explain 22 11/12 + 1 5/8 — step-by-step solution

⚠ 22 11/12 is read as the mixed number 22 + 11/12

⚠ 1 5/8 is read as the mixed number 1 + 5/8

Let's calculate:

22

+ \frac{11}{12}

+ 1

+ \frac{5}{8}

ℹ

22 + 1

23

23 + \frac{11}{12} + \frac{5}{8}

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

\frac{11}{12} + \frac{5}{8}

\frac{11 \times 2 + 5 \times 3}{12 \times 2}

23 + \frac{11 \times 2 + 5 \times 3}{12 \times 2}

ⓘ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

5 \times 3

15

23 + \frac{22 + 15}{24}

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

22 + 15

37

23 + \frac{37}{24}

ⓘThe fraction

\frac{37}{24}

is greater than 1: add its integer part

1

to the whole part:

\frac{37}{24} + 23

24 + \frac{13}{24}

▶Result:

24

\frac{13}{24}

The numeric value of:

24 + \frac{13}{24}

equals:

24 + \approx 0.5417

▷

\approx 24.5417