## Division of Fractions by Whole Numbers Word Problems

#### Aligned To Common Core Standard:

**Grade 5 Fractions** - 5.NF.7

How to Divide Fractions by Whole Numbers? A lot of kids find division to be a complex arithmetic operation and things get very complicated when the division is taken to an advanced level where fractions get involved. Dividing fractions by whole numbers can get difficult but taking a step-by-step approach can help in countering the difficulties.
**Step 1** - Converting the whole number into a fraction.
To convert the whole number into fraction, you must change the division operation into the multiplication operation.
Example;
5/7 ÷ 5
To convert 5 into a fraction you change division into multiplication;
5/7 × 1/5
**Step 2** - Multiply the Final Fractions - Multiply the numerator of both the fractions, and multiply the denominators of both fractions.
(5 × 1) / (7 × 5)= 5/35
**Step 3** - Simplification - The next step is to simplify the final fraction to get the right answer.
5/35 can be simplified to 1/7

### Printable Worksheets And Lessons

- Sharing Chocolate Pastries
Step-by-step Lesson- How do you share a 1/4 pound of tasty bakery
treat? Let's figure it out!

- Guided Lesson -
A day in the kitchen, I guess! Math on scoops of ice cream, wafer
biscuits, and dried fruit.

- Guided Lesson Explanation
- As you could probably tell, I'm a huge fan of timelines.

- Practice Worksheet
- Time to do a bunch of problems on your own without any prompts
or pictures.

- Matching Worksheet - I know the units kind of give away the answers. At least you can see if the kids read well.

#### Homework Sheets

You will find some real spatial problems in here that you might need to visualize in order to make sense of it.

- Homework 1 - Jett placed books evenly among 6 shelves. On one shelf he placed 8 books. How many books were there in total?
- Homework 2 - Sally had wallets. She gave the same number to 4 friends. One friend got 6 wallets. How many wallets were there in total?
- Homework 3 - Kayla equally distributed rings to 18 people. One person got 14 rings. How many rings were there in total?

#### Practice Worksheets

Is it called a "calligraphy" pen? I wasn't sure. I threw it through Google and there was no definitive answer anywhere.

- Practice 1 - Declan bought calligraphy pens. He distributed them evenly among 3 friends. One friend got 8 pens. How many calligraphy pens did Declan buy?
- Practice 2 - Anna distributed pairs of earrings to 18 friends. They all got the same amount. One friend got 4 pairs of earrings. How many pairs of earrings were there in total?
- Practice 3 - Sienna bought pen boxes. He distributed them evenly among 19 friends. One friend got 6 pen boxes. How many pen boxes did he buy?

#### Math Skill Quizzes

Denial seems to be a great Christmas gift giver. I always thought of her more as a taker. You'll see what I mean on number 1.

- Quiz 1 - Paige gave the same number of combs to 2 friends. One friend got 9 combs. How many combs were there in total?
- Quiz 2 - Gabriella equally distributed markers to 10 people. One person got 10 markers. How many markers were there in total?
- Quiz 3 - Harry bought magic balls. He distributed them evenly among 6 friends. One friend got 28 magic balls. How many magic balls did he buy?

### How to Spot the Division of Fractions in a Word Problem

When you are tackling any story or situational based math problem your focus should be on identifying all the details first. Once you understand the overall process of what is happening, you just need to drop the numbers into the process to solve them. If we spot any of the following keywords, you bet the farm that division is taking place to solve the problem: average, cut, even, every, out of, ratio, share, and split. For example, if we were examining the problem: Jeanne was bought chocolates to share with her favorite teachers. If she purchased 3/4 pounds of chocolate and needed to share them between her 3 favorite teacher, how much chocolate would each teacher receive. The concept here is that an amount of chocolate will be shared between people (teachers). The word "share" tells us which operation we are working with. We are looking for the amount of chocolate each person would receive, if it were shared equally. If we were to write this as an equation it would resemble: amount of chocolate = all chocolate ÷ number of people. Like I said, we now just have to put the numbers in: amount of chocolate = 3/4 pounds ÷ 3. In the end each teacher would receive a quarter pound of chocolate.