22 1/20 + 9 1/9 + 15 11/15

⚠ 22 1/20 is read as the mixed number 22 + 1/20■9 1/9 is read as the mixed number 9 + 1/9■15 11/15 is read as the mixed number 15 + 11/15

1) Let's evaluate:

22

+ \frac{1}{20}

+ 9

+ \frac{1}{9}

+ 15

+ \frac{11}{15}

ⓘ Start from

22

and move forward

9

on the number line:

22 + 9

31

31

+ \frac{1}{20}

+ \frac{1}{9}

+ 15

+ \frac{11}{15}

ⓘ Start from

31

and move forward

15

on the number line:

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. We choose

180

, the least common multiple of

20

and

9

. Multiplying the numerator and the denominator by the same number does not change the fraction:

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

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

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

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

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

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

9 + 20

29

ⅰ

20 \times 9

180

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

ⓘ To add fractions, put them over the same denominator, then add the numerators. We choose

180

, the least common multiple of

180

and

15

. Multiplying the numerator and the denominator by the same number does not change the fraction:

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

\frac{29}{180} + \frac{11 \times 12}{15 \times 12}

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

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

ⓘ Perform multiplications before additions and subtractions:

11 \times 12

(10 + 1) \times 12

10 \times 12 + 12

120 + 12

132

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

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

29 + 132

161

46 + \frac{161}{180}

▶Result:

46

\frac{161}{180}

2) The numeric value of:

46 + \frac{161}{180}

equals:

46 + \approx 0.8944

▷

\approx 46.8944

100% free