explain 2/3+7/13 — step-by-step solution

Let's evaluate:

\frac{2}{3} + \frac{7}{13}

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

\frac{2 \times 13 + 7 \times 3}{3 \times 13}

ⓘMultiplications are done before additions and subtractions:

2 \times 13

(10 + 3) \times 2

10 \times 2 + 3 \times 2

20 + 6

26

‖

3 \times 13

(10 + 3) \times 3

10 \times 3 + 3 \times 3

30 + 9

39

ℹ

7 \times 3

21

\frac{26 + 21}{39}

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

26 + 21

47

▶Result:

\frac{47}{39}

The numeric value of:

\frac{47}{39}

is:

▷

\approx 1.2051