## Which number is 1 4 1 2 and 1 5 of 200?

To find 1/4 of 1/2 of 1/5 of 200, you can multiply these fractions together:

- Start with 200.
- Take 1/5 of 200, which is 40.
- Take 1/2 of 40, which is 20.
- Finally, take 1/4 of 20, which is 5.
So, the number that is 1/4 of 1/2 of 1/5 of 200 is 5.

## Solving Multi-Step Fraction Problems

Finding fractional amounts of other fractional amounts requires carefully applying each fractional multiplication step-by-step. Let’s solve the multi-step fraction problem:

What is 1/4 of 1/2 of 1/5 of 200?

## Understanding the Problem

This involves taking 1/5 of 200 first, then finding 1/2 of that amount, and finally taking 1/4 of the result. Doing it sequentially simplifies the calculations.

Step 1) What is 1/5 of 200?

200 / 5 = 40 So 1/5 of 200 is 40.

Step 2) What is 1/2 of 40?

40 / 2 = 20 So 1/2 of 40 is 20.

Step 3) What is 1/4 of 20?

20 / 4 = 5

Therefore, 1/4 of 1/2 of 1/5 of 200 is 5.

## Checking the Work

We can verify this is correct by taking 1/4 of 1/2 of 1/5 of 200 using a calculator. Doing so also gives an answer of 5, confirming the sequential fractional multiplication steps.

Approaching multi-step fractional problems methodically develops skills in decomposing bigger problems into manageable pieces. Understanding fractions conceptually provides the logic to solve efficiently.

In summary, solve multi-step fraction of fraction problems by applying one fractional multiplication at a time, performing the operations sequentially.

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