1/4 Divided by 2 2/3 Simplified
The Problem
To simplify the expression 1/4 divided by 2 2/3, we need to follow the order of operations (PEMDAS) and perform the division operation.
Converting Mixed Numbers to Improper Fractions
First, let's convert the mixed number 2 2/3 to an improper fraction. To do this, we multiply the whole number part (2) by the denominator (3) and add the numerator (2).
2 × 3 + 2 = 6 + 2 = 8
So, the mixed number 2 2/3 is equal to the improper fraction 8/3.
Performing the Division
Now, we can rewrite the problem as:
1/4 ÷ 8/3
To divide fractions, we invert the second fraction (i.e., flip the numerator and denominator) and then multiply:
1/4 × 3/8
Simplifying the Fraction
Next, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 3 and 8 is 1, so the fraction is already in its simplest form.
The Simplified Answer
Therefore, 1/4 divided by 2 2/3 simplified is equal to:
3/8
