explain 5/16-16/17 — step-by-step solution

Let's evaluate:

\frac{5}{16} - \frac{16}{17}

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

\frac{5 \times 17 - 16 \times 16}{16 \times 17}

ⓘMultiplications are done before additions and subtractions:

5 \times 17

(10 + 7) \times 5

10 \times 5 + 7 \times 5

50 + 35

85

‖

-16 \times 16

-16 \times (10 + 6)

- 16 \times 10 - 16 \times 6

- 160 - 96

-256

‖

16 \times 17

17 \times (10 + 6)

17 \times 10 + 17 \times 6

170 + 102

272

\frac{85 - 256}{272}

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

85 - 256

-171

▶Result:

- \frac{171}{272}

The approximate value of:

- \frac{171}{272}

is:

▷

\approx -0.6287