explain 14 3/16 + 17 2/5 + 12 1/12 — step-by-step solution

⚠ 14 3/16 is read as the mixed number 14 + 3/16

⚠ 17 2/5 is read as the mixed number 17 + 2/5

Let's calculate:

14

+ \frac{3}{16}

+ 17

+ \frac{2}{5}

+ 12

+ \frac{1}{12}

ℹ

14 + 17

31

31

+ \frac{3}{16}

+ \frac{2}{5}

+ 12

+ \frac{1}{12}

ℹ

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:

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

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

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

ⓘMultiplications are done before additions and subtractions:

3 \times 5

15

‖

2 \times 16

(10 + 6) \times 2

10 \times 2 + 6 \times 2

20 + 12

32

‖

16 \times 5

(10 + 6) \times 5

10 \times 5 + 6 \times 5

50 + 30

80

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

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

15 + 32

47

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

ℹ

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

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

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

ⓘ

47 \times 3

(40 + 7) \times 3

40 \times 3 + 7 \times 3

120 + 21

141

ℹ

1 \times 20

20

‖

80 \times 3

240

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

ℹ

141 + 20

161

43 + \frac{161}{240}

▶Result:

43

\frac{161}{240}

The numeric value of:

43 + \frac{161}{240}

equals:

43 + \approx 0.6708

▷

\approx 43.6708