What Is 1/6 × 5/6?

Q: What is 1/6 × 5/6?

1/6 × 5/6 = 5/36 (0.1389 as a decimal).

1/6 × 5/6 = 5/36, about 0.139 as a decimal.

Result

Answer

\frac{1}{6} \times \frac{5}{6} = \textcolor{#0b5c56}{\frac{5}{36}}

The product is 5/36 in simplest form.

Decimal: \displaystyle 0.13\overline{8} (the 8 repeats forever, about 0.1389)
Percent: 13.89%

5 of 36 equal parts

Step-by-step solution

The problem

\frac{1}{6} \times \frac{5}{6}

Multiply. Top times top, bottom times bottom.
= \frac{1 \times 5}{6 \times 6} = \textcolor{#0b5c56}{\frac{5}{36}}
Check that it can't be simplified. 5 and 36 have no common factor other than 1, so this is the simplest form.
\text{GCF}(5, 36) = 1

All the working together

\begin{aligned} &\frac{1}{6} \times \frac{5}{6} \\[8pt]  &= \frac{1 \times 5}{6 \times 6} && \textcolor{#5b6660}{\textsf{multiply}} \\[8pt]  &= \textcolor{#0b5c56}{\frac{5}{36}}\end{aligned}

The answer in other forms

Simplest form	5/36
Decimal	0.13888… (the 8 repeats forever)
Percent	≈ 13.89%
Same fractions	1/6 + 5/6, 5/6 − 1/6, 1/6 ÷ 5/6

1/6 times other fractions

Sum	Answer
1/6 × 1/2	1/12
1/6 × 1/3	1/18
1/6 × 2/3	1/9
1/6 × 1/4	1/24
1/6 × 3/4	1/8
1/6 × 1/5	1/30
1/6 × 2/5	1/15
1/6 × 3/5	1/10
1/6 × 4/5	2/15
1/6 × 1/6	1/36
1/6 × 5/6	5/36
1/6 × 1/8	1/48
1/6 × 3/8	1/16
1/6 × 5/8	5/48
1/6 × 7/8	7/48