explain 21 3/20 + 14 7/12 — step-by-step solution

⚠ 21 3/20 is read as the mixed number 21 + 3/20

⚠ 14 7/12 is read as the mixed number 14 + 7/12

Let's evaluate:

21

+ \frac{3}{20}

+ 14

+ \frac{7}{12}

ℹ

21 + 14

35

35 + \frac{3}{20} + \frac{7}{12}

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

\frac{3}{20} + \frac{7}{12}

\frac{3 \times 3 + 7 \times 5}{20 \times 3}

35 + \frac{3 \times 3 + 7 \times 5}{20 \times 3}

ⓘMultiplications are done before additions and subtractions:

3 \times 3

9

ℹ

7 \times 5

35

‖

20 \times 3

60

35 + \frac{9 + 35}{60}

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

9 + 35

44

35 + \frac{44}{60}

ⓘWe simplify the fraction by dividing the numerator and the denominator by the number

4

\frac{44}{60}

\frac{11 \times 4}{15 \times 4}

\frac{11}{15}

35 + \frac{11}{15}

▶Result:

35

\frac{11}{15}

The numeric value of:

35 + \frac{11}{15}

is:

35 + \approx 0.7333

▷

\approx 35.7333