22 3/20 + 23 11/12

⚠ 22 3/20 is read as the mixed number 22 + 3/20■23 11/12 is read as the mixed number 23 + 11/12

Let's calculate:

22

+ \frac{3}{20}

+ 23

+ \frac{11}{12}

ⓘ Start from

22

and move forward

23

on the number line:

22 + 23

45

45 + \frac{3}{20} + \frac{11}{12}

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

60

, the least common multiple of

20

and

12

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

\frac{3}{20} + \frac{11}{12}

\frac{3 \times 3}{20 \times 3} + \frac{11 \times 5}{12 \times 5}

\frac{3 \times 3 + 11 \times 5}{20 \times 3}

45 + \frac{3 \times 3 + 11 \times 5}{20 \times 3}

ⓘ Perform multiplications before additions and subtractions:

3 \times 3

9

11 \times 5

(10 + 1) \times 5

10 \times 5 + 5

50 + 5

55

ⅰ

20 \times 3

60

45 + \frac{9 + 55}{60}

ⓘ Calculate the numerator and denominator before dividing:

9 + 55

64

45 + \frac{64}{60}

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

4

, their greatest common divisor:

\frac{64}{60}

\frac{16 \times 4}{15 \times 4}

\frac{16}{15}

45 + \frac{16}{15}

▶Result:

46

\frac{1}{15}

ⓘ Since the fraction

\frac{16}{15}

exceeds 1, take

1

out of it and add it to the whole part:

45 + \frac{16}{15}

45 + \frac{15 + 1}{15}

45 + \frac{15}{15} + \frac{1}{15}

45 + 1 + \frac{1}{15}

46 + \frac{1}{15}

The numeric value of:

46 + \frac{1}{15}

is:

46 + \approx 6.6667 \times 10^{- 2}

▷

\approx 46.0667

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