explain 6/13+13/16 — step-by-step solution

Let's calculate:

\frac{6}{13} + \frac{13}{16}

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

\frac{6 \times 16 + 13 \times 13}{13 \times 16}

ⓘMultiplications are done before additions and subtractions:

6 \times 16

(10 + 6) \times 6

10 \times 6 + 6 \times 6

60 + 36

96

‖

13 \times 13

13 \times (10 + 3)

13 \times 10 + 13 \times 3

130 + 39

169

‖

13 \times 16

16 \times (10 + 3)

16 \times 10 + 16 \times 3

160 + 48

208

\frac{96 + 169}{208}

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

96 + 169

265

▶Result:

\frac{265}{208}

The approximate value of:

\frac{265}{208}

equals:

▷

\approx 1.2740