explain 15 3/4 + 2 5/6 — step-by-step solution

⚠ 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 calculate:

15

+ \frac{3}{4}

+ 2

+ \frac{5}{6}

ℹ

15 + 2

17

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

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

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

\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

ℹ

5 \times 2

10

‖

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}

ⓘThe fraction

\frac{19}{12}

is greater than 1: add its integer part

1

to the whole part:

\frac{19}{12} + 17

18 + \frac{7}{12}

▶Result:

18

\frac{7}{12}

The numeric value of:

18 + \frac{7}{12}

is:

18 + \approx 0.5833

▷

\approx 18.5833