explain 5 2/15 + 14 2/9 + 5 5/12 — step-by-step solution

⚠ 5 2/15 is read as the mixed number 5 + 2/15

⚠ 14 2/9 is read as the mixed number 14 + 2/9

Let's evaluate:

5

+ \frac{2}{15}

+ 14

+ \frac{2}{9}

+ 5

+ \frac{5}{12}

ℹ

5 + 14

19

19

+ \frac{2}{15}

+ \frac{2}{9}

+ 5

+ \frac{5}{12}

ℹ

19 + 5

24

24

+ \frac{2}{15}

+ \frac{2}{9}

+ \frac{5}{12}

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

\frac{2}{15} + \frac{2}{9}

\frac{2 \times 3 + 2 \times 5}{15 \times 3}

24 + \frac{2 \times 3 + 2 \times 5}{15 \times 3} + \frac{5}{12}

ⓘMultiplications are done before additions and subtractions:

2 \times 3

6

‖

15 \times 3

(10 + 5) \times 3

10 \times 3 + 5 \times 3

30 + 15

45

ℹ

2 \times 5

10

24 + \frac{6 + 10}{45} + \frac{5}{12}

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

6 + 10

16

24 + \frac{16}{45} + \frac{5}{12}

ℹ

\frac{16}{45} + \frac{5}{12}

\frac{16 \times 4 + 5 \times 15}{45 \times 4}

24 + \frac{16 \times 4 + 5 \times 15}{45 \times 4}

ⓘ

16 \times 4

(10 + 6) \times 4

10 \times 4 + 6 \times 4

40 + 24

64

‖

5 \times 15

(10 + 5) \times 5

10 \times 5 + 5 \times 5

50 + 25

75

‖

45 \times 4

(40 + 5) \times 4

40 \times 4 + 5 \times 4

160 + 20

180

24 + \frac{64 + 75}{180}

ℹ

64 + 75

139

24 + \frac{139}{180}

▶Result:

24

\frac{139}{180}

The numeric value of:

24 + \frac{139}{180}

equals:

24 + \approx 0.7722

▷

\approx 24.7722