3.6 as a Fraction

3.6 as a fraction is 18/5, or 3 3/5 as a mixed number.

Result

Answer

3.6 = \textcolor{#0b5c56}{\frac{18}{5} = 3\frac{3}{5}}

3.6 as a fraction is 18/5, or 3 3/5 as a mixed number.

  • Mixed number: \displaystyle 3\frac{3}{5}
  • Percent: 360%
343 3/5

Step-by-step solution

The problem

3.6

  1. Write the digits over 10. 3.6 has 1 decimal place, so put the digits (without the point) over 1 followed by 1 zero.

    = \textcolor{#0b5c56}{\frac{36}{10}}

  2. Simplify. List the factors of each:
    Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
    Factors of 10: 1, 2, 5, 10
    The greatest common factor (GCF) is 2. Divide the top and bottom by 2.

    = \frac{36 \div 2}{10 \div 2} = \textcolor{#0b5c56}{\frac{18}{5}}

  3. Write it as a mixed number. 18 ÷ 5 = 3 remainder 3: the whole number is 3 and 3 is the new numerator.

    18 \div 5 = 3\ \text{R}\ 3
    = \textcolor{#0b5c56}{3\frac{3}{5}}

All the working together

\begin{aligned} &3.6 \\[8pt] &= \frac{36}{10} && \textcolor{#5b6660}{\textsf{over 10}} \\[8pt] &= \frac{36 \div 2}{10 \div 2} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt] &= \frac{18}{5} \\[8pt] &= \textcolor{#0b5c56}{3\frac{3}{5}} && \textcolor{#5b6660}{\textsf{mixed number}}\end{aligned}

3.6 in other forms

Fraction (simplest form)18/5
Mixed number3 3/5
Before simplifying36/10
Percent360%

Nearby decimals as fractions

DecimalFractionPercent
3.3567/20335%
3.417/5340%
3.4569/20345%
3.57/2350%
3.5571/20355%
3.618/5360%
3.6573/20365%
3.737/10370%
3.7515/4375%
3.819/5380%
3.8577/20385%

Frequently asked questions

What is 3.6 as a fraction?

3.6 as a fraction is 18/5, or 3 3/5 as a mixed number. 3.6 has 1 decimal place, so write the digits over 10: 36/10. Divide the top and bottom by 2 (their greatest common factor) to get 18/5.

What is 3.6 as a percent?

3.6 is 360%: multiply by 100 (move the decimal point two places to the right).

Is 18/5 the simplest form?

Yes. 18 and 5 have no common factor other than 1, because the greatest common factor 2 was divided out of 36/10.

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.