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# what is 37 1/4 times 32

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What is 37 1/4 times 32

Mar 25, 2020

#1
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Hey guest! I'm assuming you meant $$37 \frac14 * 32$$ for this problem.

To get the answer for this one, I'd imagine there are a variety of solutions, but rather than converting $$37 \frac14$$ into a fraction and then multiplying that by 32(that would be quite cumbersome in my opinion), what I would do is split the mixed number into two parts. A whole number, and a fractional part(The reasoning behind this is not random!).

We can write the following equivalence:

$$37 \frac14 * 32 = (37 + \frac14) * 32$$

We then distribute this into:

$$(37 + \frac14) * 32 = (37*32) + (\frac14 * 32)$$

Do you see now why this method makes this particular problem easy? If you haven't noticed, the right side, which is $$(\frac14 * 32)$$, reduces very nicely, as 4 is a factor of 32(32 is 4 * 8). This leaves us with:

$$(37 * 32) + (8)$$

Plugging this in a calculator, this converts to:

$$(1184) + (8) = 1192$$ as our final answer

Mar 25, 2020
#2
+1968
+1

Here's a simpler way to solve it.

First, make 37 1/4 into a mixed number: 149/4

Then, multiply it by 32.

(149/4)*32 (simplify)

(149/1)*8=1192

Hope this helped!

Mar 25, 2020