Rational Number Word Problems

This video tutorial covers part two of lesson 4.3 from the sixth-grade Go Math textbook. It includes various division problems involving real-life scenarios such as dividing iced tea, cutting ribbons, and calculating servings of trail mix and hamburgers. The tutorial also addresses finding dimensions of objects like picture frames and mirrors, and explains how to check the reasonableness of division results and correct errors in calculations.

How many servings of 3/4 cup can Jeremy make from 4 1/2 cups of iced tea?

• 7 servings

• 6 servings

• 8 servings

• 5 servings

If May has a ribbon that is 3 2/3 yards long, how many 2/3 yard pieces can she cut?

• 7 pieces

• 5 pieces

• 6 pieces

• 4 pieces

Does Dow have enough hamburger to make 10 quarter-pound hamburgers if he has 2 3/8 pounds?

• No, he can make 7

• Yes, he has enough

• No, he can make 9

• No, he can make 8

How many 3/4 cup servings can Zoe make from 5 1/2 cups of trail mix?

• 7 servings

• 9 servings

• 8 servings

• 6 servings

What is the width of a picture frame with an area of 30 1/3 square inches and a length of 6 1/2 inches?

• 4 1/3 inches

• 4 2/3 inches

• 5 inches

• 5 1/3 inches

Will a mirror with an area of 11 11/16 square feet fit in a 5-foot tall space if its width is 2 3/4 feet?

• No, it's too wide

• No, it won't fit

• Yes, it will fit

• Yes, but with little space left

How long will each piece be if Ramon cuts a 25 1/2 foot rope into 6 equal pieces?

• 5 feet

• 4 1/4 feet

• 4 3/4 feet

• 4 1/2 feet

What is the width of a set made from two boards with lengths of 6 feet and 5 1/2 feet, and a total area of 60 3/8 square feet?

• 6 feet

• 5 3/4 feet

• 5 1/2 feet

• 5 1/4 feet

What was Eric's mistake when dividing 14 2/3 by 2 3/4?

• Forgot to simplify

• Multiplied instead of divided

• Used wrong reciprocal

• Didn't convert to improper fraction

How can you find the missing number in 3 4/5 divided by 2 5/7?

• Use area model

• Multiply by 2 5/7

• Divide by 3 4/5

• Use reciprocal of 2 5/7