2 1/4 divided by 1/3
To divide two fractions, we need to multiply the first fraction by the reciprocal of the second fraction:
2 1/4 ÷ 1/3 = 9/4 ÷ 1/3 = 9/4 × 3/1 = 27/4
Therefore, 2 1/4 divided by 1/3 is equal to 27/4 or 6 3/4.
To divide 2 1/4 by 1/3, you need to convert the mixed number into an improper fraction and then perform the division.
Step 1: Convert the mixed number 2 1/4 into an improper fraction:
2 1/4 = (2 * 4 + 1) / 4 = 9/4
Step 2: Divide the improper fraction 9/4 by 1/3:
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 1/3 is 3/1.
So, (9/4) / (1/3) = (9/4) * (3/1)
Step 3: Multiply the numerators and denominators:
(9 * 3) / (4 * 1) = 27/4
The result of 2 1/4 divided by 1/3 is 27/4.