explain 10 1/6 + 11 5/6 — step-by-step solution

⚠ 10 1/6 is read as the mixed number 10 + 1/6

⚠ 11 5/6 is read as the mixed number 11 + 5/6

Let's evaluate:

10

+ \frac{1}{6}

+ 11

+ \frac{5}{6}

ⓘStart from

10

and move forward

11

on the number line:

10 + 11

21

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

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

\frac{1 + 5}{6}

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

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

1 + 5

6

21 + \frac{6}{6}

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

6

\frac{6}{6}

\frac{1 \times 6}{1 \times 6}

\frac{1}{1}

21 + 1

ⓘStart from

21

and move forward

1

on the number line

▶Result:

22