explain 23 5/6 + 24 3/4 + 17 8/9 — step-by-step solution

⚠ 23 5/6 is read as the mixed number 23 + 5/6

⚠ 24 3/4 is read as the mixed number 24 + 3/4

Let's calculate:

23

+ \frac{5}{6}

+ 24

+ \frac{3}{4}

+ 17

+ \frac{8}{9}

ℹ

23 + 24

47

47

+ \frac{5}{6}

+ \frac{3}{4}

+ 17

+ \frac{8}{9}

ℹ

47 + 17

64

64

+ \frac{5}{6}

+ \frac{3}{4}

+ \frac{8}{9}

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

\frac{5}{6} + \frac{3}{4}

\frac{5 \times 2 + 3 \times 3}{6 \times 2}

64 + \frac{5 \times 2 + 3 \times 3}{6 \times 2} + \frac{8}{9}

ⓘMultiplications are done before additions and subtractions:

5 \times 2

10

ℹ

3 \times 3

9

‖

6 \times 2

12

64 + \frac{10 + 9}{12} + \frac{8}{9}

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

10 + 9

19

64 + \frac{19}{12} + \frac{8}{9}

ℹ

\frac{19}{12} + \frac{8}{9}

\frac{19 \times 3 + 8 \times 4}{12 \times 3}

64 + \frac{19 \times 3 + 8 \times 4}{12 \times 3}

ⓘ

19 \times 3

(10 + 9) \times 3

10 \times 3 + 9 \times 3

30 + 27

57

‖

12 \times 3

(10 + 2) \times 3

10 \times 3 + 2 \times 3

30 + 6

36

ℹ

8 \times 4

32

64 + \frac{57 + 32}{36}

ℹ

57 + 32

89

64 + \frac{89}{36}

ⓘThe fraction

\frac{89}{36}

is greater than 1: add its integer part

2

to the whole part:

\frac{89}{36} + 64

66 + \frac{17}{36}

▶Result:

66

\frac{17}{36}

The numeric value of:

66 + \frac{17}{36}

is:

66 + \approx 0.4722

▷

\approx 66.4722