Fraction Calculations: 1/4 + 1/4 divided by 3/4
In this article, we will explore how to simplify the fraction calculations involved in the expression 1/4 + 1/4 divided by 3/4.
Step 1: Add 1/4 + 1/4
To start, let's add 1/4 + 1/4.
1/4 + 1/4 = 2/4
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
2/4 = 1/2
Step 2: Divide by 3/4
Now, let's divide 1/2 by 3/4.
(1/2) ÷ (3/4) = ?
To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
(1/2) ÷ (3/4) = (1/2) × (4/3)
= (1 × 4) / (2 × 3)
= 4/6
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
4/6 = 2/3
Therefore, the final answer is:
1/4 + 1/4 divided by 3/4 = 2/3
In conclusion, by following the order of operations and applying basic fraction rules, we can simplify the expression 1/4 + 1/4 divided by 3/4 to arrive at the final answer of 2/3.
