15 3/4 + 12 5/6

⚠ 15 3/4 is read as the mixed number 15 + 3/4■12 5/6 is read as the mixed number 12 + 5/6

Let's evaluate:

15

+ \frac{3}{4}

+ 12

+ \frac{5}{6}

ⓘ Start from

15

and move forward

12

on the number line:

15 + 12

27

27 + \frac{3}{4} + \frac{5}{6}

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

12

, the least common multiple of

4

and

6

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

\frac{3}{4} + \frac{5}{6}

\frac{3 \times 3}{4 \times 3} + \frac{5 \times 2}{6 \times 2}

\frac{3 \times 3 + 5 \times 2}{4 \times 3}

27 + \frac{3 \times 3 + 5 \times 2}{4 \times 3}

ⓘ Perform multiplications before additions and subtractions:

3 \times 3

9

5 \times 2

10

ⅰ

4 \times 3

12

27 + \frac{9 + 10}{12}

ⓘ Calculate the numerator and denominator before dividing:

9 + 10

19

27 + \frac{19}{12}

▶Result:

28

\frac{7}{12}

ⓘ Since the fraction

\frac{19}{12}

exceeds 1, take

1

out of it and add it to the whole part:

27 + \frac{19}{12}

27 + \frac{12 + 7}{12}

27 + \frac{12}{12} + \frac{7}{12}

27 + 1 + \frac{7}{12}

28 + \frac{7}{12}

The numeric value of:

28 + \frac{7}{12}

equals:

28 + \approx 0.5833

▷

\approx 28.5833

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