What Is 2/3 + 1/8?

Q: What is 2/3 + 1/8?

2/3 + 1/8 = 19/24 (0.7917 as a decimal).

2/3 + 1/8 = 19/24, about 0.792 as a decimal.

Result

Answer

\frac{2}{3} + \frac{1}{8} = \textcolor{#0b5c56}{\frac{19}{24}}

The sum is 19/24 in simplest form.

Decimal: \displaystyle 0.791\overline{6} (the 6 repeats forever, about 0.7917)
Percent: 79.17%

19 of 24 equal parts

Step-by-step solution

The problem

\frac{2}{3} + \frac{1}{8}

Write both fractions over 24. List multiples of each denominator until they meet:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24
Multiples of 8: 8, 16, 24
The least common denominator is 24. Multiply the top and bottom of each fraction by the same number, so its value doesn't change.
\begin{aligned} \frac{2}{3} &= \frac{2 \times 8}{3 \times 8} = \frac{16}{24} \\[10pt] \frac{1}{8} &= \frac{1 \times 3}{8 \times 3} = \frac{3}{24} \end{aligned}
= \textcolor{#0b5c56}{\frac{16}{24}} + \textcolor{#0b5c56}{\frac{3}{24}}
Add the numerators. Keep the denominator 24.
= \frac{16 + 3}{24} = \textcolor{#0b5c56}{\frac{19}{24}}
Check that it can't be simplified. 19 and 24 have no common factor other than 1, so this is the simplest form.
\text{GCF}(19, 24) = 1

All the working together

\begin{aligned} &\frac{2}{3} + \frac{1}{8} \\[8pt]  &= \frac{2 \times 8}{3 \times 8} + \frac{1 \times 3}{8 \times 3} && \textcolor{#5b6660}{\textsf{LCD}} \\[8pt]  &= \frac{16}{24} + \frac{3}{24} \\[8pt]  &= \frac{16 + 3}{24} && \textcolor{#5b6660}{\textsf{add}} \\[8pt]  &= \textcolor{#0b5c56}{\frac{19}{24}}\end{aligned}

The answer in other forms

Simplest form	19/24
Decimal	0.791666… (the 6 repeats forever)
Percent	≈ 79.17%
Same fractions	2/3 − 1/8, 2/3 × 1/8, 2/3 ÷ 1/8

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