8 11/16 + 15 1/6 + 20 7/12

⚠ 8 11/16 is read as the mixed number 8 + 11/16■15 1/6 is read as the mixed number 15 + 1/6■20 7/12 is read as the mixed number 20 + 7/12

Let's calculate:

8

+ \frac{11}{16}

+ 15

+ \frac{1}{6}

+ 20

+ \frac{7}{12}

ⓘ Start from

8

and move forward

15

on the number line:

8 + 15

23

■Add fractions by using a common denominator and then adding their numerators:

\frac{1}{6} + \frac{7}{12}

\frac{2 + 7}{12}

23

+ \frac{11}{16}

+ \frac{2 + 7}{12}

+ 20

ⓘ Calculate the numerator and denominator before dividing:

2 + 7

9

23

+ \frac{11}{16}

+ \frac{9}{12}

+ 20

ⓘ Start from

23

and move forward

20

on the number line:

23 + 20

43

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

3

, their greatest common divisor:

\frac{9}{12}

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

\frac{3}{4}

43 + \frac{11}{16} + \frac{3}{4}

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

16

, the least common multiple of

16

and

4

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

\frac{11}{16} + \frac{3}{4}

\frac{11}{16} + \frac{3 \times 4}{4 \times 4}

\frac{11 + 3 \times 4}{16}

43 + \frac{11 + 3 \times 4}{16}

ⓘ Multiplications are done before additions and subtractions:

3 \times 4

12

43 + \frac{11 + 12}{16}

ⓘ Calculate the numerator and denominator before dividing:

11 + 12

23

43 + \frac{23}{16}

▶Result:

44

\frac{7}{16}

ⓘ Since the fraction

\frac{23}{16}

exceeds 1, take

1

out of it and add it to the whole part:

43 + \frac{23}{16}

43 + \frac{16 + 7}{16}

43 + \frac{16}{16} + \frac{7}{16}

43 + 1 + \frac{7}{16}

44 + \frac{7}{16}

The numeric value of:

44 + \frac{7}{16}

equals:

44 + 0.4375

▷

44.4375

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