# How do you divide mixed fractions like 1 1/2 divided by 3 1/4? Im  confused Thank You!

marypmc | Certified Educator

calendarEducator since 2011

starTop subjects are Social Sciences, Math, and Literature

To divide mixed fractions/mixed numbers, do the following steps;

1.  Convert the mixed fractions (mixed numbers) to improper fractions.

2.  MULTIPLY the first fraction by the inverse of the second fraction(swap the numerator and denominator).

3.  Reduce to simplest form.

IN THIS EXAMPLE:

1.  1 1/2 will be converted to 3/2, and 3 1/4 will be converted to 13/4.

2.  Multiply 3/2 x 4/13 = 12/26

3.  Reduce.  12/26 = 6/13

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academicsfirst | Certified Educator

calendarEducator since 2011

starTop subjects are Math and Literature

We are asked to divide 1 1/2 by 3 1/4.

First we change the mixed numbers to improper fractions.

=>  1 1/2 = 3/2

=>  3 1/4  = 13/4

We can now write the problem as (3/2) / (13/4)

=> Invert the second fraction and multiply.

=> (3/2) x (4/13)

=> The answer is 12/26 which reduces to 6/13.