21 3/20 + 14 7/12

⚠ 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 calculate:

21

+ \frac{3}{20}

+ 14

+ \frac{7}{12}

ⓘ Start from

21

and move forward

14

on the number line:

21 + 14

35

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

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose

60

, the least common multiple of

20

and

12

. Multiplying the numerator and the denominator by the same number does not change the fraction:

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

\frac{3 \times 3}{20 \times 3} + \frac{7 \times 5}{12 \times 5}

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

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

ⓘ Perform multiplications before additions and subtractions:

3 \times 3

9

7 \times 5

35

ⅰ

20 \times 3

60

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

ⓘ Calculate the numerator and denominator before dividing:

9 + 35

44

35 + \frac{44}{60}

ⓘ Simplify the fraction by dividing the numerator and the denominator by

4

, their greatest common divisor:

\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}

equals:

35 + \approx 0.7333

▷

\approx 35.7333

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