explain 3/14+8/13 — step-by-step solution

Let's calculate:

\frac{3}{14} + \frac{8}{13}

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

\frac{3 \times 13 + 8 \times 14}{14 \times 13}

ⓘMultiplications are done before additions and subtractions:

3 \times 13

(10 + 3) \times 3

10 \times 3 + 3 \times 3

30 + 9

39

‖

8 \times 14

(10 + 4) \times 8

10 \times 8 + 4 \times 8

80 + 32

112

‖

14 \times 13

14 \times (10 + 3)

14 \times 10 + 14 \times 3

140 + 42

182

\frac{39 + 112}{182}

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

39 + 112

151

▶Result:

\frac{151}{182}

The numeric value of:

\frac{151}{182}

equals:

▷

\approx 0.8297