explain 11/14-2/19 — step-by-step solution

Let's evaluate:

\frac{11}{14} - \frac{2}{19}

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

\frac{11 \times 19 - 2 \times 14}{14 \times 19}

ⓘMultiplications are done before additions and subtractions:

11 \times 19

19 \times (10 + 1)

19 \times 10 + 19

190 + 19

209

‖

-2 \times 14

(10 + 4) \times -2

10 \times -2 + 4 \times -2

- 20 - 8

-28

‖

14 \times 19

19 \times (10 + 4)

19 \times 10 + 19 \times 4

190 + 76

266

\frac{209 - 28}{266}

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

209 - 28

181

▶Result:

\frac{181}{266}

The approximate value of:

\frac{181}{266}

equals:

▷

\approx 0.6805