Exploring Unit Rates and Ratios in Multi-Step Problems

This video tutorial covers unit rates and complex fractions, explaining how to simplify complex ratios using division. It includes practical examples, such as comparing the leak rates of two barrels and analyzing the sodium content in different soups. The video concludes with a brief promotion of the teacher's Patreon account.

What is a complex fraction?

• A fraction with a decimal as its numerator

• A fraction with a fraction as its numerator, denominator, or both

• A fraction with a whole number as the denominator

• A fraction with a whole number as the numerator

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

What does the complex fraction 3/4 divided by 3 represent?

• 3/4 multiplied by 3

• 3/4 added to 3

• 3/4 divided by 3

• 3 divided by 3/4

Tags

CCSS.4.NF.B.4A

CCSS.4.NF.B.4B

How many sets of 15 minutes are there in an hour?

• 2

• 3

• 4

• 5

Tags

CCSS.4.MD.A.1

How do you convert 2/3 divided by 1/4 into a multiplication problem?

• Multiply 2/3 by 1/4

• Multiply 2/3 by 1/2

• Multiply 2/3 by 4

• Multiply 2/3 by 1/3

Tags

CCSS.6.NS.A.1

What is the leak rate of Barrel 1 in gallons per hour?

• 2 and 1/4 gallons per hour

• 2 and 1/2 gallons per hour

• 2 and 2/3 gallons per hour

• 2 and 3/4 gallons per hour

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

What is the reciprocal of 1/3?

• 1/4

• 1/3

• 3

• 3/1

Which barrel is leaking faster?

• Barrel 2

• Cannot be determined

• Both are leaking at the same rate

• Barrel 1

Tags

CCSS.6.RP.A.3A

How much sodium is in a 5.5-ounce serving of tomato soup?

• 100 milligrams

• 125 milligrams

• 750 milligrams

• 690 milligrams

Tags

CCSS.6.RP.A.3D

How do you convert 690 milligrams in 5.5 ounces to milligrams per ounce?

• Subtract 5.5 from 690

• Multiply 690 by 5.5

• Divide 690 by 5.5

• Add 690 to 5.5

Tags

CCSS.6.RP.A.3B

Which soup has less sodium per ounce?

• Tomato soup

• Cannot be determined

• Chicken soup

• Both have the same amount

Tags

CCSS.6.RP.A.3B