explain 4/11+2/7 — step-by-step solution

Let's evaluate:

\frac{4}{11} + \frac{2}{7}

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

\frac{4 \times 7 + 2 \times 11}{11 \times 7}

ⓘMultiplications are done before additions and subtractions:

4 \times 7

28

‖

2 \times 11

(10 + 1) \times 2

10 \times 2 + 2

20 + 2

22

‖

11 \times 7

(10 + 1) \times 7

10 \times 7 + 7

70 + 7

77

\frac{28 + 22}{77}

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

28 + 22

50

▶Result:

\frac{50}{77}

The numeric value of:

\frac{50}{77}

equals:

▷

\approx 0.6494