24 5/8 + 23 5/8 + 13 6/7

⚠ 24 5/8 is read as the mixed number 24 + 5/8■23 5/8 is read as the mixed number 23 + 5/8■13 6/7 is read as the mixed number 13 + 6/7

Let's calculate:

24

+ \frac{5}{8}

+ 23

+ \frac{5}{8}

+ 13

+ \frac{6}{7}

ⓘ Start from

24

and move forward

23

on the number line:

24 + 23

47

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

\frac{5}{8} + \frac{5}{8}

\frac{5 + 5}{8}

47

+ \frac{5 + 5}{8}

+ 13

+ \frac{6}{7}

ⓘ Calculate the numerator and denominator before dividing:

5 + 5

10

47

+ \frac{10}{8}

+ 13

+ \frac{6}{7}

ⓘ Start from

47

and move forward

13

on the number line:

47 + 13

60

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

2

, their greatest common divisor:

\frac{10}{8}

\frac{5 \times 2}{4 \times 2}

\frac{5}{4}

60 + \frac{5}{4} + \frac{6}{7}

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

28

, the least common multiple of

4

and

7

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

\frac{5}{4} + \frac{6}{7}

\frac{5 \times 7}{4 \times 7} + \frac{6 \times 4}{7 \times 4}

\frac{5 \times 7 + 6 \times 4}{4 \times 7}

60 + \frac{5 \times 7 + 6 \times 4}{4 \times 7}

ⓘ Perform multiplications before additions and subtractions:

5 \times 7

35

6 \times 4

24

ⅰ

4 \times 7

28

60 + \frac{35 + 24}{28}

ⓘ Calculate the numerator and denominator before dividing:

35 + 24

59

60 + \frac{59}{28}

▶Result:

62

\frac{3}{28}

ⓘ Since the fraction

\frac{59}{28}

exceeds 1, take

2

out of it and add it to the whole part:

60 + \frac{59}{28}

60 + \frac{56 + 3}{28}

60 + \frac{56}{28} + \frac{3}{28}

60 + 2 + \frac{3}{28}

62 + \frac{3}{28}

The numeric value of:

62 + \frac{3}{28}

is:

62 + \approx 0.1071

▷

\approx 62.1071

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