Q. Simplify. Express your answer as a single fraction in simplest form. v+5w2
Identify Terms: Identify the terms in the expression that need to be combined into a single fraction.The expression is v+5w2. To combine these into a single fraction, we need to have a common denominator.
Find Common Denominator: Find a common denominator for the terms.Since v is not a fraction, we can think of it as v/1. The common denominator for 1 and 5 is 5.
Convert to Fraction: Convert v to a fraction with the common denominator.To convert v to a fraction with a denominator of 5, we multiply both the numerator and the denominator by 5: (v×5)/(1×5)=55v.
Rewrite Expression: Rewrite the expression with the common denominator.Now we have 55v+5w2.
Combine Fractions: Combine the fractions over the common denominator.Since both fractions now have the same denominator, we can combine the numerators: (5v+w2)/5.
Check for Simplification: Check if the fraction can be simplified further.The fraction (5v+w2)/5 is already in simplest form because the numerator and the denominator do not have any common factors other than 1.
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