explain 24 9/10 + 15 5/12 — step-by-step solution

⚠ 24 9/10 is read as the mixed number 24 + 9/10

⚠ 15 5/12 is read as the mixed number 15 + 5/12

Let's calculate:

24

+ \frac{9}{10}

+ 15

+ \frac{5}{12}

ℹ

24 + 15

39

39 + \frac{9}{10} + \frac{5}{12}

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

\frac{9}{10} + \frac{5}{12}

\frac{9 \times 6 + 5 \times 5}{10 \times 6}

39 + \frac{9 \times 6 + 5 \times 5}{10 \times 6}

ⓘMultiplications are done before additions and subtractions:

9 \times 6

54

ℹ

5 \times 5

25

‖

10 \times 6

60

39 + \frac{54 + 25}{60}

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

54 + 25

79

39 + \frac{79}{60}

ⓘThe fraction

\frac{79}{60}

is greater than 1: add its integer part

1

to the whole part:

\frac{79}{60} + 39

40 + \frac{19}{60}

▶Result:

40

\frac{19}{60}

The numeric value of:

40 + \frac{19}{60}

equals:

40 + \approx 0.3167

▷

\approx 40.3167