What Is 1/4 × 5/8?

Q: What is 1/4 × 5/8?

1/4 × 5/8 = 5/32 (0.1563 as a decimal).

1/4 × 5/8 = 5/32, which is 0.15625 as a decimal.

Result

Answer

\frac{1}{4} \times \frac{5}{8} = \textcolor{#0b5c56}{\frac{5}{32}}

The product is 5/32 in simplest form.

Decimal: \displaystyle 0.15625
Percent: 15.63%

5 of 32 equal parts

Step-by-step solution

The problem

\frac{1}{4} \times \frac{5}{8}

Multiply. Top times top, bottom times bottom.
= \frac{1 \times 5}{4 \times 8} = \textcolor{#0b5c56}{\frac{5}{32}}
Check that it can't be simplified. 5 and 32 have no common factor other than 1, so this is the simplest form.
\text{GCF}(5, 32) = 1

All the working together

\begin{aligned} &\frac{1}{4} \times \frac{5}{8} \\[8pt]  &= \frac{1 \times 5}{4 \times 8} && \textcolor{#5b6660}{\textsf{multiply}} \\[8pt]  &= \textcolor{#0b5c56}{\frac{5}{32}}\end{aligned}

The answer in other forms

Simplest form	5/32
Decimal	0.15625
Percent	15.625%
Same fractions	1/4 + 5/8, 5/8 − 1/4, 1/4 ÷ 5/8

1/4 times other fractions

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