What Is 1/6 + 1/6?

1/6 + 1/6 = 1/3, about 0.333 as a decimal.

Result

Answer

\frac{1}{6} + \frac{1}{6} = \textcolor{#0b5c56}{\frac{1}{3}}

The sum is 1/3 in simplest form.

  • Decimal: \displaystyle 0.\overline{3} (the 3 repeats forever, about 0.3333)
  • Percent: 33.33%

1 of 3 equal parts

Step-by-step solution

The problem

\frac{1}{6} + \frac{1}{6}
  1. Add the numerators. Keep the denominator 6.

    = \frac{1 + 1}{6} = \textcolor{#0b5c56}{\frac{2}{6}}
  2. Simplify. List the factors of each:
    Factors of 2: 1, 2
    Factors of 6: 1, 2, 3, 6
    The greatest common factor (GCF) is 2. Divide the top and bottom by 2.

    = \frac{2 \div 2}{6 \div 2} = \textcolor{#0b5c56}{\frac{1}{3}}

All the working together

\begin{aligned} &\frac{1}{6} + \frac{1}{6} \\[8pt] &= \frac{1 + 1}{6} && \textcolor{#5b6660}{\textsf{add}} \\[8pt] &= \frac{2}{6} \\[8pt] &= \frac{2 \div 2}{6 \div 2} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt] &= \textcolor{#0b5c56}{\frac{1}{3}}\end{aligned}

The answer in other forms

Simplest form1/3
Decimal0.333… (the 3 repeats forever)
Percent≈ 33.33%
Same fractions1/6 × 1/6

1/6 plus other fractions

SumAnswer
1/6 + 1/22/3
1/6 + 1/31/2
1/6 + 2/35/6
1/6 + 1/45/12
1/6 + 3/411/12
1/6 + 1/511/30
1/6 + 2/517/30
1/6 + 3/523/30
1/6 + 4/529/30
1/6 + 1/61/3
1/6 + 5/61
1/6 + 1/87/24
1/6 + 3/813/24
1/6 + 5/819/24
1/6 + 7/825/24

Frequently asked questions

What is 1/6 + 1/6?

1/6 + 1/6 = 1/3 (0.3333 as a decimal).

How do you add 1/6 and 1/6?

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.