15 3/4 + 2 5/6

⚠ 15 3/4 is read as the mixed number 15 + 3/4■2 5/6 is read as the mixed number 2 + 5/6

Let's evaluate:

15

+ \frac{3}{4}

+ 2

+ \frac{5}{6}

ⓘ Start from

15

and move forward

2

on the number line:

15 + 2

17

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

ⓘ Add fractions by using a common denominator and then adding their 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}

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

ⓘ Multiplications are done before additions and subtractions:

3 \times 3

9

5 \times 2

10

ⅰ

4 \times 3

12

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

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

9 + 10

19

17 + \frac{19}{12}

▶Result:

18

\frac{7}{12}

ⓘ The fraction

\frac{19}{12}

is greater than 1: extract

1

from it and add it to the whole part:

17 + \frac{19}{12}

17 + \frac{12 + 7}{12}

17 + \frac{12}{12} + \frac{7}{12}

17 + 1 + \frac{7}{12}

18 + \frac{7}{12}

The numeric value of:

18 + \frac{7}{12}

is:

18 + \approx 0.5833

▷

\approx 18.5833

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