explain 2/15-16/19 — step-by-step solution

Let's calculate:

\frac{2}{15} - \frac{16}{19}

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

\frac{2 \times 19 - 16 \times 15}{15 \times 19}

ⓘMultiplications are done before additions and subtractions:

2 \times 19

(10 + 9) \times 2

10 \times 2 + 9 \times 2

20 + 18

38

‖

-16 \times 15

-16 \times (10 + 5)

- 16 \times 10 - 16 \times 5

- 160 - 80

-240

‖

15 \times 19

19 \times (10 + 5)

19 \times 10 + 19 \times 5

190 + 95

285

\frac{38 - 240}{285}

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

38 - 240

-202

▶Result:

- \frac{202}{285}

The approximate value of:

- \frac{202}{285}

equals:

▷

\approx -0.7088