Dividing Fractions Word Problems
Aligned To Common Core Standard:
Grade 5 Fractions - 5.NF.7
Tips on Fraction Division - Working with whole numbers is easy, but getting familiar with the fractions is a bit complicated. The majority of the fractions, when simplified, are converted into decimal numbers. There are multiple methods of doing fraction division. However, the easiest and most common of all is the "invert and multiply" method. Divide the fraction, invert, and multiply. In order to divide the fractions, you need to take the reciprocal, i.e. inverted fraction of the divisor and multiply it with the dividend. Multiply the numerators with the denominators. Simplify the fractions if it's necessary. This is one of the quickest methods of dividing fractions. The top and bottom numbers are being multiplied with the same number. Since the number is the reciprocal of its bottom part, the bottom automatically becomes one. Dividing anything by one eventually leaves the value untouched and unchanged.
Printable Worksheets And Lessons
- Tara's Licorice Step-by-step Lesson- How much licorice will each girl on the soccer team get?
- Guided Lesson - Slices of pizza, marbles in a bag, and a big old pile of receipts make for some great word problems.
- Guided Lesson Explanation - We work mostly to start with like fractions and then proceed from there.
- Practice Worksheet - I had to adjust the font to get it to be one printable page for you.
- Matching Worksheet - Match the quotient-based word problems to their final outcome.
There are lots of problems that involve sweets here. I had a bit of sweet tooth that day (chocolate craving). When you hit 60, you'll understand!
- Homework 1 - Rosey has a box of chocolates. She has 3/8 of the chocolate in the box. She wants to share this box with her 3 friends. How much of the box will each friend get? You would approach this word problem by dividing 3 into the fraction.
- Homework 2 - Jasper bought 3/4 of a pound of cake. If his 2 children share this equally, how much will each child get? Students have dificulty when dividing fraction in half, but remember that it is the same thing as multiplying by one half.
- Homework 3 - Lanchlan has a box that is 3/6 full of candies. He then evenly separated the box among 20 children. How much of the candies will each child get?
I used to tackle these types of problems at dinner on Fridays when we have guests over. Especially when the conversation got a little stale or someone walked away for a bit. It usually make the math easy and take food last.
- Practice 1 - William has 2/3 of the goggles. He divides the goggles among 7 friends. How much of the goggles will each friend get?
- Practice 2 - Ella has 3/8 kg of baby corns. She wants to share the baby corns among 6 friends. How much of the baby corns will each friend get?
- Practice 3 - 10 people share 2/6 of a pound of the ice cream. How much of a pound of the ice cream will each person get?
Math Skill Quizzes
It is amazing how food and culinary type situations lend themselves to fraction-based math.
- Quiz 1 - Audrey made muffins for her children. She made 3/6 of a pack of muffins. She distributes the muffins equally among 5 children. How much of a pack of muffins will each child get?
- Quiz 2 - Zac bought a bag of sugar candy. He wants to share this bag with his 4 friends. The bag has 2/8 of a kg of sugar candies. How much of the sugar candy will each friend get?
- Quiz 3 - Chelsea has 5/7 of a box of candles. She wants to share the box among 6 friends. How much of the box will each friend get?