explain 6/7-8/17 — step-by-step solution

Let's evaluate:

\frac{6}{7} - \frac{8}{17}

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

\frac{6 \times 17 - 8 \times 7}{7 \times 17}

ⓘMultiplications are done before additions and subtractions:

6 \times 17

(10 + 7) \times 6

10 \times 6 + 7 \times 6

60 + 42

102

‖

7 \times 17

(10 + 7) \times 7

10 \times 7 + 7 \times 7

70 + 49

119

ℹ

-8 \times 7

-56

\frac{102 - 56}{119}

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

102 - 56

46

▶Result:

\frac{46}{119}

The numeric value of:

\frac{46}{119}

equals:

▷

\approx 0.3866