Simplifying Fractions: 1/5+1/5 divided by 3/5 as a Fraction
When dealing with fractions, it's essential to understand how to perform various operations, including addition and division. In this article, we'll explore how to simplify the expression 1/5+1/5 divided by 3/5 as a fraction.
Step 1: Add the Fractions
To start, let's add the two fractions 1/5 and 1/5. To add fractions, we need to have the same denominator, which is 5 in this case. Therefore, we can add the numerators (1 and 1) and keep the denominator the same:
1/5 + 1/5 = (1 + 1)/5 = 2/5
Step 2: Divide by 3/5
Now, we need to divide the result by 3/5. To divide fractions, we can invert the second fraction (i.e., flip the numerator and denominator) and then multiply:
(2/5) ÷ (3/5) = (2/5) × (5/3) = (2 × 5)/(5 × 3) = 10/15
Simplifying the Result
We can simplify the fraction 10/15 by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 5 in this case:
10 ÷ 5 = 2 15 ÷ 5 = 3
So, the simplified result is:
2/3
Conclusion
In conclusion, the expression 1/5+1/5 divided by 3/5 as a fraction is equal to 2/3. By following the steps outlined above, you can simplify complex fraction expressions and arrive at a simplified answer.
