What Is 1/3 × 1/4?

Q: What is 1/3 × 1/4?

1/3 × 1/4 = 1/12 (0.0833 as a decimal).

1/3 × 1/4 = 1/12, about 0.083 as a decimal.

Result

Answer

\frac{1}{3} \times \frac{1}{4} = \textcolor{#0b5c56}{\frac{1}{12}}

The product is 1/12 in simplest form.

Decimal: \displaystyle 0.08\overline{3} (the 3 repeats forever, about 0.0833)
Percent: 8.33%

1 of 12 equal parts

Step-by-step solution

The problem

\frac{1}{3} \times \frac{1}{4}

Multiply. Top times top, bottom times bottom.
= \frac{1 \times 1}{3 \times 4} = \textcolor{#0b5c56}{\frac{1}{12}}
Check that it can't be simplified. 1 and 12 have no common factor other than 1, so this is the simplest form.
\text{GCF}(1, 12) = 1

All the working together

\begin{aligned} &\frac{1}{3} \times \frac{1}{4} \\[8pt]  &= \frac{1 \times 1}{3 \times 4} && \textcolor{#5b6660}{\textsf{multiply}} \\[8pt]  &= \textcolor{#0b5c56}{\frac{1}{12}}\end{aligned}

The answer in other forms

Simplest form	1/12
Decimal	0.08333… (the 3 repeats forever)
Percent	≈ 8.33%
Same fractions	1/3 + 1/4, 1/3 − 1/4, 1/3 ÷ 1/4

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