explain 7/13-19/20 — step-by-step solution

Let's evaluate:

\frac{7}{13} - \frac{19}{20}

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

\frac{7 \times 20 - 19 \times 13}{13 \times 20}

ⓘMultiplications are done before additions and subtractions:

7 \times 20

140

‖

-19 \times 13

-19 \times (10 + 3)

- 19 \times 10 - 19 \times 3

- 190 - 57

-247

‖

13 \times 20

20 \times (10 + 3)

20 \times 10 + 20 \times 3

200 + 60

260

\frac{140 - 247}{260}

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

140 - 247

-107

▶Result:

- \frac{107}{260}

The approximate value of:

- \frac{107}{260}

is:

▷

\approx -0.4115