11 9/16 + 12 11/12 + 24 7/12

⚠ 11 9/16 is read as the mixed number 11 + 9/16■12 11/12 is read as the mixed number 12 + 11/12■24 7/12 is read as the mixed number 24 + 7/12

Let's evaluate:

11

+ \frac{9}{16}

+ 12

+ \frac{11}{12}

+ 24

+ \frac{7}{12}

ⓘ Start from

11

and move forward

12

on the number line:

11 + 12

23

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

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

\frac{11 + 7}{12}

23

+ \frac{9}{16}

+ \frac{11 + 7}{12}

+ 24

ⓘ Calculate the numerator and denominator before dividing:

11 + 7

18

23

+ \frac{9}{16}

+ \frac{18}{12}

+ 24

ⓘ Start from

23

and move forward

24

on the number line:

23 + 24

47

■Simplify the fraction by dividing the numerator and the denominator by

6

, their greatest common divisor:

\frac{18}{12}

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

\frac{3}{2}

47 + \frac{9}{16} + \frac{3}{2}

ⓘ To add fractions, put them over the same denominator, then add the numerators. We choose

16

, the least common multiple of

16

and

2

. Multiplying the numerator and the denominator by the same number does not change the fraction:

\frac{9}{16} + \frac{3}{2}

\frac{9}{16} + \frac{3 \times 8}{2 \times 8}

\frac{9 + 3 \times 8}{16}

47 + \frac{9 + 3 \times 8}{16}

ⓘ Perform multiplications before additions and subtractions:

3 \times 8

24

47 + \frac{9 + 24}{16}

ⓘ Calculate the numerator and denominator before dividing:

9 + 24

33

47 + \frac{33}{16}

▶Result:

49

\frac{1}{16}

ⓘ The fraction

\frac{33}{16}

is greater than 1: extract

2

from it and add it to the whole part:

47 + \frac{33}{16}

47 + \frac{32 + 1}{16}

47 + \frac{32}{16} + \frac{1}{16}

47 + 2 + \frac{1}{16}

49 + \frac{1}{16}

The numeric value of:

49 + \frac{1}{16}

is:

49 + 0.0625

▷

49.0625

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