Division of Whole Numbers By Fractions Within Word Problems
Aligned To Common Core Standard:
Grade 5 Fractions - 5.NF.7
How to Divide Whole Numbers by Fractions When you are dividing a whole number with a fraction, you are finding how many groups of the fraction can get fit in the whole. A basic method of dividing whole numbers into a fraction is through multiplying the whole number with the fraction's reciprocal or the inverted copy. This process is easier to understand with a visual aid. - Convert the whole number into fraction, i.e. 7 becomes 7/1 7/1 ÷ 3/4 - Find the divisor's reciprocal. The reciprocal is inverse of a term. So, for 3/4, it is going to be 4/3. - Multiply the two fractions with each other. In order to multiply the fractions, first, you need to multiply the numerator with each other. The product of these two fractions will be equivalent to the quotient of the division problem. (7/1) x (4/3) = 28/3 - Simplify the problem is necessary. If you have an improper fraction, your teacher might require some change to the mixed number. Usually, the teacher will ask you to reduce the fraction to its lowest possible terms. For example: 28/3 becomes 9 1/3
Printable Worksheets And Lessons
- Andrew's Chocolate
Step-by-step Lesson- Andrew shares some candy among his friends
at his birthday party.
- Guided Lesson -
Cold drinks at a New Year's party, grams of rice, and tennis balls.
Just another day in the wonderful world of math.
- Guided Lesson Explanation
- We show you how to setup those reciprocal based problems.
- Practice Worksheet
- A nice solid mix of problems that give you a lot to think about.
- Matching Worksheet - Finally, quotients that come out to be whole numbers.
Some of these problems are truly challenging. I found myself triple checking the answers.
- Homework 1 - Richard bought a packet of wafers which is 1/6 of a pound. He fills 2 bowls with these wafers in equal amounts. What is the weight of each bowl?
- Homework 2 - Denise had 1/2 of a pound of cookies. She gave the cookies equally to her 2 daughters. How much did each daughter get?
- Homework 3 - Bailey made a 1/4 of a pound of donuts. He divided it equally into 2 pieces. What was the weight of each piece?
I definitely encourage children to draw a picture when working on these problems.
- Practice 1 - Isabel had 1/6 of a pound of pastry. She has to divide it equally into 4 pieces. What was the weight of each piece of pastry?
- Practice 2 - Brett bought vermicelli that weighed 2/4 of a pound. He distributes the vermicelli into 5 bowls. What is the weight of each bowl?
- Practice 3 - Rose had 1/3 of a bowl of a hot chocolate. She gave that to her 4 friends. How much of the hot chocolate did each friend get?
Math Skill Quizzes
Again we see how the kitchen and math class meet again.
- Quiz 1 - Remo bought a muffin that weighed 1/6 of a pound. He distributes the muffin into 3 equal parts. What is the weight of each friend’s muffin?
- Quiz 2 - Joel had 1/5 of a bundle of candles. He gave it to his 3 friends. How much of the bundle did every friend get?
- Quiz 3 - Sienna had 1/3 of a pound of popcorn. She has to divide it equally among 7 bowls. What is the weight of each bowl of popcorn?