explain 7 1/2 + 6 5/6 — step-by-step solution

⚠ 7 1/2 is read as the mixed number 7 + 1/2

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

Let's calculate:

7

+ \frac{1}{2}

+ 6

+ \frac{5}{6}

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

\frac{1}{2} + \frac{5}{6}

\frac{3 + 5}{6}

ℹ

7 + 6

13

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

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

3 + 5

8

13 + \frac{8}{6}

ⓘWe simplify the fraction by dividing the numerator and the denominator by the number

2

\frac{8}{6}

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

\frac{4}{3}

13 + \frac{4}{3}

ⓘThe fraction

\frac{4}{3}

is greater than 1: add its integer part

1

to the whole part:

\frac{4}{3} + 13

14 + \frac{1}{3}

▶Result:

14

\frac{1}{3}

The numeric value of:

14 + \frac{1}{3}

is:

14 + \approx 0.3333

▷

\approx 14.3333