What Is 5/8 + 7/8?

Q: What is 5/8 + 7/8?

5/8 + 7/8 = 3/2 = 1 1/2 (1.5 as a decimal).

5/8 + 7/8 = 3/2, or 1 1/2 as a mixed number.

Result

Answer

\frac{5}{8} + \frac{7}{8} = \textcolor{#0b5c56}{\frac{3}{2} = 1\frac{1}{2}}

The sum is 3/2 in simplest form, or 1 1/2 as a mixed number.

Decimal: \displaystyle 1.5
Percent: 150%

1 whole + 1 of 2 equal parts

Step-by-step solution

The problem

\frac{5}{8} + \frac{7}{8}

Add the numerators. Keep the denominator 8.
= \frac{5 + 7}{8} = \textcolor{#0b5c56}{\frac{12}{8}}
Simplify. List the factors of each:
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 8: 1, 2, 4, 8
The greatest common factor (GCF) is 4. Divide the top and bottom by 4.
= \frac{12 \div 4}{8 \div 4} = \textcolor{#0b5c56}{\frac{3}{2}}
Write it as a mixed number. Divide: 2 goes into 3 1 time with 1 left over. The whole number is 1, the remainder 1 becomes the numerator, and the denominator stays 2.
3 \div 2 = 1\ \text{R}\ 1
= \textcolor{#0b5c56}{1\frac{1}{2}}

All the working together

\begin{aligned} &\frac{5}{8} + \frac{7}{8} \\[8pt]  &= \frac{5 + 7}{8} && \textcolor{#5b6660}{\textsf{add}} \\[8pt]  &= \frac{12}{8} \\[8pt]  &= \frac{12 \div 4}{8 \div 4} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt]  &= \frac{3}{2} \\[8pt]  &= \textcolor{#0b5c56}{1\frac{1}{2}} && \textcolor{#5b6660}{\textsf{mixed number}}\end{aligned}

The answer in other forms

Simplest form	3/2
Mixed number	1 1/2
Decimal	1.5
Percent	150%
Same fractions	7/8 − 5/8, 5/8 × 7/8, 5/8 ÷ 7/8

5/8 plus other fractions

Sum	Answer
5/8 + 1/2	9/8
5/8 + 1/3	23/24
5/8 + 2/3	31/24
5/8 + 1/4	7/8
5/8 + 3/4	11/8
5/8 + 1/5	33/40
5/8 + 2/5	41/40
5/8 + 3/5	49/40
5/8 + 4/5	57/40
5/8 + 1/6	19/24
5/8 + 5/6	35/24
5/8 + 1/8	3/4
5/8 + 3/8	1
5/8 + 5/8	5/4
5/8 + 7/8	3/2