What Is 2/3 × 2/3?

Q: What is 2/3 × 2/3?

2/3 × 2/3 = 4/9 (0.4444 as a decimal).

2/3 × 2/3 = 4/9, about 0.444 as a decimal.

Result

Answer

\frac{2}{3} \times \frac{2}{3} = \textcolor{#0b5c56}{\frac{4}{9}}

The product is 4/9 in simplest form.

Decimal: \displaystyle 0.\overline{4} (the 4 repeats forever, about 0.4444)
Percent: 44.44%

4 of 9 equal parts

Step-by-step solution

The problem

\frac{2}{3} \times \frac{2}{3}

Multiply. Top times top, bottom times bottom.
= \frac{2 \times 2}{3 \times 3} = \textcolor{#0b5c56}{\frac{4}{9}}
Check that it can't be simplified. 4 and 9 have no common factor other than 1, so this is the simplest form.
\text{GCF}(4, 9) = 1

All the working together

\begin{aligned} &\frac{2}{3} \times \frac{2}{3} \\[8pt]  &= \frac{2 \times 2}{3 \times 3} && \textcolor{#5b6660}{\textsf{multiply}} \\[8pt]  &= \textcolor{#0b5c56}{\frac{4}{9}}\end{aligned}

The answer in other forms

Simplest form	4/9
Decimal	0.444… (the 4 repeats forever)
Percent	≈ 44.44%
Same fractions	2/3 + 2/3

2/3 times other fractions

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