11 1/9 + 22 4/5 + 12 2/15 — step-by-step solution

⚠ 11 1/9 is read as the mixed number 11 + 1/9

⚠ 22 4/5 is read as the mixed number 22 + 4/5

Let's evaluate:

11

+ \frac{1}{9}

+ 22

+ \frac{4}{5}

+ 12

+ \frac{2}{15}

33

+ \frac{1}{9}

+ \frac{3 \times 4 + 2}{15}

+ 12

45 + \frac{1}{9} + \frac{12 + 2}{15}

45 + \frac{1}{9} + \frac{14}{15}

45 + \frac{5 + 14 \times 3}{9 \times 5}

45 + \frac{5 + 42}{45}

45 + \frac{47}{45}

ⓘThe fraction

\frac{47}{45}

is greater than 1: add its integer part

1

to the whole part:

\frac{47}{45} + 45

46 + \frac{2}{45}

▶Result:

46

\frac{2}{45}

The numeric value of:

46 + \frac{2}{45}

equals:

46 + \approx 4.4444 \times 10^{- 2}

▷

\approx 46.0444