What Is 7/8 + 7/8?

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

7/8 + 7/8 = 7/4 = 1 3/4 (1.75 as a decimal).

7/8 + 7/8 = 7/4, or 1 3/4 as a mixed number.

Result

Answer

\frac{7}{8} + \frac{7}{8} = \textcolor{#0b5c56}{\frac{7}{4} = 1\frac{3}{4}}

The sum is 7/4 in simplest form, or 1 3/4 as a mixed number.

Decimal: \displaystyle 1.75
Percent: 175%

1 whole + 3 of 4 equal parts

Step-by-step solution

The problem

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

Add the numerators. Keep the denominator 8.
= \frac{7 + 7}{8} = \textcolor{#0b5c56}{\frac{14}{8}}
Simplify. List the factors of each:
Factors of 14: 1, 2, 7, 14
Factors of 8: 1, 2, 4, 8
The greatest common factor (GCF) is 2. Divide the top and bottom by 2.
= \frac{14 \div 2}{8 \div 2} = \textcolor{#0b5c56}{\frac{7}{4}}
Write it as a mixed number. Divide: 4 goes into 7 1 time with 3 left over. The whole number is 1, the remainder 3 becomes the numerator, and the denominator stays 4.
7 \div 4 = 1\ \text{R}\ 3
= \textcolor{#0b5c56}{1\frac{3}{4}}

All the working together

\begin{aligned} &\frac{7}{8} + \frac{7}{8} \\[8pt]  &= \frac{7 + 7}{8} && \textcolor{#5b6660}{\textsf{add}} \\[8pt]  &= \frac{14}{8} \\[8pt]  &= \frac{14 \div 2}{8 \div 2} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt]  &= \frac{7}{4} \\[8pt]  &= \textcolor{#0b5c56}{1\frac{3}{4}} && \textcolor{#5b6660}{\textsf{mixed number}}\end{aligned}

The answer in other forms

Simplest form	7/4
Mixed number	1 3/4
Decimal	1.75
Percent	175%
Same fractions	7/8 × 7/8

7/8 plus other fractions

Sum	Answer
7/8 + 1/2	11/8
7/8 + 1/3	29/24
7/8 + 2/3	37/24
7/8 + 1/4	9/8
7/8 + 3/4	13/8
7/8 + 1/5	43/40
7/8 + 2/5	51/40
7/8 + 3/5	59/40
7/8 + 4/5	67/40
7/8 + 1/6	25/24
7/8 + 5/6	41/24
7/8 + 1/8	1
7/8 + 3/8	5/4
7/8 + 5/8	3/2
7/8 + 7/8	7/4