explain 4/19-13/18 — step-by-step solution

Let's calculate:

\frac{4}{19} - \frac{13}{18}

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

\frac{4 \times 18 - 13 \times 19}{19 \times 18}

ⓘMultiplications are done before additions and subtractions:

4 \times 18

(10 + 8) \times 4

10 \times 4 + 8 \times 4

40 + 32

72

‖

-13 \times 19

19 \times (- 10 - 3)

19 \times -10 + 19 \times -3

- 190 - 57

-247

‖

19 \times 18

19 \times (10 + 8)

19 \times 10 + 19 \times 8

190 + 152

342

\frac{72 - 247}{342}

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

72 - 247

-175

▶Result:

- \frac{175}{342}

The approximate value of:

- \frac{175}{342}

equals:

▷

\approx -0.5117