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# How do you divide mixed numbered fractions?

Updated: 9/16/2023

Wiki User

13y ago

When working with mixed numbers it is easier to convert them to improper fractions, do the maths using normal fraction techniques and then convert any resulting improper fraction back to a mixed number.

To divide mixed numbers is a simple matter of converting them to improper fractions; now the divisor can be turned upside down, the fractions multiplied and any resulting improper fraction converted back to a mixed number.

For example: 4⅜ ÷ 1¾

4⅜ = (4×8+3)/8 = 35/8

1¾ = (1×4+3)/4 = 7/4

→ 4⅜ ÷ 1¾

= 35/8 ÷ 7/4

= 35/8 × 4/7

= 5/2

= (2×2+1)/2

= 2½

Wiki User

7y ago

Wiki User

13y ago

First, you must turn the mixed fractions into improper fractions. Do this by multiplying the denominator (bottom) by the whole number then adding the numerator. (top)

For example:

1 1/4 and 2 1/3. 1 1/4 would be 1x4=4+1=5/4. For 2 1/3: 3x2=6+1=7/3.

Next, you change the division sign to a multiplication sign. Now, flip the second fraction. Our second fraction is 7/3 so we change it to 3/7. Now we multiply numerator by numerator and denominator by denominator. 5/4 x 3/7= 15/28. In some problems you must simplify or change it to a mixed number. Good luck!