explain 5/12-17/20 — step-by-step solution

Let's evaluate:

\frac{5}{12} - \frac{17}{20}

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

\frac{5 \times 5 - 17 \times 3}{12 \times 5}

ⓘMultiplications are done before additions and subtractions:

5 \times 5

25

‖

-17 \times 3

(- 10 - 7) \times 3

- 10 \times 3 - 7 \times 3

- 30 - 21

-51

‖

12 \times 5

(10 + 2) \times 5

10 \times 5 + 2 \times 5

50 + 10

60

\frac{25 - 51}{60}

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

25 - 51

-26

- \frac{26}{60}

ⓘWe simplify the fraction by dividing the numerator and the denominator by the number

2

- \frac{26}{60}

\frac{-13 \times 2}{30 \times 2}

- \frac{13}{30}

▶Result:

- \frac{13}{30}

The numeric value of:

- \frac{13}{30}

equals:

▷

\approx -0.4333