Simplifying the Expression: 1/5 + 1/5 / 2/5 as a Fraction
When dealing with fractions, it's essential to understand how to simplify and evaluate expressions involving addition, subtraction, multiplication, and division of fractions. In this article, we'll dive into the step-by-step process of simplifying the expression 1/5 + 1/5 / 2/5 as a fraction.
Step 1: Divide 1/5 by 2/5
To simplify the expression, we need to evaluate the division of 1/5 by 2/5. To do this, we can invert the second fraction (i.e., flip the numerator and denominator) and then multiply:
1/5 ÷ 2/5 = 1/5 × 5/2 = 5/10
Step 2: Simplify the Result
Now, we can simplify the result by canceling out the common factor:
5/10 = 1/2
Step 3: Add 1/5 to the Result
Next, we add 1/5 to the simplified result:
1/2 + 1/5
To add these fractions, we need to find a common denominator, which is 10. So, we can rewrite the fractions as:
5/10 + 2/10 = 7/10
Final Answer
Therefore, the simplified expression 1/5 + 1/5 / 2/5 as a fraction is:
7/10
