explain 24 9/16 + 24 14/15 — step-by-step solution

⚠ 24 9/16 is read as the mixed number 24 + 9/16

⚠ 24 14/15 is read as the mixed number 24 + 14/15

Let's calculate:

24

+ \frac{9}{16}

+ 24

+ \frac{14}{15}

ℹ

24 + 24

48

48 + \frac{9}{16} + \frac{14}{15}

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

\frac{9}{16} + \frac{14}{15}

\frac{9 \times 15 + 14 \times 16}{16 \times 15}

48 + \frac{9 \times 15 + 14 \times 16}{16 \times 15}

ⓘMultiplications are done before additions and subtractions:

9 \times 15

(10 + 5) \times 9

10 \times 9 + 5 \times 9

90 + 45

135

‖

14 \times 16

16 \times (10 + 4)

16 \times 10 + 16 \times 4

160 + 64

224

‖

16 \times 15

16 \times (10 + 5)

16 \times 10 + 16 \times 5

160 + 80

240

48 + \frac{135 + 224}{240}

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

135 + 224

359

48 + \frac{359}{240}

ⓘThe fraction

\frac{359}{240}

is greater than 1: add its integer part

1

to the whole part:

\frac{359}{240} + 48

49 + \frac{119}{240}

▶Result:

49

\frac{119}{240}

The approximate value of:

49 + \frac{119}{240}

is:

49 + \approx 0.4958

▷

\approx 49.4958