Simplify the following expression: start fraction 5 squared minus 4 over 5 plus 2 end fraction.
(1 point)
Responses
1/7
6/7
26.2
3
To simplify the expression, we need to evaluate each part separately and then combine them.
Starting with 5 squared, this means 5 raised to the power of 2, which is 25.
Next, we have 4/5, which cannot be simplified further.
Finally, we have 5/1, which is 5.
Putting it all together:
Start by evaluating 25 - 4/5, which is 25/1 - 4/5.
To find a common denominator, we multiply the numerator and denominator of the second fraction by 5, giving us 25/1 - 20/5.
Combining the fractions gives us (25 - 20)/1 = 5/1 = 5.
Adding 5 to 5 gives us 5 + 2 = 7.
So, the simplified expression is 7.
To simplify the expression, let's step through each part one by one.
First, we have 5 squared minus 4 over 5 plus 2.
5 squared, or 5^2, is equal to 25.
Next, we have 4 over 5.
The expression 4 over 5 means 4 divided by 5, which is equal to 0.8.
Lastly, we have 25 minus 0.8 plus 2.
By subtracting 0.8 from 25, we get 24.2. Adding 2 to 24.2 gives us a final result of 26.2.
Therefore, the simplified expression is 26.2.