What Is 2/5 × 2/5?

Q: What is 2/5 × 2/5?

2/5 × 2/5 = 4/25 (0.16 as a decimal).

2/5 × 2/5 = 4/25, which is 0.16 as a decimal.

Result

Answer

\frac{2}{5} \times \frac{2}{5} = \textcolor{#0b5c56}{\frac{4}{25}}

The product is 4/25 in simplest form.

Decimal: \displaystyle 0.16
Percent: 16%

4 of 25 equal parts

Step-by-step solution

The problem

\frac{2}{5} \times \frac{2}{5}

Multiply. Top times top, bottom times bottom.
= \frac{2 \times 2}{5 \times 5} = \textcolor{#0b5c56}{\frac{4}{25}}
Check that it can't be simplified. 4 and 25 have no common factor other than 1, so this is the simplest form.
\text{GCF}(4, 25) = 1

All the working together

\begin{aligned} &\frac{2}{5} \times \frac{2}{5} \\[8pt]  &= \frac{2 \times 2}{5 \times 5} && \textcolor{#5b6660}{\textsf{multiply}} \\[8pt]  &= \textcolor{#0b5c56}{\frac{4}{25}}\end{aligned}

The answer in other forms

Simplest form	4/25
Decimal	0.16
Percent	16%
Same fractions	2/5 + 2/5

2/5 times other fractions

Sum	Answer
2/5 × 1/2	1/5
2/5 × 1/3	2/15
2/5 × 2/3	4/15
2/5 × 1/4	1/10
2/5 × 3/4	3/10
2/5 × 1/5	2/25
2/5 × 2/5	4/25
2/5 × 3/5	6/25
2/5 × 4/5	8/25
2/5 × 1/6	1/15
2/5 × 5/6	1/3
2/5 × 1/8	1/20
2/5 × 3/8	3/20
2/5 × 5/8	1/4
2/5 × 7/8	7/20