Evaluate the expression when c = 3/4 and y=2/15 Write your answer in simplest form. -3y +c
Question
Evaluate the expression when c = \frac{3}{4}
and y = \frac{2}{15}
Write your answer in simplest form.
Solution
Sure, let's evaluate the expression step by step.
The expression is -3y + c.
Given that c = 3/4 and y = 2/15.
First, substitute the values of c and y into the expression.
So, -3y + c becomes -3*(2/15) + 3/4.
Now, calculate -3*(2/15). This equals -6/15, which simplifies to -2/5.
So, the expression now becomes -2/5 + 3/4.
To add these two fractions, we need to find a common denominator. The least common denominator of 5 and 4 is 20.
So, convert -2/5 to -8/20 and 3/4 to 15/20.
Now, the expression becomes -8/20 + 15/20.
Adding these two fractions gives us 7/20.
So, the simplest form of the expression -3y + c when c = 3/4 and y = 2/15 is 7/20.
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