# Dividing Mixed Numbers

Home | Online Math Tutoring | 7th Grade Math Tutoring | **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)**

**CHECK POINT**

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

- 1
- 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?

##### Answer key

- 22 bags
- 4 batches

*Download/Solve a **Worksheet** for **Dividing Mixed Numbers*

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