13 2/3 + 13 7/8 + 23 7/8

⚠ 13 2/3 is read as the mixed number 13 + 2/3■13 7/8 is read as the mixed number 13 + 7/8■23 7/8 is read as the mixed number 23 + 7/8

Let's evaluate:

13

+ \frac{2}{3}

+ 13

+ \frac{7}{8}

+ 23

+ \frac{7}{8}

ⓘ Start from

13

and move forward

13

on the number line:

13 + 13

26

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

\frac{7}{8} + \frac{7}{8}

\frac{7 + 7}{8}

26

+ \frac{2}{3}

+ \frac{7 + 7}{8}

+ 23

ⓘ Calculate the numerator and denominator before dividing:

7 + 7

14

26

+ \frac{2}{3}

+ \frac{14}{8}

+ 23

ⓘ Start from

26

and move forward

23

on the number line:

26 + 23

49

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

2

, their greatest common divisor:

\frac{14}{8}

\frac{7 \times 2}{4 \times 2}

\frac{7}{4}

49 + \frac{2}{3} + \frac{7}{4}

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

12

, the least common multiple of

3

and

4

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

\frac{2}{3} + \frac{7}{4}

\frac{2 \times 4}{3 \times 4} + \frac{7 \times 3}{4 \times 3}

\frac{2 \times 4 + 7 \times 3}{3 \times 4}

49 + \frac{2 \times 4 + 7 \times 3}{3 \times 4}

ⓘ Multiplications are done before additions and subtractions:

2 \times 4

8

7 \times 3

21

ⅰ

3 \times 4

12

49 + \frac{8 + 21}{12}

ⓘ Calculate the numerator and denominator before dividing:

8 + 21

29

49 + \frac{29}{12}

▶Result:

51

\frac{5}{12}

ⓘ Since the fraction

\frac{29}{12}

exceeds 1, take

2

out of it and add it to the whole part:

49 + \frac{29}{12}

49 + \frac{24 + 5}{12}

49 + \frac{24}{12} + \frac{5}{12}

49 + 2 + \frac{5}{12}

51 + \frac{5}{12}

The numeric value of:

51 + \frac{5}{12}

is:

51 + \approx 0.4167

▷

\approx 51.4167

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