explain 11/14-5/6 — step-by-step solution

Let's calculate:

\frac{11}{14} - \frac{5}{6}

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

\frac{11 \times 3 - 5 \times 7}{14 \times 3}

ⓘMultiplications are done before additions and subtractions:

11 \times 3

(10 + 1) \times 3

10 \times 3 + 3

30 + 3

33

‖

14 \times 3

(10 + 4) \times 3

10 \times 3 + 4 \times 3

30 + 12

42

ℹ

-5 \times 7

-35

\frac{33 - 35}{42}

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

33 - 35

-2

- \frac{2}{42}

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

2

- \frac{2}{42}

\frac{-1 \times 2}{21 \times 2}

- \frac{1}{21}

▶Result:

- \frac{1}{21}

The numeric value of:

- \frac{1}{21}

equals:

▷

\approx -4.7619 \times 10^{- 2}