explain 4 2/9 + 18 1/9 + 19 1/12 — step-by-step solution

⚠ 4 2/9 is read as the mixed number 4 + 2/9

⚠ 18 1/9 is read as the mixed number 18 + 1/9

Let's calculate:

4

+ \frac{2}{9}

+ 18

+ \frac{1}{9}

+ 19

+ \frac{1}{12}

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

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

\frac{2 + 1}{9}

ℹ

4 + 18

22

22

+ \frac{2 + 1}{9}

+ 19

+ \frac{1}{12}

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

2 + 1

3

ℹ

22 + 19

41

41 + \frac{3}{9} + \frac{1}{12}

ℹ

\frac{3}{9} + \frac{1}{12}

\frac{3 \times 4 + 1 \times 3}{9 \times 4}

41 + \frac{3 \times 4 + 1 \times 3}{9 \times 4}

ⓘMultiplications are done before additions and subtractions:

3 \times 4

12

ℹ

1 \times 3

3

‖

9 \times 4

36

41 + \frac{12 + 3}{36}

ℹ

12 + 3

15

41 + \frac{15}{36}

ⓘWe simplify the fraction by dividing the numerator and the denominator by the number

3

\frac{15}{36}

\frac{5 \times 3}{12 \times 3}

\frac{5}{12}

41 + \frac{5}{12}

▶Result:

41

\frac{5}{12}

The approximate value of:

41 + \frac{5}{12}

is:

41 + \approx 0.4167

▷

\approx 41.4167