explain 10/13+4/15 — step-by-step solution

Let's calculate:

\frac{10}{13} + \frac{4}{15}

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

\frac{10 \times 15 + 4 \times 13}{13 \times 15}

ⓘMultiplications are done before additions and subtractions:

10 \times 15

(10 + 5) \times 10

10 \times 10 + 5 \times 10

100 + 50

150

‖

4 \times 13

(10 + 3) \times 4

10 \times 4 + 3 \times 4

40 + 12

52

‖

13 \times 15

15 \times (10 + 3)

15 \times 10 + 15 \times 3

150 + 45

195

\frac{150 + 52}{195}

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

150 + 52

202

▶Result:

\frac{202}{195}

The numeric value of:

\frac{202}{195}

equals:

▷

\approx 1.0359