explain 8/19-3/17 — step-by-step solution

Let's calculate:

\frac{8}{19} - \frac{3}{17}

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

\frac{8 \times 17 - 3 \times 19}{19 \times 17}

ⓘMultiplications are done before additions and subtractions:

8 \times 17

(10 + 7) \times 8

10 \times 8 + 7 \times 8

80 + 56

136

‖

-3 \times 19

(10 + 9) \times -3

10 \times -3 + 9 \times -3

- 30 - 27

-57

‖

19 \times 17

19 \times (10 + 7)

19 \times 10 + 19 \times 7

190 + 133

323

\frac{136 - 57}{323}

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

136 - 57

79

▶Result:

\frac{79}{323}

The numeric value of:

\frac{79}{323}

is:

▷

\approx 0.2446