15 15/16 + 22 13/20 + 19 7/9

⚠ 15 15/16 is read as the mixed number 15 + 15/16■22 13/20 is read as the mixed number 22 + 13/20■19 7/9 is read as the mixed number 19 + 7/9

1) Let's evaluate:

15

+ \frac{15}{16}

+ 22

+ \frac{13}{20}

+ 19

+ \frac{7}{9}

ⓘ Start from

15

and move forward

22

on the number line:

15 + 22

37

37

+ \frac{15}{16}

+ \frac{13}{20}

+ 19

+ \frac{7}{9}

ⓘ Start from

37

and move forward

19

on the number line:

37 + 19

56

56

+ \frac{15}{16}

+ \frac{13}{20}

+ \frac{7}{9}

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

80

, the least common multiple of

16

and

20

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

\frac{15}{16} + \frac{13}{20}

\frac{15 \times 5}{16 \times 5} + \frac{13 \times 4}{20 \times 4}

\frac{15 \times 5 + 13 \times 4}{16 \times 5}

56 + \frac{15 \times 5 + 13 \times 4}{16 \times 5} + \frac{7}{9}

ⓘ Multiplications are done before additions and subtractions:

15 \times 5

(10 + 5) \times 5

10 \times 5 + 5 \times 5

50 + 25

75

13 \times 4

(10 + 3) \times 4

10 \times 4 + 3 \times 4

40 + 12

52

ⅰ

16 \times 5

(10 + 6) \times 5

10 \times 5 + 6 \times 5

50 + 30

80

56 + \frac{75 + 52}{80} + \frac{7}{9}

ⓘ Calculate the numerator and denominator before dividing:

75 + 52

127

56 + \frac{127}{80} + \frac{7}{9}

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

720

, the least common multiple of

80

and

9

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

\frac{127}{80} + \frac{7}{9}

\frac{127 \times 9}{80 \times 9} + \frac{7 \times 80}{9 \times 80}

\frac{127 \times 9 + 7 \times 80}{80 \times 9}

56 + \frac{127 \times 9 + 7 \times 80}{80 \times 9}

ⓘ Multiplications are done before additions and subtractions:

127 \times 9

(100 + 20 + 7) \times 9

100 \times 9 + 20 \times 9 + 7 \times 9

900 + 180 + 63

1143

7 \times 80

560

ⅰ

80 \times 9

720

56 + \frac{1143 + 560}{720}

ⓘ Calculate the numerator and denominator before dividing:

1143 + 560

1703

56 + \frac{1703}{720}

▶Result:

58

\frac{263}{720}

ⓘ The fraction

\frac{1703}{720}

is greater than 1: extract

2

from it and add it to the whole part:

56 + \frac{1703}{720}

56 + \frac{1440 + 263}{720}

56 + \frac{1440}{720} + \frac{263}{720}

56 + 2 + \frac{263}{720}

58 + \frac{263}{720}

2) The numeric value of:

58 + \frac{263}{720}

equals:

58 + \approx 0.3653

▷

\approx 58.3653

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