Evaluate the expression when c = 3/4 and y = 2/5.Write your answer in simplest form. -3y + c
Question
Evaluate the expression when c = 3/4 and y = 2/5.Write your answer in simplest form. -3y + c
Solution
Sure, let's solve the expression step by step:
The expression given is -3y + c.
We are given that c = 3/4 and y = 2/5.
First, substitute the values of c and y into the expression.
So, -3y + c becomes -3*(2/5) + 3/4.
Now, calculate the multiplication: -3*(2/5) = -6/5.
So, the expression becomes -6/5 + 3/4.
To add these two fractions, we need to find a common denominator. The least common multiple of 5 and 4 is 20.
So, convert -6/5 and 3/4 to have the denominator of 20.
-6/5 becomes -24/20 and 3/4 becomes 15/20.
Now, add these two fractions: -24/20 + 15/20 = -9/20.
So, the simplified form of the expression -3y + c when c = 3/4 and y = 2/5 is -9/20.
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