14 11/12 + 20 7/8 + 18 4/7

⚠ 14 11/12 is read as the mixed number 14 + 11/12■20 7/8 is read as the mixed number 20 + 7/8■18 4/7 is read as the mixed number 18 + 4/7

1) Let's calculate:

14

+ \frac{11}{12}

+ 20

+ \frac{7}{8}

+ 18

+ \frac{4}{7}

ⓘ Start from

14

and move forward

20

on the number line:

14 + 20

34

34

+ \frac{11}{12}

+ \frac{7}{8}

+ 18

+ \frac{4}{7}

ⓘ Start from

34

and move forward

18

on the number line:

34 + 18

52

52

+ \frac{11}{12}

+ \frac{7}{8}

+ \frac{4}{7}

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

24

, the least common multiple of

12

and

8

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

\frac{11}{12} + \frac{7}{8}

\frac{11 \times 2}{12 \times 2} + \frac{7 \times 3}{8 \times 3}

\frac{11 \times 2 + 7 \times 3}{12 \times 2}

52 + \frac{11 \times 2 + 7 \times 3}{12 \times 2} + \frac{4}{7}

ⓘ Multiplications are done before additions and subtractions:

11 \times 2

(10 + 1) \times 2

10 \times 2 + 2

20 + 2

22

7 \times 3

21

ⅰ

12 \times 2

(10 + 2) \times 2

10 \times 2 + 2 \times 2

20 + 4

24

52 + \frac{22 + 21}{24} + \frac{4}{7}

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

22 + 21

43

52 + \frac{43}{24} + \frac{4}{7}

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

168

, the least common multiple of

24

and

7

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

\frac{43}{24} + \frac{4}{7}

\frac{43 \times 7}{24 \times 7} + \frac{4 \times 24}{7 \times 24}

\frac{43 \times 7 + 4 \times 24}{24 \times 7}

52 + \frac{43 \times 7 + 4 \times 24}{24 \times 7}

ⓘ Multiplications are done before additions and subtractions:

43 \times 7

(40 + 3) \times 7

40 \times 7 + 3 \times 7

280 + 21

301

4 \times 24

4 \times (20 + 4)

4 \times 20 + 4 \times 4

80 + 16

96

ⅰ

24 \times 7

(20 + 4) \times 7

20 \times 7 + 4 \times 7

140 + 28

168

52 + \frac{301 + 96}{168}

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

301 + 96

397

52 + \frac{397}{168}

▶Result:

54

\frac{61}{168}

ⓘ The fraction

\frac{397}{168}

is greater than 1: extract

2

from it and add it to the whole part:

52 + \frac{397}{168}

52 + \frac{336 + 61}{168}

52 + \frac{336}{168} + \frac{61}{168}

52 + 2 + \frac{61}{168}

54 + \frac{61}{168}

2) The numeric value of:

54 + \frac{61}{168}

is:

54 + \approx 0.3631

▷

\approx 54.3631

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