Fraction Operations: 1/4 + 1/4 divided by 3/4
When working with fractions, it's essential to understand the different operations that can be performed on them. In this article, we'll explore the calculation 1/4 + 1/4 divided by 3/4, step by step.
Breaking Down the Expression
To evaluate this expression, we need to follow the order of operations (PEMDAS):
- Addition: 1/4 + 1/4
- Division: Result of addition divided by 3/4
Step 1: Addition
To add two fractions with the same denominator (4), we simply add the numerators (1 + 1 = 2) and keep the same denominator:
1/4 + 1/4 = 2/4
Step 2: Division
Now, we'll divide the result by 3/4:
2/4 ÷ 3/4 = ?
To divide fractions, we'll invert the second fraction (i.e., flip the numerator and denominator) and then multiply:
2/4 × 4/3 = 8/12
Simplifying the Result
We can simplify the resulting fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 4:
8 ÷ 4 = 2 12 ÷ 4 = 3
So, the final result is:
2/3
In conclusion, 1/4 + 1/4 divided by 3/4 equals 2/3.
