What Is 3/4 × 2/5?

Q: What is 3/4 × 2/5?

3/4 × 2/5 = 3/10 (0.3 as a decimal).

3/4 × 2/5 = 3/10, which is 0.3 as a decimal.

Result

Answer

\frac{3}{4} \times \frac{2}{5} = \textcolor{#0b5c56}{\frac{3}{10}}

The product is 3/10 in simplest form.

Decimal: \displaystyle 0.3
Percent: 30%

3 of 10 equal parts

Step-by-step solution

The problem

\frac{3}{4} \times \frac{2}{5}

Cancel common factors. Divide 2 and 4 by 2.
= \dfrac{3}{\cancel{4}_{\,\textcolor{#0b5c56}{2}}} \times \dfrac{\cancel{2}^{\,\textcolor{#0b5c56}{1}}}{5} = \textcolor{#0b5c56}{\frac{3}{2}} \times \textcolor{#0b5c56}{\frac{1}{5}}
Multiply. Top times top, bottom times bottom.
= \frac{3 \times 1}{2 \times 5} = \textcolor{#0b5c56}{\frac{3}{10}}

All the working together

\begin{aligned} &\frac{3}{4} \times \frac{2}{5} \\[8pt]  &= \dfrac{3}{\cancel{4}_{\,2}} \times \dfrac{\cancel{2}^{\,1}}{5} && \textcolor{#5b6660}{\textsf{cancel}} \\[8pt]  &= \frac{3}{2} \times \frac{1}{5} \\[8pt]  &= \frac{3 \times 1}{2 \times 5} && \textcolor{#5b6660}{\textsf{multiply}} \\[8pt]  &= \textcolor{#0b5c56}{\frac{3}{10}}\end{aligned}

The answer in other forms

Simplest form	3/10
Decimal	0.3
Percent	30%
Same fractions	3/4 + 2/5, 3/4 − 2/5, 3/4 ÷ 2/5

3/4 times other fractions

Sum	Answer
3/4 × 1/2	3/8
3/4 × 1/3	1/4
3/4 × 2/3	1/2
3/4 × 1/4	3/16
3/4 × 3/4	9/16
3/4 × 1/5	3/20
3/4 × 2/5	3/10
3/4 × 3/5	9/20
3/4 × 4/5	3/5
3/4 × 1/6	1/8
3/4 × 5/6	5/8
3/4 × 1/8	3/32
3/4 × 3/8	9/32
3/4 × 5/8	15/32
3/4 × 7/8	21/32