Q. Simplify. Express your answer as a single fraction in simplest form. 23+10v
Identify Terms: Identify the terms in the expression that need to be combined into a single fraction.The expression given is 23+10v. We have a fraction 23 and a whole number term 10v. To combine these into a single fraction, we need to find a common denominator.
Find Common Denominator: Find a common denominator for the terms.Since 23 is already a fraction, we can use 2 as the common denominator. To express 10v as a fraction with the denominator 2, we multiply 10v by 22 to get (10v×2)/2.
Combine Fractions: Combine the fractions over the common denominator.Now we have 23+2(10v×2). We can combine these fractions since they have the same denominator.23+(10v×2)
Perform Multiplication: Perform the multiplication in the numerator.Now we need to multiply 10v by 2 in the numerator.(3+20v)/2
Check for Simplification: Check if the fraction can be simplified further.The fraction (3+20v)/2 is already in simplest form because the numerator and the denominator do not have any common factors other than 1.
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