Q. Simplify. Express your answer as a single fraction in simplest form. 37q−r52
Identify Common Denominator: Identify the common denominator for the fractions.Since the fractions 37q and r52 have different denominators, we need to find a common denominator to combine them into a single fraction. The common denominator will be the product of the two denominators, which is 3×r5.
Rewrite with Common Denominator: Rewrite each fraction with the common denominator.We will multiply the numerator and denominator of the first fraction by r5 to get the common denominator, and we will multiply the numerator and denominator of the second fraction by 3 to get the common denominator.(37q)⋅(r5r5)−(r52)⋅(33)= (3r57qr5)−(3r56)
Combine Fractions: Combine the fractions.Now that both fractions have the same denominator, we can combine them by subtracting the numerators and keeping the common denominator.(7qr5−6)/(3r5)
Simplify Expression: Simplify the expression, if possible.In this case, the numerator cannot be simplified further because there are no common factors between 7qr5 and 6. Therefore, the expression is already in its simplest form.
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