20 7/10 + 3 9/20 + 16 13/15

⚠ 20 7/10 is read as the mixed number 20 + 7/10■3 9/20 is read as the mixed number 3 + 9/20■16 13/15 is read as the mixed number 16 + 13/15

Let's calculate:

20

+ \frac{7}{10}

+ 3

+ \frac{9}{20}

+ 16

+ \frac{13}{15}

ⓘ Start from

20

and move forward

3

on the number line:

20 + 3

23

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

\frac{7}{10} + \frac{9}{20}

\frac{2 \times 7 + 9}{20}

23

+ \frac{2 \times 7 + 9}{20}

+ 16

+ \frac{13}{15}

ⓘ Multiplications are done before additions and subtractions:

2 \times 7

14

■Start from

23

and move forward

16

on the number line:

23 + 16

39

39 + \frac{14 + 9}{20} + \frac{13}{15}

ⓘ Calculate the numerator and denominator before dividing:

14 + 9

23

39 + \frac{23}{20} + \frac{13}{15}

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

60

, the least common multiple of

20

and

15

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

\frac{23}{20} + \frac{13}{15}

\frac{23 \times 3}{20 \times 3} + \frac{13 \times 4}{15 \times 4}

\frac{23 \times 3 + 13 \times 4}{20 \times 3}

39 + \frac{23 \times 3 + 13 \times 4}{20 \times 3}

ⓘ Multiplications are done before additions and subtractions:

23 \times 3

(20 + 3) \times 3

20 \times 3 + 3 \times 3

60 + 9

69

13 \times 4

(10 + 3) \times 4

10 \times 4 + 3 \times 4

40 + 12

52

ⅰ

20 \times 3

60

39 + \frac{69 + 52}{60}

ⓘ Calculate the numerator and denominator before dividing:

69 + 52

121

39 + \frac{121}{60}

▶Result:

41

\frac{1}{60}

ⓘ The fraction

\frac{121}{60}

is greater than 1: extract

2

from it and add it to the whole part:

39 + \frac{121}{60}

39 + \frac{120 + 1}{60}

39 + \frac{120}{60} + \frac{1}{60}

39 + 2 + \frac{1}{60}

41 + \frac{1}{60}

The numeric value of:

41 + \frac{1}{60}

equals:

41 + \approx 1.6667 \times 10^{- 2}

▷

\approx 41.0167

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