7/8+1/17

Let's evaluate: $\frac{7}{8}+\frac{1}{17}$

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose $136$, the least common multiple of $8$ and $17$. Multiplying the numerator and the denominator by the same number does not change the fraction: $\frac{7}{8}+\frac{1}{17}$ = $\frac{7\times 17}{8\times 17}+\frac{1\times 8}{17\times 8}$ = $\frac{7\times 17+1\times 8}{8\times 17}$ = $\frac{7\times 17+8}{8\times 17}$

$\frac{7\times 17+8}{8\times 17}$

ⓘ Perform multiplications before additions and subtractions: $7\times 17$ = $7\times (10+7)$ = $7\times 10+7\times 7$ = $70+49$ = $119$

ⅰ $8\times 17$ = $8\times (10+7)$ = $8\times 10+8\times 7$ = $80+56$ = $136$

$\frac{119+8}{136}$

ⓘ The numerator and the denominator are computed before the division: $119+8$ = $127$

▶Result:   $\frac{127}{136}$

The numeric value of: $\frac{127}{136}$ equals:

▷ $\approx 0.9338$