simplify -1/3-(-3/5) — step-by-step solution

Let's simplify:

- \frac{1}{3} - (\frac{-3}{5})

ⓘ Two minus signs cancel out:

- (\frac{-3}{5})

\frac{3}{5}

- \frac{1}{3} + \frac{3}{5}

ⓘ To add fractions, put them over the same denominator, then add the numerators. We choose

15

, the least common multiple of

3

and

5

. Multiplying the numerator and the denominator by the same number does not change the fraction:

- \frac{1}{3} + \frac{3}{5}

\frac{-1 \times 5}{3 \times 5} + \frac{3 \times 3}{5 \times 3}

\frac{- 1 \times 5 + 3 \times 3}{3 \times 5}

\frac{- 1 \times 5 + 3 \times 3}{3 \times 5}

ⓘ Multiplications are done before additions and subtractions:

1 \times 5

5

3 \times 3

9

ⅰ

3 \times 5

15

\frac{- 5 + 9}{15}

ⓘ The numerator and the denominator are computed before the division:

- 5 + 9

4

▶Simplified form:

\frac{4}{15}

The numeric value of:

\frac{4}{15}

is:

▷

\approx 0.2667