3.2 as a Fraction – 16/5 (3 1/5), with Steps

Q: What is 3.2 as a fraction?

3.2 as a fraction is 16/5, or 3 1/5 as a mixed number. 3.2 has 1 decimal place, so write the digits over 10: 32/10. Divide the top and bottom by 2 (their greatest common factor) to get 16/5.

Q: What is 3.2 as a percent?

3.2 is 320%: multiply by 100 (move the decimal point two places to the right).

3.2 as a Fraction

3.2 as a fraction is 16/5, or 3 1/5 as a mixed number.

Result

Answer

3.2 = \textcolor{#0b5c56}{\frac{16}{5} = 3\frac{1}{5}}

3.2 as a fraction is 16/5, or 3 1/5 as a mixed number.

Mixed number: \displaystyle 3\frac{1}{5}
Percent: 320%

Step-by-step solution

The problem

3.2

Write the digits over 10. 3.2 has 1 decimal place, so put the digits (without the point) over 1 followed by 1 zero.
= \textcolor{#0b5c56}{\frac{32}{10}}
Simplify. List the factors of each:
Factors of 32: 1, 2, 4, 8, 16, 32
Factors of 10: 1, 2, 5, 10
The greatest common factor (GCF) is 2. Divide the top and bottom by 2.
= \frac{32 \div 2}{10 \div 2} = \textcolor{#0b5c56}{\frac{16}{5}}
Write it as a mixed number. 16 ÷ 5 = 3 remainder 1: the whole number is 3 and 1 is the new numerator.
16 \div 5 = 3\ \text{R}\ 1
= \textcolor{#0b5c56}{3\frac{1}{5}}

All the working together

\begin{aligned} &3.2 \\[8pt]  &= \frac{32}{10} && \textcolor{#5b6660}{\textsf{over 10}} \\[8pt]  &= \frac{32 \div 2}{10 \div 2} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt]  &= \frac{16}{5} \\[8pt]  &= \textcolor{#0b5c56}{3\frac{1}{5}} && \textcolor{#5b6660}{\textsf{mixed number}}\end{aligned}

3.2 in other forms

Fraction (simplest form)	16/5
Mixed number	3 1/5
Before simplifying	32/10
Percent	320%

Nearby decimals as fractions

Decimal	Fraction	Percent
2.9	29/10	290%
2.95	59/20	295%
3.05	61/20	305%
3.1	31/10	310%
3.15	63/20	315%
3.2	16/5	320%
3.25	13/4	325%
3.3	33/10	330%
3.35	67/20	335%
3.4	17/5	340%
3.45	69/20	345%

Frequently asked questions

What is 3.2 as a fraction?

3.2 as a fraction is 16/5, or 3 1/5 as a mixed number. 3.2 has 1 decimal place, so write the digits over 10: 32/10. Divide the top and bottom by 2 (their greatest common factor) to get 16/5.

What is 3.2 as a percent?

3.2 is 320%: multiply by 100 (move the decimal point two places to the right).

Is 16/5 the simplest form?

Yes. 16 and 5 have no common factor other than 1, because the greatest common factor 2 was divided out of 32/10.

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.