explain 12 3/8 + 24 13/16 + 12 1/12 — step-by-step solution

⚠ 12 3/8 is read as the mixed number 12 + 3/8

⚠ 24 13/16 is read as the mixed number 24 + 13/16

Let's evaluate:

12

+ \frac{3}{8}

+ 24

+ \frac{13}{16}

+ 12

+ \frac{1}{12}

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

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

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

ℹ

12 + 24

36

36

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

+ 12

+ \frac{1}{12}

ⓘMultiplications are done before additions and subtractions:

2 \times 3

6

ℹ

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}

ℹ

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

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

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

ⓘ

19 \times 3

(10 + 9) \times 3

10 \times 3 + 9 \times 3

30 + 27

57

‖

16 \times 3

(10 + 6) \times 3

10 \times 3 + 6 \times 3

30 + 18

48

ℹ

1 \times 4

4

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

ℹ

57 + 4

61

48 + \frac{61}{48}

ⓘThe fraction

\frac{61}{48}

is greater than 1: add its integer part

1

to the whole part:

\frac{61}{48} + 48

49 + \frac{13}{48}

▶Result:

49

\frac{13}{48}

The approximate value of:

49 + \frac{13}{48}

equals:

49 + \approx 0.2708

▷

\approx 49.2708