What Is 1/3 + 1/3?

1/3 + 1/3 = 2/3, about 0.667 as a decimal.

Result

Answer

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

The sum is 2/3 in simplest form.

  • Decimal: \displaystyle 0.\overline{6} (the 6 repeats forever, about 0.6667)
  • Percent: 66.67%

2 of 3 equal parts

Step-by-step solution

The problem

\frac{1}{3} + \frac{1}{3}

  1. Add the numerators. Keep the denominator 3.

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

  2. Check that it can't be simplified. 2 and 3 have no common factor other than 1, so this is the simplest form.

    \text{GCF}(2, 3) = 1

All the working together

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

The answer in other forms

Simplest form2/3
Decimal0.666… (the 6 repeats forever)
Percent≈ 66.67%
Same fractions1/3 × 1/3

1/3 plus other fractions

SumAnswer
1/3 + 1/25/6
1/3 + 1/32/3
1/3 + 2/31
1/3 + 1/47/12
1/3 + 3/413/12
1/3 + 1/58/15
1/3 + 2/511/15
1/3 + 3/514/15
1/3 + 4/517/15
1/3 + 1/61/2
1/3 + 5/67/6
1/3 + 1/811/24
1/3 + 3/817/24
1/3 + 5/823/24
1/3 + 7/829/24

Frequently asked questions

What is 1/3 + 1/3?

1/3 + 1/3 = 2/3 (0.6667 as a decimal).

How do you add 1/3 and 1/3?

Write both over a common denominator, add the numerators and simplify. The working above shows each step.

Other fractions, mixed numbers or up to five terms: use the Fraction Calculator.