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# Dividing Mixed Numbers

## How do you divide mixed numbers?

See the examples below to be more clear.

Example:

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)

#### CHECK POINT

1. 1
2. 5  1
3. Jessica roasted almonds  pounds and then puts  pound almonds to each bag. How many bags of almonds can Jessica fill?
1. 1
2. 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?

1. 22 bags
2. 4 batches

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