What Is 1/5 × 5/8?

Q: What is 1/5 × 5/8?

1/5 × 5/8 = 1/8 (0.125 as a decimal).

1/5 × 5/8 = 1/8, which is 0.125 as a decimal.

Result

Answer

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

The product is 1/8 in simplest form.

Decimal: \displaystyle 0.125
Percent: 12.5%

1 of 8 equal parts

Step-by-step solution

The problem

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

Cancel common factors. Divide 5 and 5 by 5.
= \dfrac{1}{\cancel{5}_{\,\textcolor{#0b5c56}{1}}} \times \dfrac{\cancel{5}^{\,\textcolor{#0b5c56}{1}}}{8} = \textcolor{#0b5c56}{\frac{1}{1}} \times \textcolor{#0b5c56}{\frac{1}{8}}
Multiply. Top times top, bottom times bottom.
= \frac{1 \times 1}{1 \times 8} = \textcolor{#0b5c56}{\frac{1}{8}}

All the working together

\begin{aligned} &\frac{1}{5} \times \frac{5}{8} \\[8pt]  &= \dfrac{1}{\cancel{5}_{\,1}} \times \dfrac{\cancel{5}^{\,1}}{8} && \textcolor{#5b6660}{\textsf{cancel}} \\[8pt]  &= \frac{1}{1} \times \frac{1}{8} \\[8pt]  &= \frac{1 \times 1}{1 \times 8} && \textcolor{#5b6660}{\textsf{multiply}} \\[8pt]  &= \textcolor{#0b5c56}{\frac{1}{8}}\end{aligned}

The answer in other forms

Simplest form	1/8
Decimal	0.125
Percent	12.5%
Same fractions	1/5 + 5/8, 5/8 − 1/5, 1/5 ÷ 5/8

1/5 times other fractions

Sum	Answer
1/5 × 1/2	1/10
1/5 × 1/3	1/15
1/5 × 2/3	2/15
1/5 × 1/4	1/20
1/5 × 3/4	3/20
1/5 × 1/5	1/25
1/5 × 2/5	2/25
1/5 × 3/5	3/25
1/5 × 4/5	4/25
1/5 × 1/6	1/30
1/5 × 5/6	1/6
1/5 × 1/8	1/40
1/5 × 3/8	3/40
1/5 × 5/8	1/8
1/5 × 7/8	7/40