12 3/8 + 24 13/16 + 12 1/12

⚠ 12 3/8 is read as the mixed number 12 + 3/8■24 13/16 is read as the mixed number 24 + 13/16■12 1/12 is read as the mixed number 12 + 1/12

Let's evaluate:

12

+ \frac{3}{8}

+ 24

+ \frac{13}{16}

+ 12

+ \frac{1}{12}

ⓘ Start from

12

and move forward

24

on the number line:

12 + 24

36

■Add fractions by using a common denominator and then adding their numerators:

\frac{3}{8} + \frac{13}{16}

\frac{2 \times 3 + 13}{16}

36

+ \frac{2 \times 3 + 13}{16}

+ 12

+ \frac{1}{12}

ⓘ Perform multiplications before additions and subtractions:

2 \times 3

6

■Start from

36

and move forward

12

on the number line:

36 + 12

48

48 + \frac{6 + 13}{16} + \frac{1}{12}

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

6 + 13

19

48 + \frac{19}{16} + \frac{1}{12}

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose

48

, the least common multiple of

16

and

12

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

\frac{19}{16} + \frac{1}{12}

\frac{19 \times 3}{16 \times 3} + \frac{1 \times 4}{12 \times 4}

\frac{19 \times 3 + 1 \times 4}{16 \times 3}

\frac{19 \times 3 + 4}{16 \times 3}

48 + \frac{19 \times 3 + 4}{16 \times 3}

ⓘ Perform multiplications before additions and subtractions:

19 \times 3

(10 + 9) \times 3

10 \times 3 + 9 \times 3

30 + 27

57

ⅰ

16 \times 3

(10 + 6) \times 3

10 \times 3 + 6 \times 3

30 + 18

48

48 + \frac{57 + 4}{48}

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

57 + 4

61

48 + \frac{61}{48}

▶Result:

49

\frac{13}{48}

ⓘ The fraction

\frac{61}{48}

is greater than 1: extract

1

from it and add it to the whole part:

48 + \frac{61}{48}

48 + \frac{48 + 13}{48}

48 + \frac{48}{48} + \frac{13}{48}

48 + 1 + \frac{13}{48}

49 + \frac{13}{48}

The numeric value of:

49 + \frac{13}{48}

equals:

49 + \approx 0.2708

▷

\approx 49.2708

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