explain 5/14+5/17 — step-by-step solution

Let's calculate:

\frac{5}{14} + \frac{5}{17}

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

\frac{5 \times 17 + 5 \times 14}{14 \times 17}

ⓘMultiplications are done before additions and subtractions:

5 \times 17

(10 + 7) \times 5

10 \times 5 + 7 \times 5

50 + 35

85

‖

5 \times 14

(10 + 4) \times 5

10 \times 5 + 4 \times 5

50 + 20

70

‖

14 \times 17

17 \times (10 + 4)

17 \times 10 + 17 \times 4

170 + 68

238

\frac{85 + 70}{238}

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

85 + 70

155

▶Result:

\frac{155}{238}

The numeric value of:

\frac{155}{238}

is:

▷

\approx 0.6513