explain 22 2/9 + 14 1/8 + 12 1/9 — step-by-step solution

⚠ 22 2/9 is read as the mixed number 22 + 2/9

⚠ 14 1/8 is read as the mixed number 14 + 1/8

Let's evaluate:

22

+ \frac{2}{9}

+ 14

+ \frac{1}{8}

+ 12

+ \frac{1}{9}

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

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

\frac{2 + 1}{9}

ℹ

22 + 14

36

36

+ \frac{2 + 1}{9}

+ \frac{1}{8}

+ 12

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

2 + 1

3

ℹ

36 + 12

48

48 + \frac{3}{9} + \frac{1}{8}

ℹ

\frac{3}{9} + \frac{1}{8}

\frac{3 \times 8 + 1 \times 9}{9 \times 8}

48 + \frac{3 \times 8 + 1 \times 9}{9 \times 8}

ⓘMultiplications are done before additions and subtractions:

3 \times 8

24

ℹ

1 \times 9

9

‖

9 \times 8

72

48 + \frac{24 + 9}{72}

ℹ

24 + 9

33

48 + \frac{33}{72}

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

3

\frac{33}{72}

\frac{11 \times 3}{24 \times 3}

\frac{11}{24}

48 + \frac{11}{24}

▶Result:

48

\frac{11}{24}

The numeric value of:

48 + \frac{11}{24}

is:

48 + \approx 0.4583

▷

\approx 48.4583