SOLUTION: What is 1 1/4 times 3/4 divided by 3 1/2 times 2 1/4?

Question 341402: What is 1 1/4 times 3/4 divided by 3 1/2 times 2 1/4?
Found 2 solutions by rfer, Theo:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
(5/4*3/4)/(7/2*9/4)
(15/12)/(63/8)
15/12*8/63=120/756=10/63
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
You have:

By the calculator, the answer should be equal to .119047619.

First you would want to make improper fractions out of the composite integers plus proper fractions.

1 + 1/4 is equivalent to 5/4 because 1 is equivalent to 4/4 and 4/4 + 1/4 = 5/4.

3 + 1/2 is equivalent to 7/2 because 3 is equivalent to 6/2 and 6/2 + 1/2 = 7/2.

2 + 1/4 is equivalent to 9/4 because 2 is equivalent to 8/4 and 8/4 + 1/4 = 9/4.

Your equation of becomes equivalent to:

Since (5/4) * (3/4) is equal to (5*3)/(4*3) which is equal to (15/16), and since (7/2) * (9/4) is equal to (7*9)/(2*4) which is equal to (63/8), then your equation becomes:

since (a/b) / (c/d) is the same as (a/b) * (d/c), then your equation becomes:

This is also equivalent to:

Since 8 goes into 8 and 16, and since 3 goes into 15 and 63, then this can be further simplified to:

which can be further simplified to:

If you take 5 and divide it by 42, then you get .119047619.

Since this is the same number that we generated using the calculator, you can assume that it's good.

Your answer would be because that fraction cannot be simplified any further.

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