What Is 3/5 + 4/5?

Q: What is 3/5 + 4/5?

3/5 + 4/5 = 7/5 = 1 2/5 (1.4 as a decimal).

3/5 + 4/5 = 7/5, or 1 2/5 as a mixed number.

Result

Answer

\frac{3}{5} + \frac{4}{5} = \textcolor{#0b5c56}{\frac{7}{5} = 1\frac{2}{5}}

The sum is 7/5 in simplest form, or 1 2/5 as a mixed number.

Decimal: \displaystyle 1.4
Percent: 140%

1 whole + 2 of 5 equal parts

Step-by-step solution

The problem

\frac{3}{5} + \frac{4}{5}

Add the numerators. Keep the denominator 5.
= \frac{3 + 4}{5} = \textcolor{#0b5c56}{\frac{7}{5}}
Check that it can't be simplified. 7 and 5 have no common factor other than 1, so this is the simplest form.
\text{GCF}(7, 5) = 1
Write it as a mixed number. Divide: 5 goes into 7 1 time with 2 left over. The whole number is 1, the remainder 2 becomes the numerator, and the denominator stays 5.
7 \div 5 = 1\ \text{R}\ 2
= \textcolor{#0b5c56}{1\frac{2}{5}}

All the working together

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

The answer in other forms

Simplest form	7/5
Mixed number	1 2/5
Decimal	1.4
Percent	140%
Same fractions	4/5 − 3/5, 3/5 × 4/5, 3/5 ÷ 4/5

3/5 plus other fractions

Sum	Answer
3/5 + 1/2	11/10
3/5 + 1/3	14/15
3/5 + 2/3	19/15
3/5 + 1/4	17/20
3/5 + 3/4	27/20
3/5 + 1/5	4/5
3/5 + 2/5	1
3/5 + 3/5	6/5
3/5 + 4/5	7/5
3/5 + 1/6	23/30
3/5 + 5/6	43/30
3/5 + 1/8	29/40
3/5 + 3/8	39/40
3/5 + 5/8	49/40
3/5 + 7/8	59/40