4­5 Fractions and Decimals.notebook

1

November 15, 2013

Dec 6­3:34 PM

4­5: Fractions and DecimalsPlease have your homework assignment out on your desk.You have 5 minutes to complete the problems below.

Nov 15­8:06 AM

Homework 194­195 #'s 18­28,30­34

18. 15/43

19. 5/7

20. 9/20

21. 2/5

22. 2/15

23. 1/5

24. 1/4

25. 3/4

26. 2/15

27. 1/3

28. 1/52

30. Various answers

31. No, they can both be divided by 2

32. Nhu is correct, 4 is bigger than 2

33. The denominator is 1

34. D

Title

© 2008 SMART Technologies ULC. All rights reserved. 

Extraordinary made simple TM

Fractions and Decimals

2009

3­5

Main Idea: Write fractions as terminating or repeating decimals and write decimals as fractions.Vocabulary:• terminating decimal­ A decimal whose digits end. Every terminating decimal can be written as a fraction with a denominator of 10,100,1000, and so on.• repeating decimal­ A decimal whose digits repeat in groups of one or more. • bar notation­ In repeating decimals, the line or bar placed over the digits that repeat.

relationship to tenths

Converting Fractions to Decimals

There is a relationship between fractions and decimals.

410 = 0.4 four tenths

35100 = 0.35 thirty five hundredths

What is written as a decimal? 57100Touch here to

try one

Pull

Pull

Create equiv fraction to tenths or hdths

Converting Fractions to Decimals

The easiest way to convert fractions to decimals is when possible create an equivalent fraction with tenths or hundredths.

3 5 = 6

10 = 0.6

520 = 25

100 0.25 =

0.4

Practice problems

Converting Fractions to Decimals Example Problems

1 4 =

= 15 20

3 25

=

0.4

1

2

3

4­5 Fractions and Decimals.notebook

2

November 15, 2013

dividing to determine decimal

Converting Fractions to DecimalsUsing Division

When you cannot easily change the denominator to either 10 or 100, you need to use division to find the decimal.

Think of the fraction bar as a division symbol. 3 8 = three divided by 8

8 3.0000.375

Practice division problems

Converting Fractions to DecimalsUsing Division

1

2

3

1 8 = 2 3 =

5 8 =

Practice division problems

Converting Fractions to DecimalsUsing Division

1

2 138

311

Practice division problems

Converting Decimals to Fractions

1

2

3

0.22

.1

4.6

Mar 19­7:45 AM

4 5

3 4 0.2 2

5

0.4 0.5 1 4 0.25

0.75 1 5

0.8 1 2

Find the Matching Set

Dec 6­3:34 PM

Assignment: p. 199­200, # 12­36 even, 47,48

4­5 Fractions and Decimals.notebook

3

November 15, 2013

Solutions Title Page

The following page(s) contains the answers to the tasks in the lesson activity.

Practice solutions

Converting Fractions to Decimals Example Problem Solutions

1

2

3

3 25

= 12 100 = 0.12

15 20

= 75 100 = 0.75

1 4

= 25 100 = 0.25

Practice solutions for division

Converting Fractions to Decimals Example Problem Solutions

1

2

3 0.625

0.667

0.125