Dividing Fractions and Decimals

7th Grade•20 minutes•Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units.Recognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table, or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. Represent proportional relationships by equations.

Learning Objective

I can divide fractions and decimals to solve real-world problems.

Key Concepts

A mixed decimal has a whole number and decimal digits.

When dividing by a mixed decimal, you must first make the divisor a whole number by multiplying by a power of 10.

Whatever you do to the divisor, you must also do to the dividend when dividing by mixed decimals.

Practice Questions

This lesson includes 3 practice questions to reinforce learning.

View questions preview

1. Explain the first step in dividing 15.75 by 2.5. Why is this step necessary?

2. Sarah has 22.5 meters of fabric to make costumes. Each costume requires 2.5 meters of fabric. How many costumes can Sarah make? Show your work.

3. Which expression represents the correct setup for dividing 4.32 by 1.2 after adjusting the decimal places?

Educational Video

How to Divide by Mixed Decimals | Dividing Decimals | Math with Mr. J

Math with Mr. J

Create Your Own Lesson

Generate a custom lesson plan like this one in minutes with Insta~Lesson

Get Started Free