14 7/15 + 7 6/7 + 24 13/15

⚠ 14 7/15 is read as the mixed number 14 + 7/15■7 6/7 is read as the mixed number 7 + 6/7■24 13/15 is read as the mixed number 24 + 13/15

Let's calculate:

14

+ \frac{7}{15}

+ 7

+ \frac{6}{7}

+ 24

+ \frac{13}{15}

ⓘ Start from

14

and move forward

7

on the number line:

14 + 7

21

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

\frac{7}{15} + \frac{13}{15}

\frac{7 + 13}{15}

21

+ \frac{7 + 13}{15}

+ \frac{6}{7}

+ 24

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

7 + 13

20

21

+ \frac{20}{15}

+ \frac{6}{7}

+ 24

ⓘ Start from

21

and move forward

24

on the number line:

21 + 24

45

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

5

, their greatest common divisor:

\frac{20}{15}

\frac{4 \times 5}{3 \times 5}

\frac{4}{3}

45 + \frac{4}{3} + \frac{6}{7}

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

21

, the least common multiple of

3

and

7

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

\frac{4}{3} + \frac{6}{7}

\frac{4 \times 7}{3 \times 7} + \frac{6 \times 3}{7 \times 3}

\frac{4 \times 7 + 6 \times 3}{3 \times 7}

45 + \frac{4 \times 7 + 6 \times 3}{3 \times 7}

ⓘ Perform multiplications before additions and subtractions:

4 \times 7

28

6 \times 3

18

ⅰ

3 \times 7

21

45 + \frac{28 + 18}{21}

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

28 + 18

46

45 + \frac{46}{21}

▶Result:

47

\frac{4}{21}

ⓘ Since the fraction

\frac{46}{21}

exceeds 1, take

2

out of it and add it to the whole part:

45 + \frac{46}{21}

45 + \frac{42 + 4}{21}

45 + \frac{42}{21} + \frac{4}{21}

45 + 2 + \frac{4}{21}

47 + \frac{4}{21}

The numeric value of:

47 + \frac{4}{21}

is:

47 + \approx 0.1905

▷

\approx 47.1905

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