3 14/15 + 22 7/15 + 16 5/6

⚠ 3 14/15 is read as the mixed number 3 + 14/15■22 7/15 is read as the mixed number 22 + 7/15■16 5/6 is read as the mixed number 16 + 5/6

Let's calculate:

3

+ \frac{14}{15}

+ 22

+ \frac{7}{15}

+ 16

+ \frac{5}{6}

ⓘ Start from

3

and move forward

22

on the number line:

3 + 22

25

■Add fractions by using a common denominator and then adding their numerators:

\frac{14}{15} + \frac{7}{15}

\frac{14 + 7}{15}

25

+ \frac{14 + 7}{15}

+ 16

+ \frac{5}{6}

ⓘ Calculate the numerator and denominator before dividing:

14 + 7

21

25

+ \frac{21}{15}

+ 16

+ \frac{5}{6}

ⓘ Start from

25

and move forward

16

on the number line:

25 + 16

41

■We simplify the fraction by dividing the numerator and the denominator by

3

, their greatest common divisor:

\frac{21}{15}

\frac{7 \times 3}{5 \times 3}

\frac{7}{5}

41 + \frac{7}{5} + \frac{5}{6}

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose

30

, the least common multiple of

5

and

6

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

\frac{7}{5} + \frac{5}{6}

\frac{7 \times 6}{5 \times 6} + \frac{5 \times 5}{6 \times 5}

\frac{7 \times 6 + 5 \times 5}{5 \times 6}

41 + \frac{7 \times 6 + 5 \times 5}{5 \times 6}

ⓘ Multiplications are done before additions and subtractions:

7 \times 6

42

5 \times 5

25

ⅰ

5 \times 6

30

41 + \frac{42 + 25}{30}

ⓘ Calculate the numerator and denominator before dividing:

42 + 25

67

41 + \frac{67}{30}

▶Result:

43

\frac{7}{30}

ⓘ Since the fraction

\frac{67}{30}

exceeds 1, take

2

out of it and add it to the whole part:

41 + \frac{67}{30}

41 + \frac{60 + 7}{30}

41 + \frac{60}{30} + \frac{7}{30}

41 + 2 + \frac{7}{30}

43 + \frac{7}{30}

The numeric value of:

43 + \frac{7}{30}

equals:

43 + \approx 0.2333

▷

\approx 43.2333

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