0.16 as a Fraction

0.16 as a fraction is 4/25 in simplest form, which is 16%.

Result

Answer

0.16 = \textcolor{#0b5c56}{\frac{4}{25}}

0.16 as a fraction is 4/25.

  • Percent: 16%
014/25

Step-by-step solution

The problem

0.16

  1. Write the digits over 100. 0.16 has 2 decimal places, so put the digits (without the point) over 1 followed by 2 zeros.

    = \textcolor{#0b5c56}{\frac{16}{100}}

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

All the working together

\begin{aligned} &0.16 \\[8pt] &= \frac{16}{100} && \textcolor{#5b6660}{\textsf{over 100}} \\[8pt] &= \frac{16 \div 4}{100 \div 4} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt] &= \textcolor{#0b5c56}{\frac{4}{25}}\end{aligned}

0.16 in other forms

Fraction (simplest form)4/25
Before simplifying16/100
Percent16%
The other way4/25 as a decimal

Nearby decimals as fractions

DecimalFractionPercent
0.1111/10011%
0.123/2512%
0.1313/10013%
0.147/5014%
0.153/2015%
0.164/2516%
0.1717/10017%
0.189/5018%
0.1919/10019%
0.21/520%
0.2121/10021%

Frequently asked questions

What is 0.16 as a fraction?

0.16 as a fraction is 4/25. 0.16 has 2 decimal places, so write the digits over 100: 16/100. Divide the top and bottom by 4 (their greatest common factor) to get 4/25.

What is 0.16 as a percent?

0.16 is 16%: multiply by 100 (move the decimal point two places to the right).

Is 4/25 the simplest form?

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

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.