What Is 2/3 + 2/3?

Q: What is 2/3 + 2/3?

2/3 + 2/3 = 4/3 = 1 1/3 (1.3333 as a decimal).

2/3 + 2/3 = 4/3, or 1 1/3 as a mixed number.

Result

Answer

\frac{2}{3} + \frac{2}{3} = \textcolor{#0b5c56}{\frac{4}{3} = 1\frac{1}{3}}

The sum is 4/3 in simplest form, or 1 1/3 as a mixed number.

Decimal: \displaystyle 1.\overline{3} (the 3 repeats forever, about 1.3333)
Percent: 133.33%

1 whole + 1 of 3 equal parts

Step-by-step solution

The problem

\frac{2}{3} + \frac{2}{3}

Add the numerators. Keep the denominator 3.
= \frac{2 + 2}{3} = \textcolor{#0b5c56}{\frac{4}{3}}
Check that it can't be simplified. 4 and 3 have no common factor other than 1, so this is the simplest form.
\text{GCF}(4, 3) = 1
Write it as a mixed number. Divide: 3 goes into 4 1 time with 1 left over. The whole number is 1, the remainder 1 becomes the numerator, and the denominator stays 3.
4 \div 3 = 1\ \text{R}\ 1
= \textcolor{#0b5c56}{1\frac{1}{3}}

All the working together

\begin{aligned} &\frac{2}{3} + \frac{2}{3} \\[8pt]  &= \frac{2 + 2}{3} && \textcolor{#5b6660}{\textsf{add}} \\[8pt]  &= \frac{4}{3} \\[8pt]  &= \textcolor{#0b5c56}{1\frac{1}{3}} && \textcolor{#5b6660}{\textsf{mixed number}}\end{aligned}

The answer in other forms

Simplest form	4/3
Mixed number	1 1/3
Decimal	1.333… (the 3 repeats forever)
Percent	≈ 133.33%
Same fractions	2/3 × 2/3

2/3 plus other fractions

Sum	Answer
2/3 + 1/2	7/6
2/3 + 1/3	1
2/3 + 2/3	4/3
2/3 + 1/4	11/12
2/3 + 3/4	17/12
2/3 + 1/5	13/15
2/3 + 2/5	16/15
2/3 + 3/5	19/15
2/3 + 4/5	22/15
2/3 + 1/6	5/6
2/3 + 5/6	3/2
2/3 + 1/8	19/24
2/3 + 3/8	25/24
2/3 + 5/8	31/24
2/3 + 7/8	37/24