explain 4/13+7/20 — step-by-step solution

Let's evaluate:

\frac{4}{13} + \frac{7}{20}

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

\frac{4 \times 20 + 7 \times 13}{13 \times 20}

ⓘMultiplications are done before additions and subtractions:

4 \times 20

80

‖

7 \times 13

(10 + 3) \times 7

10 \times 7 + 3 \times 7

70 + 21

91

‖

13 \times 20

20 \times (10 + 3)

20 \times 10 + 20 \times 3

200 + 60

260

\frac{80 + 91}{260}

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

80 + 91

171

▶Result:

\frac{171}{260}

The numeric value of:

\frac{171}{260}

equals:

▷

\approx 0.6577