explain 3 14/15 + 22 7/15 + 16 5/6 — step-by-step solution

⚠ 3 14/15 is read as the mixed number 3 + 14/15

⚠ 22 7/15 is read as the mixed number 22 + 7/15

Let's calculate:

3

+ \frac{14}{15}

+ 22

+ \frac{7}{15}

+ 16

+ \frac{5}{6}

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

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

\frac{14 + 7}{15}

ℹ

3 + 22

25

25

+ \frac{14 + 7}{15}

+ 16

+ \frac{5}{6}

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

14 + 7

21

ℹ

25 + 16

41

41 + \frac{21}{15} + \frac{5}{6}

ℹ

\frac{21}{15} + \frac{5}{6}

\frac{21 \times 2 + 5 \times 5}{15 \times 2}

41 + \frac{21 \times 2 + 5 \times 5}{15 \times 2}

ⓘMultiplications are done before additions and subtractions:

21 \times 2

(20 + 1) \times 2

20 \times 2 + 2

40 + 2

42

‖

15 \times 2

(10 + 5) \times 2

10 \times 2 + 5 \times 2

20 + 10

30

ℹ

5 \times 5

25

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

ℹ

42 + 25

67

41 + \frac{67}{30}

ⓘThe fraction

\frac{67}{30}

is greater than 1: add its integer part

2

to the whole part:

\frac{67}{30} + 41

43 + \frac{7}{30}

▶Result:

43

\frac{7}{30}

The approximate value of:

43 + \frac{7}{30}

equals:

43 + \approx 0.2333

▷

\approx 43.2333