What Is 1/2 × 1/6?

Q: What is 1/2 × 1/6?

1/2 × 1/6 = 1/12 (0.0833 as a decimal).

1/2 × 1/6 = 1/12, about 0.083 as a decimal.

Result

Answer

\frac{1}{2} \times \frac{1}{6} = \textcolor{#0b5c56}{\frac{1}{12}}

The product is 1/12 in simplest form.

Decimal: \displaystyle 0.08\overline{3} (the 3 repeats forever, about 0.0833)
Percent: 8.33%

1 of 12 equal parts

Step-by-step solution

The problem

\frac{1}{2} \times \frac{1}{6}

Multiply. Top times top, bottom times bottom.
= \frac{1 \times 1}{2 \times 6} = \textcolor{#0b5c56}{\frac{1}{12}}
Check that it can't be simplified. 1 and 12 have no common factor other than 1, so this is the simplest form.
\text{GCF}(1, 12) = 1

All the working together

\begin{aligned} &\frac{1}{2} \times \frac{1}{6} \\[8pt]  &= \frac{1 \times 1}{2 \times 6} && \textcolor{#5b6660}{\textsf{multiply}} \\[8pt]  &= \textcolor{#0b5c56}{\frac{1}{12}}\end{aligned}

The answer in other forms

Simplest form	1/12
Decimal	0.08333… (the 3 repeats forever)
Percent	≈ 8.33%
Same fractions	1/2 + 1/6, 1/2 − 1/6, 1/2 ÷ 1/6

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