14 3/16 + 17 2/5 + 12 1/12

⚠ 14 3/16 is read as the mixed number 14 + 3/16■17 2/5 is read as the mixed number 17 + 2/5■12 1/12 is read as the mixed number 12 + 1/12

1) Let's calculate:

14

+ \frac{3}{16}

+ 17

+ \frac{2}{5}

+ 12

+ \frac{1}{12}

ⓘ Start from

14

and move forward

17

on the number line:

14 + 17

31

31

+ \frac{3}{16}

+ \frac{2}{5}

+ 12

+ \frac{1}{12}

ⓘ Start from

31

and move forward

12

on the number line:

31 + 12

43

43

+ \frac{3}{16}

+ \frac{2}{5}

+ \frac{1}{12}

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

80

, the least common multiple of

16

and

5

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

\frac{3}{16} + \frac{2}{5}

\frac{3 \times 5}{16 \times 5} + \frac{2 \times 16}{5 \times 16}

\frac{3 \times 5 + 2 \times 16}{16 \times 5}

43 + \frac{3 \times 5 + 2 \times 16}{16 \times 5} + \frac{1}{12}

ⓘ Perform multiplications before additions and subtractions:

3 \times 5

15

2 \times 16

2 \times (10 + 6)

2 \times 10 + 2 \times 6

20 + 12

32

ⅰ

16 \times 5

(10 + 6) \times 5

10 \times 5 + 6 \times 5

50 + 30

80

43 + \frac{15 + 32}{80} + \frac{1}{12}

ⓘ Calculate the numerator and denominator before dividing:

15 + 32

47

43 + \frac{47}{80} + \frac{1}{12}

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

240

, the least common multiple of

80

and

12

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

\frac{47}{80} + \frac{1}{12}

\frac{47 \times 3}{80 \times 3} + \frac{1 \times 20}{12 \times 20}

\frac{47 \times 3 + 1 \times 20}{80 \times 3}

\frac{47 \times 3 + 20}{80 \times 3}

43 + \frac{47 \times 3 + 20}{80 \times 3}

ⓘ Perform multiplications before additions and subtractions:

47 \times 3

(40 + 7) \times 3

40 \times 3 + 7 \times 3

120 + 21

141

ⅰ

80 \times 3

240

43 + \frac{141 + 20}{240}

ⓘ Calculate the numerator and denominator before dividing:

141 + 20

161

43 + \frac{161}{240}

▶Result:

43

\frac{161}{240}

2) The numeric value of:

43 + \frac{161}{240}

equals:

43 + \approx 0.6708

▷

\approx 43.6708

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