Evaluate the expression when x = -3/8 and y = 5/16. Write your answer in simplest form. x-3y
Question
Evaluate the expression when x = -3/8
and y = 5/16
.
Write your answer in simplest form.
Expression:
x - 3y
Solution
Sure, let's evaluate the expression step by step.
Given: x = -3/8 y = 5/16
Expression: x - 3y
Step 1: Substitute the values of x and y into the expression.
= (-3/8) - 3*(5/16)
Step 2: Multiply 3 with 5/16.
= (-3/8) - (15/16)
Step 3: Subtract the fractions. To do this, they must have the same denominator. In this case, they do (8 and 16). We can convert -3/8 to -6/16 to have the same denominator.
= -6/16 - 15/16
Step 4: Subtract the numerators.
= -21/16
So, the expression x - 3y evaluates to -21/16 when x = -3/8 and y = 5/16.
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