explain 14 3/4 + 21 2/9 — step-by-step solution

⚠ 14 3/4 is read as the mixed number 14 + 3/4

⚠ 21 2/9 is read as the mixed number 21 + 2/9

Let's evaluate:

14

+ \frac{3}{4}

+ 21

+ \frac{2}{9}

ℹ

14 + 21

35

35 + \frac{3}{4} + \frac{2}{9}

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

\frac{3}{4} + \frac{2}{9}

\frac{3 \times 9 + 2 \times 4}{4 \times 9}

35 + \frac{3 \times 9 + 2 \times 4}{4 \times 9}

ⓘMultiplications are done before additions and subtractions:

3 \times 9

27

ℹ

2 \times 4

8

‖

4 \times 9

36

35 + \frac{27 + 8}{36}

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

27 + 8

35

35 + \frac{35}{36}

▶Result:

35

\frac{35}{36}

The approximate value of:

35 + \frac{35}{36}

equals:

35 + \approx 0.9722

▷

\approx 35.9722