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$23 \frac{8}{24} - 16 \frac{3}{36} =$

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Subtract integers

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Q.

23 \frac{8}{24} - 16 \frac{3}{36} =

Simplify Fractions: Simplify the fractions if possible. $\frac{8}{24}$ can be reduced to $\frac{1}{3}$ because both $8$ and $24$ are divisible by $8$ . Similarly, $\frac{3}{36}$ can be reduced to $\frac{1}{12}$ because both $3$ and $36$ are divisible by $3$ .
Convert to Improper Fractions: Convert the mixed numbers to improper fractions. For $23 \frac{1}{3}$ , multiply the whole number $23$ by the denominator $3$ and add the numerator $1$ to get $23 \times 3 + 1 = 70$ , so the improper fraction is $\frac{70}{3}$ . For $16 \frac{1}{12}$ , multiply the whole number $16$ by the denominator $12$ and add the numerator $1$ to get $23$ $0$ , so the improper fraction is $23$ $1$ .
Find Common Denominator: Find a common denominator for the two fractions. The least common multiple of $3$ and $12$ is $12$ , so we will use $12$ as the common denominator. The fraction $\frac{70}{3}$ needs to be converted to have a denominator of $12$ . To do this, multiply both the numerator and the denominator by $4$ to get $\left(\frac{70 \times 4}{3 \times 4}\right) = \frac{280}{12}$ .
Subtract Numerators: Now that both fractions have the same denominator, subtract the numerators. Subtract $193$ from $280$ to get $280 - 193 = 87$ . The resulting fraction is $\frac{87}{12}$ .
Convert to Mixed Number: Convert the improper fraction back to a mixed number. To do this, divide the numerator by the denominator. $87$ divided by $12$ is $7$ with a remainder of $3$ . So the mixed number is $7\frac{3}{12}$ .
Simplify Fraction: Simplify the fraction part of the mixed number if possible. The fraction $\frac{3}{12}$ can be reduced to $\frac{1}{4}$ because both $3$ and $12$ are divisible by $3$ .
Combine Whole Number: Combine the whole number and the simplified fraction to get the final answer. The final answer is $7 \frac{1}{4}$ .

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