explain 2/5-11/18 — step-by-step solution

Let's evaluate:

\frac{2}{5} - \frac{11}{18}

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

\frac{2 \times 18 - 11 \times 5}{5 \times 18}

ⓘMultiplications are done before additions and subtractions:

2 \times 18

(10 + 8) \times 2

10 \times 2 + 8 \times 2

20 + 16

36

‖

-11 \times 5

(- 10 - 1) \times 5

- 10 \times 5 - 1 \times 5

- 50 - 5

-55

‖

5 \times 18

(10 + 8) \times 5

10 \times 5 + 8 \times 5

50 + 40

90

\frac{36 - 55}{90}

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

36 - 55

-19

▶Result:

- \frac{19}{90}

The numeric value of:

- \frac{19}{90}

equals:

▷

\approx -0.2111