Fractions as Division

Fractions as Division

By Kevvin Hankins

​Standard

Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?​

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​Learning Target

• Divide a fraction by a fraction.

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​The fraction line represents "divided by"

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The number being divided or "split up" is the numerator.

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Remember, fractions are division problems!

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3 Simple Steps to Divide Fractions: 3/4 ÷ 1/2

Step 1. Flip/invert the second fraction Step 2. Multiply the first fraction by that reciprocal Step 3. Simplify the fraction (if needed)

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Fill in the Blanks

Four students share 1 molten cake. How much molten cake does each student get? Write your answer as a fraction.

Multiple Choice

How do you write 5 divided by 3 as a fraction?

• $$\frac{5}{3}$$

• $$\frac{3}{5}$$

Multiple Choice

Which expression matches $$\frac{3}{5}$$ ? 

• $$5\div3$$  

• $$3\div3$$  

• $$5\div5$$  

• $$3\div5$$  

Multiple Choice

Mr. Bowler and his wife are going to equally share 3 brownies. How many brownies will they each get?

• 1 brownie

• 3 brownies

• $$\frac{2}{3}\$$ brownie

• $$\frac{3}{2}$$ brownie

Multiple Choice

The art club used 5 gallons of paint to decorate 12 chairs. How much paint was used on each chair?

• $$\frac{5}{12}$$ gallon

• $$\frac{12}{5}$$ gallons

• $$\frac{1}{2}$$ gallon

• $$\frac{7}{8}$$ gallon

Multiple Choice

A pitcher of fruit punch holds 3 gal. If 7 people share the punch, how much does each person get?

• 7/3 gal

• 3/7 gal

• 1/2 gal

• 1/7 gal

Multiple Select

Which fraction matches $$9\div8$$ ? 

• $$\frac{8}{9}$$  

• $$\frac{9}{8}$$  

• $$1\ \frac{1}{8}$$

• $$\frac{9}{9}$$  

Open Ended

Describe in words a situation that can be represented by 7 divided by 2 or 7/2.