explain 4/15-13/20 — step-by-step solution

Let's calculate:

\frac{4}{15} - \frac{13}{20}

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

\frac{4 \times 4 - 13 \times 3}{15 \times 4}

ⓘMultiplications are done before additions and subtractions:

4 \times 4

16

‖

-13 \times 3

(- 10 - 3) \times 3

- 10 \times 3 - 3 \times 3

- 30 - 9

-39

‖

15 \times 4

(10 + 5) \times 4

10 \times 4 + 5 \times 4

40 + 20

60

\frac{16 - 39}{60}

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

16 - 39

-23

▶Result:

- \frac{23}{60}

The numeric value of:

- \frac{23}{60}

equals:

▷

\approx -0.3833