Question

Find the quotient. Draw a model to support your solution.

9 4 ÷ 3 4

Answer 1

The quotient of 9/4 divided by 3/4 is found by multiplying 9/4 by the reciprocal of 3/4, which is 4/3. Simplify by cancelling out the common factors, resulting in 36/12, and the final answer is 3.

Step-by-step explanation:

To find the quotient of 9/4 ÷ 3/4, you can think of this as 9/4 divided by 3/4, or 9/4 multiplied by the reciprocal of 3/4, which is 4/3. When you multiply the two fractions, the 4s in the numerator and denominator will cancel out. This simplification is based on the principle that when you are multipling fractions, you multiply the top numbers (numerators) and divide by the bottom numbers (denominators).

Here's a step-by-step solution:

1. Write the problem as a multiplication problem: 9/4 × 4/3.
2. Multiply the numerators: 9 × 4 = 36.
3. Multiply the denominators: 4 × 3 = 12.
4. Divide the result in step 2 by the result in step 3: 36 ÷ 12 = 3.

The quotient is therefore 3.