explain 7 5/6 + 5 5/8 — step-by-step solution

⚠ 7 5/6 is read as the mixed number 7 + 5/6

⚠ 5 5/8 is read as the mixed number 5 + 5/8

Let's calculate:

7

+ \frac{5}{6}

+ 5

+ \frac{5}{8}

ℹ

7 + 5

12

12 + \frac{5}{6} + \frac{5}{8}

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

\frac{5}{6} + \frac{5}{8}

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

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

ⓘMultiplications are done before additions and subtractions:

5 \times 4

20

ℹ

5 \times 3

15

‖

6 \times 4

24

12 + \frac{20 + 15}{24}

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

20 + 15

35

12 + \frac{35}{24}

ⓘThe fraction

\frac{35}{24}

is greater than 1: add its integer part

1

to the whole part:

\frac{35}{24} + 12

13 + \frac{11}{24}

▶Result:

13

\frac{11}{24}

The numeric value of:

13 + \frac{11}{24}

is:

13 + \approx 0.4583

▷

\approx 13.4583