15 1/16 + 14 7/12 + 3 1/6

⚠ 15 1/16 is read as the mixed number 15 + 1/16■14 7/12 is read as the mixed number 14 + 7/12■3 1/6 is read as the mixed number 3 + 1/6

Let's evaluate:

15

+ \frac{1}{16}

+ 14

+ \frac{7}{12}

+ 3

+ \frac{1}{6}

ⓘ Start from

15

and move forward

14

on the number line:

15 + 14

29

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

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

\frac{7 + 2}{12}

29

+ \frac{1}{16}

+ \frac{7 + 2}{12}

+ 3

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

7 + 2

9

29

+ \frac{1}{16}

+ \frac{9}{12}

+ 3

ⓘ Start from

29

and move forward

3

on the number line:

29 + 3

32

■Simplify the fraction by dividing the numerator and the denominator by

3

, their greatest common divisor:

\frac{9}{12}

\frac{3 \times 3}{4 \times 3}

\frac{3}{4}

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

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

16

, the least common multiple of

16

and

4

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

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

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

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

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

ⓘ Multiplications are done before additions and subtractions:

3 \times 4

12

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

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

1 + 12

13

32 + \frac{13}{16}

▶Result:

32

\frac{13}{16}

The numeric value of:

32 + \frac{13}{16}

is:

32 + 0.8125

▷

32.8125

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