Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Understand the Problem
We need to determine how many times the fraction $$\frac{4}{3}$$ goes into 400.
This is equivalent to dividing 400 by \frac{4}{3}.
Step 3:: Set Up the Division
400 \div \frac{4}{3} = 400 \times \frac{3}{4}
To divide by a fraction, we multiply by its reciprocal:
Step 4:: Perform the Multiplication
400 \times \frac{3}{4} = \frac{400 \times 3}{4} = \frac{1200}{4} = 300
Step 5:: Verify the Result
Let's check: $$\frac{4}{3} \times 300 = 400 \checkmark
Final Answer
\frac{4}{3} fits into 400 exactly 300 times.
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