Question

Question 4

Simplify. (3/2)^2+4÷2⋅3
A. 25/24
B.75/8
C.33/4
D.51 /4

Answer 1

Remember PEMDAS (Parentheses, Exponent, Multiply, Divide, Add, Subtract)


`(3)/(2) ^(2)` + 4 ÷ 2 · 3 Change
`(3)/(2)^(2)` to
`(3^2)/(2^2)`

`(3^(2))/(2^(2))` + 4 ÷ 2 · 3 Simplify the fraction

`(9)/(4)` + 4 ÷ 2 · 3 Now, do the division

`(9)/(4)` + 2 · 3 Multiply

`(9)/(4)` + 6 Change 6 into a fraction with a denominator of 4

`(9)/(4) + (24)/(4)` Add the numerators together

`(33)/(4)`

The answer is C.
`(33)/(4)` .