24 9/16 + 24 14/15

⚠ 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}

ⓘ Start from

24

and move forward

24

on the number line:

24 + 24

48

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

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose

240

, the least common multiple of

16

and

15

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

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

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

\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

9 \times (10 + 5)

9 \times 10 + 9 \times 5

90 + 45

135

14 \times 16

(10 + 4) \times 16

10 \times 16 + 4 \times 16

160 + 64

224

ⅰ

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}

▶Result:

49

\frac{119}{240}

ⓘ The fraction

\frac{359}{240}

is greater than 1: extract

1

from it and add it to the whole part:

48 + \frac{359}{240}

48 + \frac{240 + 119}{240}

48 + \frac{240}{240} + \frac{119}{240}

48 + 1 + \frac{119}{240}

49 + \frac{119}{240}

The numeric value of:

49 + \frac{119}{240}

equals:

49 + \approx 0.4958

▷

\approx 49.4958

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