4-9 6th grade math

1
4-96th grade math

• Relating Fractions and Decimals

2
Objective

• To write fractions as decimals and decimals as
  fractions.
• Why? To understand that fractions and decimals
  can be interchanged and have a direct
  relationship to each other. Some fractions
  values are easier to understand as decimals and
  some decimals values are easier to understand as
  fractions.

3
California State Standards

• NS 1.2 (Gr. 5) Find decimal equivalents
  for common fractions and explain why they
  represent the same value
• MR 3.3 Develop generalizations of the results
  obtained and the strategies used and apply them
  in new problem situations.

4
How to Change Fractions to Decimals

• 3
• 4
• 1) Divide the denominator into the numerator
• 2) Remember the rules of division.
• 3) Be sure all work is lined up correctly

• 3
• 4

0.75
4 3.00
-28 ?
02 0
20
5
How to Change Mixed Fractions to Decimals

• 3 ?
• Follow the same procedure for changing fractions
  to decimal
• AND now you need to put a whole number in front
  of the new decimal.

• 3 ?
• 3.75

6
How to Change Decimals into Fractions

• 0.65
• Numerator is the original number (w/o decimal)
• Denominator is the place value rules (number of
  spaces in the decimal number of zeros for place
  value)
• Simplify, if possible

• 0.65
• 65
• 100
• 65 5 13
• 100 5 20

7
Try It!

• 1)
• 2)
• 3)
• 4 0.15
• 4.15

• Write each fraction as a decimal
• 2/5
• 1/8
• 4 3/20

8
Try More!

• 4) 0.6
• 6
• 10
• 6 2 3
• 10 2 5
• 5) 0.08
• 8
• 100
• 8 4 2
• 100 4 25

• Write each decimal as a fraction.
• 4) 0.6
• 5) 0.08

9
Objective Review

• To write fractions as decimals and decimals as
  fractions.

• Why? You can now understand that fractions and
  decimals can be interchanged and have a direct
  relationship to each other. You may find that
  some fractions values are easier to understand
  as decimals and some decimals values are easier
  to understand as fractions.

10
Independent Practice

• Complete problems 7-14
• Copy original problem first.
• Show all work!

• If time, complete Mixed Review 15-21
• If still more time, work on Accelerated Math.