What Is 1/2 × 1/3?

Q: What is 1/2 × 1/3?

1/2 × 1/3 = 1/6 (0.1667 as a decimal).

1/2 × 1/3 = 1/6, about 0.167 as a decimal.

Result

Answer

\frac{1}{2} \times \frac{1}{3} = \textcolor{#0b5c56}{\frac{1}{6}}

The product is 1/6 in simplest form.

Decimal: \displaystyle 0.1\overline{6} (the 6 repeats forever, about 0.1667)
Percent: 16.67%

1 of 6 equal parts

Step-by-step solution

The problem

\frac{1}{2} \times \frac{1}{3}

Multiply. Top times top, bottom times bottom.
= \frac{1 \times 1}{2 \times 3} = \textcolor{#0b5c56}{\frac{1}{6}}
Check that it can't be simplified. 1 and 6 have no common factor other than 1, so this is the simplest form.
\text{GCF}(1, 6) = 1

All the working together

\begin{aligned} &\frac{1}{2} \times \frac{1}{3} \\[8pt]  &= \frac{1 \times 1}{2 \times 3} && \textcolor{#5b6660}{\textsf{multiply}} \\[8pt]  &= \textcolor{#0b5c56}{\frac{1}{6}}\end{aligned}

The answer in other forms

Simplest form	1/6
Decimal	0.1666… (the 6 repeats forever)
Percent	≈ 16.67%
Same fractions	1/2 + 1/3, 1/2 − 1/3, 1/2 ÷ 1/3

1/2 times other fractions

Sum	Answer
1/2 × 1/2	1/4
1/2 × 1/3	1/6
1/2 × 2/3	1/3
1/2 × 1/4	1/8
1/2 × 3/4	3/8
1/2 × 1/5	1/10
1/2 × 2/5	1/5
1/2 × 3/5	3/10
1/2 × 4/5	2/5
1/2 × 1/6	1/12
1/2 × 5/6	5/12
1/2 × 1/8	1/16
1/2 × 3/8	3/16
1/2 × 5/8	5/16
1/2 × 7/8	7/16