Simplify the following expression: start fraction 5 squared minus 4 over 5 plus 2 end fraction.

Question

(1 point)
Responses

start fraction 1 over 7 end fraction
Image with alt text: start fraction 1 over 7 end fraction

six-sevenths
Image with alt text: six-sevenths

26.2
26.2

3
3

Answer 1

To simplify the expression, we start by solving each part separately:

5 squared is 5 x 5 = 25.
4 divided by 5 is 4/5.
So the expression becomes:
25 - 4/5 + 2.

To add or subtract fractions, we need to have a common denominator. The lowest common denominator for 5 and 1 is 5, so we rewrite the expression as:

25/1 - 4/5 + 10/5.

Now that the fractions have the same denominator, we can combine them:

25/1 - 4/5 + 10/5 = (25 - 4 + 10)/5 = 31/5.

Therefore, the simplified expression is 31/5.