explain 11 9/16 + 12 11/12 + 24 7/12 — step-by-step solution

⚠ 11 9/16 is read as the mixed number 11 + 9/16

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

Let's calculate:

11

+ \frac{9}{16}

+ 12

+ \frac{11}{12}

+ 24

+ \frac{7}{12}

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

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

\frac{11 + 7}{12}

ℹ

11 + 12

23

23

+ \frac{9}{16}

+ \frac{11 + 7}{12}

+ 24

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

11 + 7

18

ℹ

23 + 24

47

47 + \frac{9}{16} + \frac{18}{12}

ℹ

\frac{9}{16} + \frac{18}{12}

\frac{9 \times 3 + 18 \times 4}{16 \times 3}

47 + \frac{9 \times 3 + 18 \times 4}{16 \times 3}

ⓘMultiplications are done before additions and subtractions:

9 \times 3

27

‖

18 \times 4

(10 + 8) \times 4

10 \times 4 + 8 \times 4

40 + 32

72

‖

16 \times 3

(10 + 6) \times 3

10 \times 3 + 6 \times 3

30 + 18

48

47 + \frac{27 + 72}{48}

ℹ

27 + 72

99

47 + \frac{99}{48}

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

3

\frac{99}{48}

\frac{33 \times 3}{16 \times 3}

\frac{33}{16}

47 + \frac{33}{16}

ⓘThe fraction

\frac{33}{16}

is greater than 1: add its integer part

2

to the whole part:

\frac{33}{16} + 47

49 + \frac{1}{16}

▶Result:

49

\frac{1}{16}

The approximate value of:

49 + \frac{1}{16}

is:

49 + 0.0625

▷

49.0625