How do you simplify #\frac{74}{4}\div \frac{3}{2}#?

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Answer 1 · 2018-01-31T05:09:31

#37/3#

#74/4 / 3/2#

When dividing a fraction by a fraction, you switch the numerator and the denominator of either one and multiply instead.

#74/4 * 2/3#

Now multiplying the top and the top, and the bottom and the bottom:

#148/12#

To simplify, check for a gcm: greatest common multiple

Factors of #148#: #1, 2, 4, 37, 74, 148#.
Factors of #12#: #1, 2, 3, 4, 6, 12#.

So the gcm, is 4.

#148/4 = 37#,
#12/4=3#

So #148/12 = 37/3#, which can't be simplified anymore, so that's the answer.