Student Handouts
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Unit 3, Section C
Problem Solving with Fractions
Grade 5
Practice
Solve each problem. Write an equation.
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The container holds \(\frac{1}{2}\) gallon of water. It is \(\frac{3}{4}\) full. How many gallons of water are in the container?
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The container has \(\frac{1}{2}\) gallon of water. Six friends split the water equally. How many gallons of water does each friend get?
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The container holds 1 gallon of water. Each bottle holds \(\frac{1}{8}\) of a gallon. How many bottles of water does the container hold?
Clare has 5 yards of ribbon. It takes \(\frac{1}{2}\) yard to make a bow. How many bows can Clare make with the ribbon? Write a multiplication and division equation.
Problem 3
What is the greatest product you can make using the numbers 4, 5, 6, 7, 8, or 9?
\(\displaystyle \frac{\boxed{\phantom{\frac{000}{0}}}}{\boxed{\phantom{\frac{000}{0}}}} \times \frac{\boxed{\phantom{\frac{000}{0}}}}{\boxed{\phantom{\frac{000}{0}}}}\)
You can use each number only once. Explain or show your reasoning.
Problem 4
Exploration
- Each millimeter is \(\frac{1}{1,000}\) of a meter. There are 1,000 micrometers in a millimeter. How many meters is a micrometer? Explain or show your reasoning.
- There are 1,000 nanometers in a micrometer. How many meters is a nanometer? (A single human hair is about 50 micrometers thick. Nanometers are used to describe the size of atoms.)
Problem 5
Exploration
Jada wants to make a playpen for her dog with at least 70 square feet of space. She has 35 feet of fencing for the frame. Can Jada make a big enough playpen? Explain your reasoning.