What Is 1/8 × 5/8?

Q: What is 1/8 × 5/8?

1/8 × 5/8 = 5/64 (0.0781 as a decimal).

1/8 × 5/8 = 5/64, which is 0.078125 as a decimal.

Result

Answer

\frac{1}{8} \times \frac{5}{8} = \textcolor{#0b5c56}{\frac{5}{64}}

The product is 5/64 in simplest form.

Decimal: \displaystyle 0.078125
Percent: 7.81%

5 of 64 equal parts

Step-by-step solution

The problem

\frac{1}{8} \times \frac{5}{8}

Multiply. Top times top, bottom times bottom.
= \frac{1 \times 5}{8 \times 8} = \textcolor{#0b5c56}{\frac{5}{64}}
Check that it can't be simplified. 5 and 64 have no common factor other than 1, so this is the simplest form.
\text{GCF}(5, 64) = 1

All the working together

\begin{aligned} &\frac{1}{8} \times \frac{5}{8} \\[8pt]  &= \frac{1 \times 5}{8 \times 8} && \textcolor{#5b6660}{\textsf{multiply}} \\[8pt]  &= \textcolor{#0b5c56}{\frac{5}{64}}\end{aligned}

The answer in other forms

Simplest form	5/64
Decimal	0.078125
Percent	7.8125%
Same fractions	1/8 + 5/8, 5/8 − 1/8, 1/8 ÷ 5/8

1/8 times other fractions

Sum	Answer
1/8 × 1/2	1/16
1/8 × 1/3	1/24
1/8 × 2/3	1/12
1/8 × 1/4	1/32
1/8 × 3/4	3/32
1/8 × 1/5	1/40
1/8 × 2/5	1/20
1/8 × 3/5	3/40
1/8 × 4/5	1/10
1/8 × 1/6	1/48
1/8 × 5/6	5/48
1/8 × 1/8	1/64
1/8 × 3/8	3/64
1/8 × 5/8	5/64
1/8 × 7/8	7/64