explain 1/19-7/20 — step-by-step solution

Let's calculate:

\frac{1}{19} - \frac{7}{20}

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

\frac{1 \times 20 - 7 \times 19}{19 \times 20}

ⓘMultiplications are done before additions and subtractions:

-7 \times 19

(10 + 9) \times -7

10 \times -7 + 9 \times -7

- 70 - 63

-133

‖

19 \times 20

20 \times (10 + 9)

20 \times 10 + 20 \times 9

200 + 180

380

ℹ

1 \times 20

20

\frac{20 - 133}{380}

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

20 - 133

-113

▶Result:

- \frac{113}{380}

The approximate value of:

- \frac{113}{380}

is:

▷

\approx -0.2974