explain 11/19-7/13 — step-by-step solution

Let's calculate:

\frac{11}{19} - \frac{7}{13}

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

\frac{11 \times 13 - 7 \times 19}{19 \times 13}

ⓘMultiplications are done before additions and subtractions:

11 \times 13

13 \times (10 + 1)

13 \times 10 + 13

130 + 13

143

‖

-7 \times 19

(10 + 9) \times -7

10 \times -7 + 9 \times -7

- 70 - 63

-133

‖

19 \times 13

19 \times (10 + 3)

19 \times 10 + 19 \times 3

190 + 57

247

\frac{143 - 133}{247}

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

143 - 133

10

▶Result:

\frac{10}{247}

The approximate value of:

\frac{10}{247}

equals:

▷

\approx 4.0486 \times 10^{- 2}