14 3/4 + 21 2/9

⚠ 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}

ⓘ Start from

14

and move forward

21

on the number line:

14 + 21

35

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

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

36

, the least common multiple of

4

and

9

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

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

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

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

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

ⓘ Perform multiplications before additions and subtractions:

3 \times 9

27

2 \times 4

8

ⅰ

4 \times 9

36

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

ⓘ Calculate the numerator and denominator before dividing:

27 + 8

35

35 + \frac{35}{36}

▶Result:

35

\frac{35}{36}

The numeric value of:

35 + \frac{35}{36}

equals:

35 + \approx 0.9722

▷

\approx 35.9722

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