What Is 1/4 + 1/8?

Q: What is 1/4 + 1/8?

1/4 + 1/8 = 3/8 (0.375 as a decimal).

1/4 + 1/8 = 3/8, which is 0.375 as a decimal.

Result

Answer

\frac{1}{4} + \frac{1}{8} = \textcolor{#0b5c56}{\frac{3}{8}}

The sum is 3/8 in simplest form.

Decimal: \displaystyle 0.375
Percent: 37.5%

3 of 8 equal parts

Step-by-step solution

The problem

\frac{1}{4} + \frac{1}{8}

Write both fractions over 8. 8 is a multiple of 4:
4 × 2 = 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}{4} = \frac{1 \times 2}{4 \times 2} = \frac{2}{8}
= \textcolor{#0b5c56}{\frac{2}{8}} + \frac{1}{8}
Add the numerators. Keep the denominator 8.
= \frac{2 + 1}{8} = \textcolor{#0b5c56}{\frac{3}{8}}
Check that it can't be simplified. 3 and 8 have no common factor other than 1, so this is the simplest form.
\text{GCF}(3, 8) = 1

All the working together

\begin{aligned} &\frac{1}{4} + \frac{1}{8} \\[8pt]  &= \frac{1 \times 2}{4 \times 2} + \frac{1}{8} && \textcolor{#5b6660}{\textsf{LCD}} \\[8pt]  &= \frac{2}{8} + \frac{1}{8} \\[8pt]  &= \frac{2 + 1}{8} && \textcolor{#5b6660}{\textsf{add}} \\[8pt]  &= \textcolor{#0b5c56}{\frac{3}{8}}\end{aligned}

The answer in other forms

Simplest form	3/8
Decimal	0.375
Percent	37.5%
Same fractions	1/4 − 1/8, 1/4 × 1/8, 1/4 ÷ 1/8

1/4 plus other fractions

Sum	Answer
1/4 + 1/2	3/4
1/4 + 1/3	7/12
1/4 + 2/3	11/12
1/4 + 1/4	1/2
1/4 + 3/4	1
1/4 + 1/5	9/20
1/4 + 2/5	13/20
1/4 + 3/5	17/20
1/4 + 4/5	21/20
1/4 + 1/6	5/12
1/4 + 5/6	13/12
1/4 + 1/8	3/8
1/4 + 3/8	5/8
1/4 + 5/8	7/8
1/4 + 7/8	9/8