Let’s evaluate the expression step by step. The expression we need to evaluate is:
–1/2 + 4 – (–1/5) – 5
We can simplify this expression step by step:
- Start with the expression:
–1/2 + 4 + 1/5 – 5 - Combine the constants:
First, let's handle the whole numbers (4 and -5):
4 – 5 = -1 - Your updated expression is now:
–1/2 – 1 + 1/5 - Convert –1 into a fraction:
–1 can be written as –2/2, so now the expression is:
–1/2 – 2/2 + 1/5 - Combining fractions:
Now we need a common denominator to combine the fractions. The denominators are 2 and 5, and the least common multiple (LCM) is 10.
Convert each fraction:
–1/2 becomes –5/10
–2/2 becomes –10/10
1/5 becomes 2/10 - Your expression is now:
–5/10 – 10/10 + 2/10 - Combine the fractions:
(–5 – 10 + 2)/10 = –13/10 - Final result:
The expression evaluates to –13/10. - Convert to mixed number:
–13/10 can also be expressed as a mixed number. Since 10 goes into 13 one time, with a remainder of 3, we get:
–1 3/10.
The final answer is –1 3/10 or –13/10.