Q. Simplify. Express your answer as a single fraction in simplest form. 3qr5−4r
Identify Common Denominator: Identify the common denominator for the fractions in the expression.Since the first term is already a fraction with a denominator of 3, and the second term is a whole number, we can rewrite the whole number as a fraction with the same denominator of 3 to combine them.
Convert Whole Number to Fraction: Convert the whole number term to a fraction with the same denominator.To convert 4r to a fraction with a denominator of 3, we multiply it by 33, which is equivalent to 1.4r×(33)=34r×3
Rewrite Expression with Like Denominators: Rewrite the expression with like denominators.Now we have 3qr5−3(4r×3), which can be combined because they have the same denominator.
Combine Fractions: Combine the fractions.Since the denominators are the same, we can combine the numerators.3qr5−(4r×3)
Simplify Numerator: Simplify the numerator.Multiply 4r by 3 to get 12r.qr5−12r
Write Final Simplified Expression: Write the final simplified expression as a single fraction.The final simplified expression is (qr5−12r)/3.
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