explain 2/17-12/13 — step-by-step solution

Let's evaluate:

\frac{2}{17} - \frac{12}{13}

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

\frac{2 \times 13 - 12 \times 17}{17 \times 13}

ⓘMultiplications are done before additions and subtractions:

2 \times 13

(10 + 3) \times 2

10 \times 2 + 3 \times 2

20 + 6

26

‖

-12 \times 17

17 \times (- 10 - 2)

17 \times -10 + 17 \times -2

- 170 - 34

-204

‖

17 \times 13

17 \times (10 + 3)

17 \times 10 + 17 \times 3

170 + 51

221

\frac{26 - 204}{221}

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

26 - 204

-178

▶Result:

- \frac{178}{221}

The numeric value of:

- \frac{178}{221}

is:

▷

\approx -0.8054