Fractions and Decimals By Kari Knisely

Introduction Objective: The learner will understand how fractions and decimals are equivalent as well as how to convert between fractions and decimals. Target Audience: The intended audience includes middle school 7th grade math students. Viewable: Having access to the Internet will allow you to view this presentation or you can download to view as well if PowerPoint is an application on your computer. Duration: The lesson should take approximately 20 minutes to complete.

Table of Contents Fractions Decimals Convert a fraction to a decimal Convert a decimal to a fraction Examples Practice Conclusion

Fractions

Fractions 1 4

Decimals 0.25

Fractions = Decimals 1 4 = 0.25

What is a fraction?

Part vs Whole Part = How many pieces are shaded?

Part vs Whole Part = How many pieces are shaded? 1

Part vs Whole Part = How many pieces are shaded? 1 This number will be your numerator 1

1 Part vs Whole Part = How many pieces are shaded? 1 This number will be your numerator 1 1

Part vs Whole Whole = How many pieces is the whole divided into? 1

Part vs Whole Whole = How many pieces is the whole divided into? 1 1

Part vs Whole Whole = How many pieces is the whole divided into? 1 2 1

1 Part vs Whole Whole = How many pieces is the whole divided into? 1 2 3 1

1 Part vs Whole Whole = How many pieces is the whole divided into? 1 2 4 3 1

1 Part vs Whole Whole = How many pieces is the whole divided into? This number will be your denominator 1 2 4 3 1

1 4 Part vs Whole Whole = How many pieces is the whole divided into? This number will be your denominator 1 2 4 3 1 4

Decimals

What is the value with decimals? If you had $1.00, and had to divide it evenly between the 4 pieces, how much would go in each piece?

$1.00 divided into 4 pieces

$1.00 divided into 4 pieces .25

$1.00 divided into 4 pieces .25 .25

$1.00 divided into 4 pieces .25 .25 .25

$1.00 divided into 4 pieces .25 .25 .25 .25

What is this with decimals? If you had $1.00, and had to divide it evenly between the 4 pieces, how much would go in each piece? .25 .25 .25 .25

What is this with decimals? If you had $1.00, and had to divide it evenly between the 4 pieces, how much would go in each piece? .25 .25 .25 .25 Each piece is worth .25

Converting Fraction to Decimal

Converting a Fraction to a Decimal When given a fraction and you need the decimal conversion - Divide the numerator by the denominator.

Converting a Fraction to a Decimal When given a fraction and you need the decimal conversion - Divide the numerator by the denominator. 4 5 0.8 =

Converting Decimal to Fraction

Converting a Decimal to a Fraction When given a decimal and you need the fraction conversion Numerator The digits to the right of the decimal point Denominator The place value of the last digit 3. Simplify into simplest form if necessary

Converting a Decimal to a Fraction Numerator will be the digits to right of decimal point.

Converting a Decimal to a Fraction 24 Numerator will be the digits to right of decimal point.

Converting a Decimal to a Fraction Hundredths Ones Tenths 24 Denominator will be place value of last digit.

Converting a Decimal to a Fraction Hundredths Ones Tenths 24 100 Denominator will be place value of last digit.

Converting a Decimal to a Fraction Simplify if needed…. - Divide top and bottom by same number til you can’t anymore 24 ÷ 4 = 100

Converting a Decimal to a Fraction Simplify if needed…. - Divide top and bottom by same number til you can’t anymore 24 6 25 ÷ 4 = 100

Examples

Fractions = Decimals = .60 = .66 = .50

Practice

1. What fraction represents this picture? (select your answer) 6 4 C. 2 4 B. 4 6 D. 4 2

1. What fraction represents this picture? 6 4 C. 2 4 B. 4 6 D. 4 2 GREAT JOB!

1. What fraction represents this picture? 6 4 C. 2 4 1 6 2 5 3 4 B. 4 6 D. 4 2 4 shaded pieces 6 total pieces

2. How do we divide the fraction into a decimal? (select your answer) 4 6 A. 6 4 B. 4 6

2. How do we divide the fraction into a decimal? Great Job! 4 6 A. 6 4 B. 4 6

2. How do we divide the fraction into a decimal? 4 6 A. 6 4 Remember: Numerator inside Denominator outside B. 4 6

Conclusion You have learned the basics of fraction and decimal equivalency as well as how to convert from one type of number to another. If you would like additional practice visit the following website. Fractions to Decimals Decimals to Fractions

Works Cited Images retrieved from google images