What Is 1/3 × 7/8?

Q: What is 1/3 × 7/8?

1/3 × 7/8 = 7/24 (0.2917 as a decimal).

1/3 × 7/8 = 7/24, about 0.292 as a decimal.

Result

Answer

\frac{1}{3} \times \frac{7}{8} = \textcolor{#0b5c56}{\frac{7}{24}}

The product is 7/24 in simplest form.

Decimal: \displaystyle 0.291\overline{6} (the 6 repeats forever, about 0.2917)
Percent: 29.17%

7 of 24 equal parts

Step-by-step solution

The problem

\frac{1}{3} \times \frac{7}{8}

Multiply. Top times top, bottom times bottom.
= \frac{1 \times 7}{3 \times 8} = \textcolor{#0b5c56}{\frac{7}{24}}
Check that it can't be simplified. 7 and 24 have no common factor other than 1, so this is the simplest form.
\text{GCF}(7, 24) = 1

All the working together

\begin{aligned} &\frac{1}{3} \times \frac{7}{8} \\[8pt]  &= \frac{1 \times 7}{3 \times 8} && \textcolor{#5b6660}{\textsf{multiply}} \\[8pt]  &= \textcolor{#0b5c56}{\frac{7}{24}}\end{aligned}

The answer in other forms

Simplest form	7/24
Decimal	0.291666… (the 6 repeats forever)
Percent	≈ 29.17%
Same fractions	1/3 + 7/8, 7/8 − 1/3, 1/3 ÷ 7/8

1/3 times other fractions

Sum	Answer
1/3 × 1/2	1/6
1/3 × 1/3	1/9
1/3 × 2/3	2/9
1/3 × 1/4	1/12
1/3 × 3/4	1/4
1/3 × 1/5	1/15
1/3 × 2/5	2/15
1/3 × 3/5	1/5
1/3 × 4/5	4/15
1/3 × 1/6	1/18
1/3 × 5/6	5/18
1/3 × 1/8	1/24
1/3 × 3/8	1/8
1/3 × 5/8	5/24
1/3 × 7/8	7/24