Unit rates with Fractions review

​Standards and objectives

​Standard NC.7.RP.1 : Compute unit rates associated with ratios of fractions to solve real-world and mathematical problems

​Learning Targets:

• I can convert rates expressed as unit fractions into unit rates

• I can convert rates expressed as simple fractions into unit rates

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Multiple Choice

What is a unit rate

• The number that you multiply by

• A number with a numerator and a denominator

• A rate where the denominator is one

• A comparison of two quantities

Multiple Choice

What is a complex fraction?

• A really hard fraction to figure out 
• A fraction with a fraction in the numerator, denominator, or both 
• A fraction multiplied by a decimal
• A fraction with an exponent 

Multiple Choice

$$\frac{1}{7}\ \div\ 5$$  

• $$\frac{7}{1}\ \times\frac{5}{1}$$  

• $$\frac{1}{7}\ \times\frac{1}{5}$$  

• $$\frac{1}{7}\ \div\ \frac{5}{1}$$  

​Example 1

​It takes Franky 3/10 of an hour to eat 1/4 of a pizza. How long does it take to eat an entire pizza?

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​-what goes in the numerator? (what is the first number that we divide by)

-what goes in the denominator (what is the second number that we divide by?)​

​Solve with division

​Solve with multiplication

​It takes Franky 3/10 of an hour to eat 1/4 of a pizza. How long does it take to eat an entire pizza?

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​-what do we want 1 of ?

-what can we multiply by to get 1?

-what are we going to multiply the other fraction by?​

Multiple Choice

Convert $$3\frac{1}{2}$$   to an Improper Fraction

• $$\frac{31}{2}$$  

• $$\frac{5}{2}$$  

• $$\frac{7}{2}$$  

• $$\frac{4}{2}$$  

Multiple Choice

Convert $$5\frac{2}{3}$$   to an Improper Fraction

• $$\frac{15}{3}$$  

• $$\frac{52}{3}$$  

• $$\frac{17}{3}$$  

• $$\frac{10}{3}$$  

Multiple Choice

Convert $$4\frac{2}{3}$$   to an Improper Fraction

• $$\frac{42}{3}$$  

• $$\frac{11}{2}$$  

• $$\frac{12}{3}$$  

• $$\frac{14}{3}$$  

Multiple Choice

Convert $$8\frac{1}{3}$$   to an Improper Fraction

• $$\frac{81}{3}$$  

• $$\frac{83}{1}$$  

• $$\frac{24}{1}$$  

• $$\frac{25}{3}$$  

• 1st convert your mixed numbers into improper fractions

• Use the same steps for solving for unit rates with fractions (either use multiplication or division)​

​Sandra can plant 2 and 1/6 trees in 5 and 1/3 hours. How many trees can she plant in 1 hour?

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Multiple Choice

It takes a turtle 3 ¼ hours to walk 1 ½ miles. How many hours does it take to walk one mile?

• 6/13 hours

• 39/8 hours

• 13/6 hours

• 8/39 hours

Multiple Choice

A recipe calls for 2/3 cup white sugar for every ¾ cup brown sugar. If I want to use 1 cup of white sugar, how much brown sugar should I use?

• 9/8 cups

• 1/2 cups

• 8/9 cups

• 2 cups

Multiple Choice

Lauren bikes 4/3 miles in 1/10 hour. How long does it take her to bike one mile?

• 15/2 hours

• 2/15 hours

• 40/3 hours

• 3/40 hours

Multiple Choice

A novelist can write 2 ¼ pages in 3/5 of an hour. What is her speed in pages per hour?

• 4/15 pages per hour

• 15/4 pages per hour

• 20/27 pages per hour

• 27/20 pages per hour

Multiple Choice

What is a unit rate?

• Two unlike things compared to each otehr 
• How often something occurs 
• A rate expressed as something per two
• A rate expressed as something per one

Multiple Choice

Paige mows 1/6 of an acre in 1/4 hour. How many acres does Paige mow per hour? 

• 6/4
• 2/3
• 2
• 3