Lesson 14 Represent Division of Whole Numbers by Unit Fractions

Warm-up Number Talk: Increasing Quotients

Find the value of each expression mentally.

Set A: Find the value that makes each equation true. Draw a diagram if it is helpful. What patterns do you notice?

Set B: Find the value that makes each equation true. Draw a diagram if it is helpful. What patterns do you notice?

What is the same about problem set A and B? What is different?

Match each problem to an expression that represents the problem. Some expressions will not have a match. Be prepared to explain your reasoning.

$\frac{1}{4} \div 3$

$\frac{1}{2} \div 5$

$3 \div \frac{1}{4}$

$\frac{1}{4} \div 2$

$5 \div \frac{1}{2}$

$2 \div \frac{1}{4}$

One serving of popcorn is $\frac{1}{4}$ cup of kernels. There are 3 cups of kernels in the bowl. How many servings are in the bowl?
One serving of orange juice is $\frac{1}{4}$ liter. The container of juice holds 2 liters. How many servings are in the container?
One serving of granola is $\frac{1}{2}$ cup. The bag of granola holds 5 cups. How many servings are in the bag?
Find the value of each expression.

Find the value of each expression.