What Is 1/3 + 2/3?

1/3 + 2/3 = 1, a whole number.

Result

Answer

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

The sum is 1.

  • Decimal: \displaystyle 1
  • Percent: 100%

1 whole

Step-by-step solution

The problem

\frac{1}{3} + \frac{2}{3}

  1. Add the numerators. Keep the denominator 3.

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

  2. Simplify. List the factors of each:
    Factors of 3: 1, 3
    Factors of 3: 1, 3
    The greatest common factor (GCF) is 3. Divide the top and bottom by 3.

    = \frac{3 \div 3}{3 \div 3} = \textcolor{#0b5c56}{1}

All the working together

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

The answer in other forms

Simplest form1
Decimal1
Percent100%
Same fractions2/3 − 1/3, 1/3 × 2/3, 1/3 ÷ 2/3

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 + 2/3?

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

How do you add 1/3 and 2/3?

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.