explain 3/13-12/17 — step-by-step solution

Let's calculate:

\frac{3}{13} - \frac{12}{17}

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

\frac{3 \times 17 - 12 \times 13}{13 \times 17}

ⓘMultiplications are done before additions and subtractions:

3 \times 17

(10 + 7) \times 3

10 \times 3 + 7 \times 3

30 + 21

51

‖

-12 \times 13

13 \times (- 10 - 2)

13 \times -10 + 13 \times -2

- 130 - 26

-156

‖

13 \times 17

17 \times (10 + 3)

17 \times 10 + 17 \times 3

170 + 51

221

\frac{51 - 156}{221}

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

51 - 156

-105

▶Result:

- \frac{105}{221}

The approximate value of:

- \frac{105}{221}

is:

▷

\approx -0.4751