What Is 1/3 × 3/8?

Q: What is 1/3 × 3/8?

1/3 × 3/8 = 1/8 (0.125 as a decimal).

1/3 × 3/8 = 1/8, which is 0.125 as a decimal.

Result

Answer

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

Cancel common factors. Divide 3 and 3 by 3.
= \dfrac{1}{\cancel{3}_{\,\textcolor{#0b5c56}{1}}} \times \dfrac{\cancel{3}^{\,\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}{3} \times \frac{3}{8} \\[8pt]  &= \dfrac{1}{\cancel{3}_{\,1}} \times \dfrac{\cancel{3}^{\,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	1/3 + 3/8, 3/8 − 1/3, 1/3 ÷ 3/8

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