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24

5//8×73//5

$24$ $\newline$ $5 / 8 \times 73 / 5$

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Multiply and divide positive and negative fractions

Full solution

Q.

24

\newline

5 / 8 \times 73 / 5

Convert to Improper Fractions: First, we need to convert the mixed numbers into improper fractions. $\newline$ For $24$ and $\frac{5}{8}$ , we multiply the whole number $24$ by the denominator $8$ and add the numerator $5$ . $\newline$ $24 \times 8 + 5 = 192 + 5 = 197$ $\newline$ So, $24$ and $\frac{5}{8}$ is $\frac{197}{8}$ as an improper fraction.
Calculate Improper Fractions: For $73$ and $\frac{5}{5}$ , we multiply the whole number $73$ by the denominator $5$ and add the numerator $5$ . $\newline$ $73 \times 5 + 5 = 365 + 5 = 370$ $\newline$ However, since $\frac{5}{5}$ is equal to $1$ , adding it to $73$ gives us $74$ . $\newline$ So, $73$ and $\frac{5}{5}$ is $74$ as a whole number, which can also be written as $\frac{5}{5}$ $3$ as an improper fraction.
Multiply Fractions: Now we multiply the two improper fractions together. $(\frac{197}{8}) \times (\frac{74}{1}) = \frac{197 \times 74}{8 \times 1}$
Calculate Numerators: We calculate the multiplication of the numerators. $197 \times 74 = 14578$
Calculate Denominators: We calculate the multiplication of the denominators. $8 \times 1 = 8$
Divide to Get Final Answer: Now we divide the result of the numerators by the result of the denominators to get the final answer. $14578 / 8 = 1822.25$

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