explain 3/16-13/15 — step-by-step solution

Let's evaluate:

\frac{3}{16} - \frac{13}{15}

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

\frac{3 \times 15 - 13 \times 16}{16 \times 15}

ⓘMultiplications are done before additions and subtractions:

3 \times 15

(10 + 5) \times 3

10 \times 3 + 5 \times 3

30 + 15

45

‖

-13 \times 16

16 \times (- 10 - 3)

16 \times -10 + 16 \times -3

- 160 - 48

-208

‖

16 \times 15

16 \times (10 + 5)

16 \times 10 + 16 \times 5

160 + 80

240

\frac{45 - 208}{240}

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

45 - 208

-163

▶Result:

- \frac{163}{240}

The numeric value of:

- \frac{163}{240}

equals:

▷

\approx -0.6792