6/7-8/17

Let's calculate: $\frac{6}{7}-\frac{8}{17}$

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose $119$, the least common multiple of $7$ and $17$. Multiplying the numerator and the denominator by the same number does not change the fraction: $\frac{6}{7}-\frac{8}{17}$ = $\frac{6\times 17}{7\times 17}-\frac{8\times 7}{17\times 7}$ = $\frac{6\times 17-8\times 7}{7\times 17}$

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

ⓘ Multiplications are done before additions and subtractions: $6\times 17$ = $6\times (10+7)$ = $6\times 10+6\times 7$ = $60+42$ = $102$, $8\times 7$ = $56$

ⅰ $7\times 17$ = $7\times (10+7)$ = $7\times 10+7\times 7$ = $70+49$ = $119$

$\frac{102-56}{119}$

ⓘ The numerator and the denominator are computed before the division: $102-56$ = $46$

▶Result:   $\frac{46}{119}$

The numeric value of: $\frac{46}{119}$ is:

▷ $\approx 0.3866$