explain 22 1/20 + 9 1/9 + 15 11/15 — step-by-step solution

⚠ 22 1/20 is read as the mixed number 22 + 1/20

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

Let's evaluate:

22

+ \frac{1}{20}

+ 9

+ \frac{1}{9}

+ 15

+ \frac{11}{15}

ℹ

22 + 9

31

31

+ \frac{1}{20}

+ \frac{1}{9}

+ 15

+ \frac{11}{15}

ℹ

31 + 15

46

46

+ \frac{1}{20}

+ \frac{1}{9}

+ \frac{11}{15}

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

\frac{1}{20} + \frac{1}{9}

\frac{1 \times 9 + 1 \times 20}{20 \times 9}

46 + \frac{1 \times 9 + 1 \times 20}{20 \times 9} + \frac{11}{15}

ℹ

1 \times 9

9

‖

1 \times 20

20

‖

20 \times 9

180

46 + \frac{9 + 20}{180} + \frac{11}{15}

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

9 + 20

29

46 + \frac{29}{180} + \frac{11}{15}

ℹ

\frac{29}{180} + \frac{11}{15}

\frac{29 + 11 \times 12}{180}

46 + \frac{29 + 11 \times 12}{180}

ⓘMultiplications are done before additions and subtractions:

11 \times 12

12 \times (10 + 1)

12 \times 10 + 12

120 + 12

132

46 + \frac{29 + 132}{180}

ℹ

29 + 132

161

46 + \frac{161}{180}

▶Result:

46

\frac{161}{180}

The approximate value of:

46 + \frac{161}{180}

is:

46 + \approx 0.8944

▷

\approx 46.8944