explain 5/16+4/7 — step-by-step solution

Let's calculate:

\frac{5}{16} + \frac{4}{7}

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

\frac{5 \times 7 + 4 \times 16}{16 \times 7}

ⓘMultiplications are done before additions and subtractions:

5 \times 7

35

‖

4 \times 16

(10 + 6) \times 4

10 \times 4 + 6 \times 4

40 + 24

64

‖

16 \times 7

(10 + 6) \times 7

10 \times 7 + 6 \times 7

70 + 42

112

\frac{35 + 64}{112}

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

35 + 64

99

▶Result:

\frac{99}{112}

The numeric value of:

\frac{99}{112}

equals:

▷

\approx 0.8839