explain 7/12-16/17 — step-by-step solution

Let's evaluate:

\frac{7}{12} - \frac{16}{17}

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

\frac{7 \times 17 - 16 \times 12}{12 \times 17}

ⓘMultiplications are done before additions and subtractions:

7 \times 17

(10 + 7) \times 7

10 \times 7 + 7 \times 7

70 + 49

119

‖

-16 \times 12

-16 \times (10 + 2)

- 16 \times 10 - 16 \times 2

- 160 - 32

-192

‖

12 \times 17

17 \times (10 + 2)

17 \times 10 + 17 \times 2

170 + 34

204

\frac{119 - 192}{204}

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

119 - 192

-73

▶Result:

- \frac{73}{204}

The numeric value of:

- \frac{73}{204}

is:

▷

\approx -0.3578