explain 20 11/12 + 10 7/8 + 7 1/3 — step-by-step solution

⚠ 20 11/12 is read as the mixed number 20 + 11/12

⚠ 10 7/8 is read as the mixed number 10 + 7/8

Let's evaluate:

20

+ \frac{11}{12}

+ 10

+ \frac{7}{8}

+ 7

+ \frac{1}{3}

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

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

\frac{11 + 4}{12}

ℹ

20 + 10

30

30

+ \frac{11 + 4}{12}

+ \frac{7}{8}

+ 7

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

11 + 4

15

ℹ

30 + 7

37

37 + \frac{15}{12} + \frac{7}{8}

ℹ

\frac{15}{12} + \frac{7}{8}

\frac{15 \times 2 + 7 \times 3}{12 \times 2}

37 + \frac{15 \times 2 + 7 \times 3}{12 \times 2}

ⓘMultiplications are done before additions and subtractions:

15 \times 2

(10 + 5) \times 2

10 \times 2 + 5 \times 2

20 + 10

30

‖

12 \times 2

(10 + 2) \times 2

10 \times 2 + 2 \times 2

20 + 4

24

ℹ

7 \times 3

21

37 + \frac{30 + 21}{24}

ℹ

30 + 21

51

37 + \frac{51}{24}

ⓘWe simplify the fraction by dividing the numerator and the denominator by the number

3

\frac{51}{24}

\frac{17 \times 3}{8 \times 3}

\frac{17}{8}

37 + \frac{17}{8}

ⓘThe fraction

\frac{17}{8}

is greater than 1: add its integer part

2

to the whole part:

\frac{17}{8} + 37

39 + \frac{1}{8}

▶Result:

39

\frac{1}{8}

The approximate value of:

39 + \frac{1}{8}

equals:

39 + 0.125

▷

39.125