Dividing Mixed Numbers
How do you divide mixed numbers?
See the examples below to be more clear.
Example: 2 2
Step 1: To convert 2 to improper fraction, multiply the whole number, 2 by the denominator, 3, which means 2 × 3 = 6
Add numerator to the above product, so 6 + 1 = 7
2 to improper fraction is .
Similarly, 2 to improper fraction involve the following steps:
(2 × 9) + 5 = 18 + 5 = 23
2 to improper fraction is .
Step 2: In terms of improper fractions, the given problem is
Step 3: Take the reciprocal of the second fraction and convert division symbol to multiplication symbol.
Step 4: Reduce to lowest terms and leave the answer as it is or write it as a mixed fraction.
= 7 =
Example 2: David made quart of pineapple shake. If each glass can hold of a quart, then how many glasses can David fill?
Solution: To find the number of glasses David can fill, divide the amount of shake David has made with the amount each glass can hold.
So, number of glasses David can fill =1 ÷ = ÷ = × 6 = 3 × 3 = 9 (Answer)
- 5 1
- Jessica roasted almonds pounds and then puts pound almonds to each bag. How many bags of almonds can Jessica fill?
- A bakery shop uses of a bag of sugar for each batch of donuts. If the shop used bag of sugar on Tuesday, how many batches of donuts did the shop made on Tuesday?
- 22 bags
- 4 batches
Download/Solve a Worksheet for Dividing Mixed Numbers
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