explain 13 2/3 + 13 7/8 + 23 7/8 — step-by-step solution

⚠ 13 2/3 is read as the mixed number 13 + 2/3

⚠ 13 7/8 is read as the mixed number 13 + 7/8

Let's evaluate:

13

+ \frac{2}{3}

+ 13

+ \frac{7}{8}

+ 23

+ \frac{7}{8}

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

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

\frac{7 + 7}{8}

ℹ

13 + 13

26

26

+ \frac{2}{3}

+ \frac{7 + 7}{8}

+ 23

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

7 + 7

14

ℹ

26 + 23

49

49 + \frac{2}{3} + \frac{14}{8}

ℹ

\frac{2}{3} + \frac{14}{8}

\frac{2 \times 8 + 14 \times 3}{3 \times 8}

49 + \frac{2 \times 8 + 14 \times 3}{3 \times 8}

ⓘMultiplications are done before additions and subtractions:

2 \times 8

16

‖

14 \times 3

(10 + 4) \times 3

10 \times 3 + 4 \times 3

30 + 12

42

ℹ

3 \times 8

24

49 + \frac{16 + 42}{24}

ℹ

16 + 42

58

49 + \frac{58}{24}

ⓘWe simplify the fraction by dividing the numerator and the denominator by the number

2

\frac{58}{24}

\frac{29 \times 2}{12 \times 2}

\frac{29}{12}

49 + \frac{29}{12}

ⓘThe fraction

\frac{29}{12}

is greater than 1: add its integer part

2

to the whole part:

\frac{29}{12} + 49

51 + \frac{5}{12}

▶Result:

51

\frac{5}{12}

The numeric value of:

51 + \frac{5}{12}

is:

51 + \approx 0.4167

▷

\approx 51.4167