What Is 5/6 + 1/8?

Q: What is 5/6 + 1/8?

5/6 + 1/8 = 23/24 (0.9583 as a decimal).

5/6 + 1/8 = 23/24, about 0.958 as a decimal.

Result

Answer

\frac{5}{6} + \frac{1}{8} = \textcolor{#0b5c56}{\frac{23}{24}}

The sum is 23/24 in simplest form.

Decimal: \displaystyle 0.958\overline{3} (the 3 repeats forever, about 0.9583)
Percent: 95.83%

23 of 24 equal parts

Step-by-step solution

The problem

\frac{5}{6} + \frac{1}{8}

Write both fractions over 24. List multiples of each denominator until they meet:
Multiples of 6: 6, 12, 18, 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{5}{6} &= \frac{5 \times 4}{6 \times 4} = \frac{20}{24} \\[10pt] \frac{1}{8} &= \frac{1 \times 3}{8 \times 3} = \frac{3}{24} \end{aligned}
= \textcolor{#0b5c56}{\frac{20}{24}} + \textcolor{#0b5c56}{\frac{3}{24}}
Add the numerators. Keep the denominator 24.
= \frac{20 + 3}{24} = \textcolor{#0b5c56}{\frac{23}{24}}
Check that it can't be simplified. 23 and 24 have no common factor other than 1, so this is the simplest form.
\text{GCF}(23, 24) = 1

All the working together

\begin{aligned} &\frac{5}{6} + \frac{1}{8} \\[8pt]  &= \frac{5 \times 4}{6 \times 4} + \frac{1 \times 3}{8 \times 3} && \textcolor{#5b6660}{\textsf{LCD}} \\[8pt]  &= \frac{20}{24} + \frac{3}{24} \\[8pt]  &= \frac{20 + 3}{24} && \textcolor{#5b6660}{\textsf{add}} \\[8pt]  &= \textcolor{#0b5c56}{\frac{23}{24}}\end{aligned}

The answer in other forms

Simplest form	23/24
Decimal	0.958333… (the 3 repeats forever)
Percent	≈ 95.83%
Same fractions	5/6 − 1/8, 5/6 × 1/8, 5/6 ÷ 1/8

5/6 plus other fractions

Sum	Answer
5/6 + 1/2	4/3
5/6 + 1/3	7/6
5/6 + 2/3	3/2
5/6 + 1/4	13/12
5/6 + 3/4	19/12
5/6 + 1/5	31/30
5/6 + 2/5	37/30
5/6 + 3/5	43/30
5/6 + 4/5	49/30
5/6 + 1/6	1
5/6 + 5/6	5/3
5/6 + 1/8	23/24
5/6 + 3/8	29/24
5/6 + 5/8	35/24
5/6 + 7/8	41/24