13 2/5 + 23 7/9

⚠ 13 2/5 is read as the mixed number 13 + 2/5■23 7/9 is read as the mixed number 23 + 7/9

Let's evaluate:

13

+ \frac{2}{5}

+ 23

+ \frac{7}{9}

ⓘ Start from

13

and move forward

23

on the number line:

13 + 23

36

36 + \frac{2}{5} + \frac{7}{9}

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

45

, the least common multiple of

5

and

9

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

\frac{2}{5} + \frac{7}{9}

\frac{2 \times 9}{5 \times 9} + \frac{7 \times 5}{9 \times 5}

\frac{2 \times 9 + 7 \times 5}{5 \times 9}

36 + \frac{2 \times 9 + 7 \times 5}{5 \times 9}

ⓘ Perform multiplications before additions and subtractions:

2 \times 9

18

7 \times 5

35

ⅰ

5 \times 9

45

36 + \frac{18 + 35}{45}

ⓘ Calculate the numerator and denominator before dividing:

18 + 35

53

36 + \frac{53}{45}

▶Result:

37

\frac{8}{45}

ⓘ Since the fraction

\frac{53}{45}

exceeds 1, take

1

out of it and add it to the whole part:

36 + \frac{53}{45}

36 + \frac{45 + 8}{45}

36 + \frac{45}{45} + \frac{8}{45}

36 + 1 + \frac{8}{45}

37 + \frac{8}{45}

The numeric value of:

37 + \frac{8}{45}

equals:

37 + \approx 0.1778

▷

\approx 37.1778

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