explain 18/19-12/13 — step-by-step solution

Let's calculate:

\frac{18}{19} - \frac{12}{13}

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

\frac{18 \times 13 - 12 \times 19}{19 \times 13}

ⓘMultiplications are done before additions and subtractions:

18 \times 13

18 \times (10 + 3)

18 \times 10 + 18 \times 3

180 + 54

234

‖

-12 \times 19

19 \times (- 10 - 2)

19 \times -10 + 19 \times -2

- 190 - 38

-228

‖

19 \times 13

19 \times (10 + 3)

19 \times 10 + 19 \times 3

190 + 57

247

\frac{234 - 228}{247}

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

234 - 228

6

▶Result:

\frac{6}{247}

The approximate value of:

\frac{6}{247}

equals:

▷

\approx 2.4291 \times 10^{- 2}