explain 13/18-14/15 — step-by-step solution

Let's evaluate:

\frac{13}{18} - \frac{14}{15}

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

\frac{13 \times 5 - 14 \times 6}{18 \times 5}

ⓘMultiplications are done before additions and subtractions:

13 \times 5

(10 + 3) \times 5

10 \times 5 + 3 \times 5

50 + 15

65

‖

-14 \times 6

(- 10 - 4) \times 6

- 10 \times 6 - 4 \times 6

- 60 - 24

-84

‖

18 \times 5

(10 + 8) \times 5

10 \times 5 + 8 \times 5

50 + 40

90

\frac{65 - 84}{90}

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

65 - 84

-19

▶Result:

- \frac{19}{90}

The approximate value of:

- \frac{19}{90}

is:

▷

\approx -0.2111