explain 19 1/3 + 1 8/9 — step-by-step solution

⚠ 19 1/3 is read as the mixed number 19 + 1/3

⚠ 1 8/9 is read as the mixed number 1 + 8/9

Let's evaluate:

19

+ \frac{1}{3}

+ 1

+ \frac{8}{9}

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

\frac{1}{3} + \frac{8}{9}

\frac{3 + 8}{9}

ℹ

19 + 1

20

20 + \frac{3 + 8}{9}

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

3 + 8

11

20 + \frac{11}{9}

ⓘThe fraction

\frac{11}{9}

is greater than 1: add its integer part

1

to the whole part:

\frac{11}{9} + 20

21 + \frac{2}{9}

▶Result:

21

\frac{2}{9}

The numeric value of:

21 + \frac{2}{9}

is:

21 + \approx 0.2222

▷

\approx 21.2222