Review Use the order of operations to simplify th ((4)/(5))^(2)-:((4)/(5)-(1)/(15))

Question

asked Sep 11, 2024 42.2k views

1 Answer

Rossella · Answer 1 · 2024-09-17T14:55:17+0000

To simplify the expression, use the order of operations, also known as PEMDAS. The simplified expression is 48/55.

To simplify the expression, we will use the order of operations, also known as PEMDAS. The expression is as follows: ((4/5)^2) / ((4/5) - (1/15)).

Step 1: Simplify the expression inside the parentheses first. ((4/5)^2) becomes (16/25).

Step 2: Simplify the expression inside the denominator. ((4/5) - (1/15)) becomes (11/15).

Step 3: Divide (16/25) by (11/15) which gives us (16/25) * (15/11) = 240/275 = 48/55.

So, the simplified expression is 48/55.