What Is 4/5 + 1/8?

Q: What is 4/5 + 1/8?

4/5 + 1/8 = 37/40 (0.925 as a decimal).

4/5 + 1/8 = 37/40, which is 0.925 as a decimal.

Result

Answer

\frac{4}{5} + \frac{1}{8} = \textcolor{#0b5c56}{\frac{37}{40}}

The sum is 37/40 in simplest form.

Decimal: \displaystyle 0.925
Percent: 92.5%

37 of 40 equal parts

Step-by-step solution

The problem

\frac{4}{5} + \frac{1}{8}

Write both fractions over 40. List multiples of each denominator until they meet:
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40
Multiples of 8: 8, 16, 24, 32, 40
The least common denominator is 40. Multiply the top and bottom of each fraction by the same number, so its value doesn't change.
\begin{aligned} \frac{4}{5} &= \frac{4 \times 8}{5 \times 8} = \frac{32}{40} \\[10pt] \frac{1}{8} &= \frac{1 \times 5}{8 \times 5} = \frac{5}{40} \end{aligned}
= \textcolor{#0b5c56}{\frac{32}{40}} + \textcolor{#0b5c56}{\frac{5}{40}}
Add the numerators. Keep the denominator 40.
= \frac{32 + 5}{40} = \textcolor{#0b5c56}{\frac{37}{40}}
Check that it can't be simplified. 37 and 40 have no common factor other than 1, so this is the simplest form.
\text{GCF}(37, 40) = 1

All the working together

\begin{aligned} &\frac{4}{5} + \frac{1}{8} \\[8pt]  &= \frac{4 \times 8}{5 \times 8} + \frac{1 \times 5}{8 \times 5} && \textcolor{#5b6660}{\textsf{LCD}} \\[8pt]  &= \frac{32}{40} + \frac{5}{40} \\[8pt]  &= \frac{32 + 5}{40} && \textcolor{#5b6660}{\textsf{add}} \\[8pt]  &= \textcolor{#0b5c56}{\frac{37}{40}}\end{aligned}

The answer in other forms

Simplest form	37/40
Decimal	0.925
Percent	92.5%
Same fractions	4/5 − 1/8, 4/5 × 1/8, 4/5 ÷ 1/8

4/5 plus other fractions

Sum	Answer
4/5 + 1/2	13/10
4/5 + 1/3	17/15
4/5 + 2/3	22/15
4/5 + 1/4	21/20
4/5 + 3/4	31/20
4/5 + 1/5	1
4/5 + 2/5	6/5
4/5 + 3/5	7/5
4/5 + 4/5	8/5
4/5 + 1/6	29/30
4/5 + 5/6	49/30
4/5 + 1/8	37/40
4/5 + 3/8	47/40
4/5 + 5/8	57/40
4/5 + 7/8	67/40