What Is 1/2 + 1/8?

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

1/2 + 1/8 = 5/8 (0.625 as a decimal).

1/2 + 1/8 = 5/8, which is 0.625 as a decimal.

Result

Answer

\frac{1}{2} + \frac{1}{8} = \textcolor{#0b5c56}{\frac{5}{8}}

The sum is 5/8 in simplest form.

Decimal: \displaystyle 0.625
Percent: 62.5%

5 of 8 equal parts

Step-by-step solution

The problem

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

Write both fractions over 8. 8 is a multiple of 2:
2 × 4 = 8
So 8 is the least common denominator. Multiply the top and bottom of each fraction by the same number, so its value doesn't change.
\frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8}
= \textcolor{#0b5c56}{\frac{4}{8}} + \frac{1}{8}
Add the numerators. Keep the denominator 8.
= \frac{4 + 1}{8} = \textcolor{#0b5c56}{\frac{5}{8}}
Check that it can't be simplified. 5 and 8 have no common factor other than 1, so this is the simplest form.
\text{GCF}(5, 8) = 1

All the working together

\begin{aligned} &\frac{1}{2} + \frac{1}{8} \\[8pt]  &= \frac{1 \times 4}{2 \times 4} + \frac{1}{8} && \textcolor{#5b6660}{\textsf{LCD}} \\[8pt]  &= \frac{4}{8} + \frac{1}{8} \\[8pt]  &= \frac{4 + 1}{8} && \textcolor{#5b6660}{\textsf{add}} \\[8pt]  &= \textcolor{#0b5c56}{\frac{5}{8}}\end{aligned}

The answer in other forms

Simplest form	5/8
Decimal	0.625
Percent	62.5%
Same fractions	1/2 − 1/8, 1/2 × 1/8, 1/2 ÷ 1/8

1/2 plus other fractions

Sum	Answer
1/2 + 1/2	1
1/2 + 1/3	5/6
1/2 + 2/3	7/6
1/2 + 1/4	3/4
1/2 + 3/4	5/4
1/2 + 1/5	7/10
1/2 + 2/5	9/10
1/2 + 3/5	11/10
1/2 + 4/5	13/10
1/2 + 1/6	2/3
1/2 + 5/6	4/3
1/2 + 1/8	5/8
1/2 + 3/8	7/8
1/2 + 5/8	9/8
1/2 + 7/8	11/8