# Converting fractions to decimals

## 📖 Standard

CCSS.MATH.CONTENT.7.NS.A.2.D Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.

30-40 minutes

## 📲 Technology Required

A projector or smart board is required to show the Google slides presentation in class. It can also be shown using any web meeting software for remote learning. The random candy generator can be used by students in anything with a browser, including computers, tablets or phones. This activity is optional. It’s actually more fun with fun-size bags of candy like Skittles or M & M’s.

## 📃 Summary

Students watch a video or hear a presentation explaining using long division to convert fractions to decimals. A second method of using place value is discussed when the denominator is tenths, hundredths or thousandths. Students then play a game that teaches converting fractions to decimals and end with an activity finding the decimal representing each color in a bag of candy. A simulator is included if no bags of candy are available!

## 📚 Lesson

### EITHER watch the video below

This is a 7-minute video that gives the steps in converting fractions to decimals, with multiple examples, using both long division and place value.

### OR Use this Google Slides Presentation

The Google slides presentation covers the same material as the video with the same examples. The steps in the long division problems are animated in the presentation. If you prefer a PowerPoint presentation you can find that here. Both can be viewed from these links or you can copy into your own Google drive or download to modify for your class.

The presentation and video both include two sample problems to work as a class.

NOTE: The presentation includes an activity converting fractions to decimals using candy or a random sample application.

## Play a Game

### On mobile devices

Play the Empiric Empire game for 10 minutes. This game teaches fractions and decimals in the context of concepts from epidemiology such as prevalence, incidence and mortality rate. This game is available for iPad, iPhone or Android.

### On Chromebook

Don’t have any of those devices? Play the Minnesota Turtles game for five minutes. After the game (it’s short), assign these problems:

1. The game says that 5/9 = 56% – prove it using long division. Is this a repeating or terminating decimal? HINT: Remember that 56% = .56
2. The game says that 4/9 = 44% – prove it using long division. Is this a repeating or terminating decimal?

### Convert fractions with Candy

The Google Slides/ Powerpoint ends with an activity where students use a pack of candy to find fractions, convert those fractions to decimals and graph the result. If you don’t have time / forgot to buy bags of candy, you can use a simulator here. Random fact: The average fun-size bag contains 12 pieces of candy. There is a link for plain graph paper in the slides. If you’d prefer graph paper with fractions and decimals already entered, this page is divided into sixteenths.

## Assessment

This lesson includes three types of assessment. There are the problems completed together in class, included within the presentation or video. There are the problems completed within the Empiric Empire game which you can see in the teacher reports. Alternatively, there are the two problems assigned after the Minnesota Turtles game. There is also an assessment at the end of the slides using different colors of candy to convert fractions to decimals and chart the results.

## Individualization

Assign this problem to more advanced students:

Think back to what we learned in the previous lesson about fractions, decimals and percentages being three different ways of looking at the same number. You answered the two questions below. What is a different way to prove that 4/9 = 44%/

1. The game says that 5/9 = 56% – prove it using long division. Is this a repeating or terminating decimal? HINT: Remember that 56% = .56
2. The game says that 4/9 = 44% – prove it using long division. Is this a repeating or terminating decimal?