How do you divide mixed numbered fractions?

Answer 1

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

Answer 2

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!