. Write both as prime factors:\begin{aligned} 64 &= 2^{6} \\[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{64 \div 4}{100 \div 4} = \textcolor{#0b5c56}{\frac{16}{25}}

All the working together

\begin{aligned} &0.64 \\[8pt] &= \frac{64}{100} && \textcolor{#5b6660}{\textsf{over 100}} \\[8pt] &= \frac{64 \div 4}{100 \div 4} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt] &= \textcolor{#0b5c56}{\frac{16}{25}}\end{aligned}

0.64 in other forms

Fraction (simplest form)16/25
Before simplifying64/100
Percent64%
The other way16/25 as a decimal

Nearby decimals as fractions

DecimalFractionPercent
0.5959/10059%
0.63/560%
0.6161/10061%
0.6231/5062%
0.6363/10063%
0.6416/2564%
0.6513/2065%
0.6633/5066%
0.6767/10067%
0.6817/2568%
0.6969/10069%

Frequently asked questions

What is 0.64 as a fraction?

0.64 as a fraction is 16/25. 0.64 has 2 decimal places, so write the digits over 100: 64/100. Divide the top and bottom by 4 (their greatest common factor) to get 16/25.

What is 0.64 as a percent?

0.64 is 64%: multiply by 100 (move the decimal point two places to the right).

Is 16/25 the simplest form?

Yes. 16 and 25 have no common factor other than 1, because the greatest common factor 4 was divided out of 64/100.

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.