explain 9/20-12/17 — step-by-step solution

Let's calculate:

\frac{9}{20} - \frac{12}{17}

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

\frac{9 \times 17 - 12 \times 20}{20 \times 17}

ⓘMultiplications are done before additions and subtractions:

9 \times 17

(10 + 7) \times 9

10 \times 9 + 7 \times 9

90 + 63

153

‖

-12 \times 20

20 \times (- 10 - 2)

20 \times -10 + 20 \times -2

- 200 - 40

-240

‖

20 \times 17

20 \times (10 + 7)

20 \times 10 + 20 \times 7

200 + 140

340

\frac{153 - 240}{340}

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

153 - 240

-87

▶Result:

- \frac{87}{340}

The numeric value of:

- \frac{87}{340}

equals:

▷

\approx -0.2559