explain 14 11/12 + 20 7/8 + 18 4/7 — step-by-step solution

⚠ 14 11/12 is read as the mixed number 14 + 11/12

⚠ 20 7/8 is read as the mixed number 20 + 7/8

Let's calculate:

14

+ \frac{11}{12}

+ 20

+ \frac{7}{8}

+ 18

+ \frac{4}{7}

ℹ

14 + 20

34

34

+ \frac{11}{12}

+ \frac{7}{8}

+ 18

+ \frac{4}{7}

ℹ

34 + 18

52

52

+ \frac{11}{12}

+ \frac{7}{8}

+ \frac{4}{7}

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

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

\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

‖

12 \times 2

(10 + 2) \times 2

10 \times 2 + 2 \times 2

20 + 4

24

ℹ

7 \times 3

21

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}

ℹ

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

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

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

ⓘ

43 \times 7

(40 + 3) \times 7

40 \times 7 + 3 \times 7

280 + 21

301

‖

4 \times 24

(20 + 4) \times 4

20 \times 4 + 4 \times 4

80 + 16

96

‖

24 \times 7

(20 + 4) \times 7

20 \times 7 + 4 \times 7

140 + 28

168

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

ℹ

301 + 96

397

52 + \frac{397}{168}

ⓘThe fraction

\frac{397}{168}

is greater than 1: add its integer part

2

to the whole part:

\frac{397}{168} + 52

54 + \frac{61}{168}

▶Result:

54

\frac{61}{168}

The approximate value of:

54 + \frac{61}{168}

equals:

54 + \approx 0.3631

▷

\approx 54.3631