7 5/6 + 5 5/8

⚠ 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}

ⓘ Start from

7

and move forward

5

on the number line:

7 + 5

12

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

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

24

, the least common multiple of

6

and

8

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

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

\frac{5 \times 4}{6 \times 4} + \frac{5 \times 3}{8 \times 3}

\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

5 \times 3

15

ⅰ

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}

▶Result:

13

\frac{11}{24}

ⓘ The fraction

\frac{35}{24}

is greater than 1: extract

1

from it and add it to the whole part:

12 + \frac{35}{24}

12 + \frac{24 + 11}{24}

12 + \frac{24}{24} + \frac{11}{24}

12 + 1 + \frac{11}{24}

13 + \frac{11}{24}

The numeric value of:

13 + \frac{11}{24}

equals:

13 + \approx 0.4583

▷

\approx 13.4583

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