explain 8/15-6/11 — step-by-step solution

Let's evaluate:

\frac{8}{15} - \frac{6}{11}

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

\frac{8 \times 11 - 6 \times 15}{15 \times 11}

ⓘMultiplications are done before additions and subtractions:

8 \times 11

(10 + 1) \times 8

10 \times 8 + 8

80 + 8

88

‖

-6 \times 15

(10 + 5) \times -6

10 \times -6 + 5 \times -6

- 60 - 30

-90

‖

15 \times 11

15 \times (10 + 1)

15 \times 10 + 15

150 + 15

165

\frac{88 - 90}{165}

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

88 - 90

-2

▶Result:

- \frac{2}{165}

The numeric value of:

- \frac{2}{165}

equals:

▷

\approx -1.2121 \times 10^{- 2}