4 2/9 + 18 1/9 + 19 1/12

⚠ 4 2/9 is read as the mixed number 4 + 2/9■18 1/9 is read as the mixed number 18 + 1/9■19 1/12 is read as the mixed number 19 + 1/12

Let's calculate:

4

+ \frac{2}{9}

+ 18

+ \frac{1}{9}

+ 19

+ \frac{1}{12}

ⓘ Start from

4

and move forward

18

on the number line:

4 + 18

22

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

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

\frac{2 + 1}{9}

22

+ \frac{2 + 1}{9}

+ 19

+ \frac{1}{12}

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

2 + 1

3

22

+ \frac{3}{9}

+ 19

+ \frac{1}{12}

ⓘ Start from

22

and move forward

19

on the number line:

22 + 19

41

■We 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}

41 + \frac{1}{3} + \frac{1}{12}

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

12

, the least common multiple of

3

and

12

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

\frac{1}{3} + \frac{1}{12}

\frac{1 \times 4}{3 \times 4} + \frac{1}{12}

\frac{1 \times 4 + 1}{12}

\frac{4 + 1}{12}

41 + \frac{4 + 1}{12}

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

4 + 1

5

41 + \frac{5}{12}

▶Result:

41

\frac{5}{12}

The numeric value of:

41 + \frac{5}{12}

is:

41 + \approx 0.4167

▷

\approx 41.4167

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