20 11/12 + 10 7/8 + 7 1/3

⚠ 20 11/12 is read as the mixed number 20 + 11/12■10 7/8 is read as the mixed number 10 + 7/8■7 1/3 is read as the mixed number 7 + 1/3

Let's calculate:

20

+ \frac{11}{12}

+ 10

+ \frac{7}{8}

+ 7

+ \frac{1}{3}

ⓘ Start from

20

and move forward

10

on the number line:

20 + 10

30

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

\frac{11}{12} + \frac{1}{3}

\frac{11 + 4}{12}

30

+ \frac{11 + 4}{12}

+ \frac{7}{8}

+ 7

ⓘ Calculate the numerator and denominator before dividing:

11 + 4

15

30

+ \frac{15}{12}

+ \frac{7}{8}

+ 7

ⓘ Start from

30

and move forward

7

on the number line:

30 + 7

37

■Simplify the fraction by dividing the numerator and the denominator by

3

, their greatest common divisor:

\frac{15}{12}

\frac{5 \times 3}{4 \times 3}

\frac{5}{4}

37 + \frac{5}{4} + \frac{7}{8}

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

8

, the least common multiple of

4

and

8

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

\frac{5}{4} + \frac{7}{8}

\frac{5 \times 2}{4 \times 2} + \frac{7}{8}

\frac{5 \times 2 + 7}{8}

37 + \frac{5 \times 2 + 7}{8}

ⓘ Perform multiplications before additions and subtractions:

5 \times 2

10

37 + \frac{10 + 7}{8}

ⓘ Calculate the numerator and denominator before dividing:

10 + 7

17

37 + \frac{17}{8}

▶Result:

39

\frac{1}{8}

ⓘ Since the fraction

\frac{17}{8}

exceeds 1, take

2

out of it and add it to the whole part:

37 + \frac{17}{8}

37 + \frac{16 + 1}{8}

37 + \frac{16}{8} + \frac{1}{8}

37 + 2 + \frac{1}{8}

39 + \frac{1}{8}

The numeric value of:

39 + \frac{1}{8}

equals:

39 + 0.125

▷

39.125

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