explain 8/19-7/16 — step-by-step solution

Let's calculate:

\frac{8}{19} - \frac{7}{16}

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

\frac{8 \times 16 - 7 \times 19}{19 \times 16}

ⓘMultiplications are done before additions and subtractions:

8 \times 16

(10 + 6) \times 8

10 \times 8 + 6 \times 8

80 + 48

128

‖

-7 \times 19

(10 + 9) \times -7

10 \times -7 + 9 \times -7

- 70 - 63

-133

‖

19 \times 16

19 \times (10 + 6)

19 \times 10 + 19 \times 6

190 + 114

304

\frac{128 - 133}{304}

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

128 - 133

-5

▶Result:

- \frac{5}{304}

The numeric value of:

- \frac{5}{304}

equals:

▷

\approx -1.6447 \times 10^{- 2}