15 7/9 + 16 5/9 + 4 3/20

⚠ 15 7/9 is read as the mixed number 15 + 7/9■16 5/9 is read as the mixed number 16 + 5/9■4 3/20 is read as the mixed number 4 + 3/20

Let's evaluate:

15

+ \frac{7}{9}

+ 16

+ \frac{5}{9}

+ 4

+ \frac{3}{20}

ⓘ Start from

15

and move forward

16

on the number line:

15 + 16

31

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

\frac{7}{9} + \frac{5}{9}

\frac{7 + 5}{9}

31

+ \frac{7 + 5}{9}

+ 4

+ \frac{3}{20}

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

7 + 5

12

31

+ \frac{12}{9}

+ 4

+ \frac{3}{20}

ⓘ Start from

31

and move forward

4

on the number line:

31 + 4

35

■We simplify the fraction by dividing the numerator and the denominator by

3

, their greatest common divisor:

\frac{12}{9}

\frac{4 \times 3}{3 \times 3}

\frac{4}{3}

35 + \frac{4}{3} + \frac{3}{20}

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

60

, the least common multiple of

3

and

20

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

\frac{4}{3} + \frac{3}{20}

\frac{4 \times 20}{3 \times 20} + \frac{3 \times 3}{20 \times 3}

\frac{4 \times 20 + 3 \times 3}{3 \times 20}

35 + \frac{4 \times 20 + 3 \times 3}{3 \times 20}

ⓘ Perform multiplications before additions and subtractions:

4 \times 20

80

3 \times 3

9

ⅰ

3 \times 20

60

35 + \frac{80 + 9}{60}

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

80 + 9

89

35 + \frac{89}{60}

▶Result:

36

\frac{29}{60}

ⓘ The fraction

\frac{89}{60}

is greater than 1: extract

1

from it and add it to the whole part:

35 + \frac{89}{60}

35 + \frac{60 + 29}{60}

35 + \frac{60}{60} + \frac{29}{60}

35 + 1 + \frac{29}{60}

36 + \frac{29}{60}

The numeric value of:

36 + \frac{29}{60}

is:

36 + \approx 0.4833

▷

\approx 36.4833

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