x+1/3 =-2/5 — step-by-step solution

Let's solve in

ℝ

x + \frac{1}{3} = - \frac{2}{5}

ⓘ We subtract

\frac{1}{3}

from both sides

x = - \frac{2}{5} - \frac{1}{3}

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

15

, the least common multiple of

5

and

3

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

- \frac{2}{5} - \frac{1}{3}

\frac{-2 \cdot 3}{5 \cdot 3} + \frac{-1 \cdot 5}{3 \cdot 5}

\frac{- 2 \cdot 3 - 1 \cdot 5}{5 \cdot 3}

x = \frac{- 2 \cdot 3 - 1 \cdot 5}{5 \cdot 3}

ⓘ Multiplications are done before additions and subtractions:

2 \cdot 3

6

1 \cdot 5

5

ⅰ

5 \cdot 3

15

x = \frac{- 6 - 5}{15}

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

- 6 - 5

-11

▶Solution found:

x = - \frac{11}{15}

The numeric value of:

x = - \frac{11}{15}

is:

▷

x = \approx -0.7333