22 2/9 + 14 1/8 + 12 1/9

⚠ 22 2/9 is read as the mixed number 22 + 2/9■14 1/8 is read as the mixed number 14 + 1/8■12 1/9 is read as the mixed number 12 + 1/9

Let's evaluate:

22

+ \frac{2}{9}

+ 14

+ \frac{1}{8}

+ 12

+ \frac{1}{9}

ⓘ Start from

22

and move forward

14

on the number line:

22 + 14

36

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

\frac{2}{9} + \frac{1}{9}

\frac{2 + 1}{9}

36

+ \frac{2 + 1}{9}

+ \frac{1}{8}

+ 12

ⓘ Calculate the numerator and denominator before dividing:

2 + 1

3

36

+ \frac{3}{9}

+ \frac{1}{8}

+ 12

ⓘ Start from

36

and move forward

12

on the number line:

36 + 12

48

■Simplify the fraction by dividing the numerator and the denominator by

3

, their greatest common divisor:

\frac{3}{9}

\frac{1 \times 3}{3 \times 3}

\frac{1}{3}

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

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

24

, the least common multiple of

3

and

8

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

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

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

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

\frac{8 + 3}{3 \times 8}

48 + \frac{8 + 3}{3 \times 8}

ⓘ Calculate the numerator and denominator before dividing:

8 + 3

11

ⅰ

3 \times 8

24

48 + \frac{11}{24}

▶Result:

48

\frac{11}{24}

The numeric value of:

48 + \frac{11}{24}

equals:

48 + \approx 0.4583

▷

\approx 48.4583

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