explain 3/19-3/4 — step-by-step solution

Let's evaluate:

\frac{3}{19} - \frac{3}{4}

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

\frac{3 \times 4 - 3 \times 19}{19 \times 4}

ⓘMultiplications are done before additions and subtractions:

3 \times 4

12

‖

-3 \times 19

(10 + 9) \times -3

10 \times -3 + 9 \times -3

- 30 - 27

-57

‖

19 \times 4

(10 + 9) \times 4

10 \times 4 + 9 \times 4

40 + 36

76

\frac{12 - 57}{76}

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

12 - 57

-45

▶Result:

- \frac{45}{76}

The approximate value of:

- \frac{45}{76}

equals:

▷

\approx -0.5921