explain 15 1/16 + 14 7/12 + 3 1/6 — step-by-step solution

⚠ 15 1/16 is read as the mixed number 15 + 1/16

⚠ 14 7/12 is read as the mixed number 14 + 7/12

Let's evaluate:

15

+ \frac{1}{16}

+ 14

+ \frac{7}{12}

+ 3

+ \frac{1}{6}

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

\frac{7}{12} + \frac{1}{6}

\frac{7 + 2}{12}

ℹ

15 + 14

29

29

+ \frac{1}{16}

+ \frac{7 + 2}{12}

+ 3

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

7 + 2

9

ℹ

29 + 3

32

32 + \frac{1}{16} + \frac{9}{12}

ℹ

\frac{1}{16} + \frac{9}{12}

\frac{1 \times 3 + 9 \times 4}{16 \times 3}

32 + \frac{1 \times 3 + 9 \times 4}{16 \times 3}

ⓘMultiplications are done before additions and subtractions:

9 \times 4

36

‖

16 \times 3

(10 + 6) \times 3

10 \times 3 + 6 \times 3

30 + 18

48

ℹ

1 \times 3

3

32 + \frac{3 + 36}{48}

ℹ

3 + 36

39

32 + \frac{39}{48}

ⓘWe simplify the fraction by dividing the numerator and the denominator by the number

3

\frac{39}{48}

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

\frac{13}{16}

32 + \frac{13}{16}

▶Result:

32

\frac{13}{16}

The approximate value of:

32 + \frac{13}{16}

equals:

32 + 0.8125

▷

32.8125