Presentation on theme: "Fractions and Decimals"— Presentation transcript:
1 Fractions and Decimals Lesson 3.9Fractions and DecimalsSSS: M.A.A M.A.A.1.3.4
2 Warm Up Write as an Improper Fraction: Write as a Mixed Number (Simplest Form):1)=3)=4)2)==*Remember:Whole number: # of times denominatorgoes into numerator.Numerator = the remainder after dividingDenominator stays the same*Remember: (around the world with TP)Numerator = bottom Times whole Plus topDenominator stays the same
3 To change a fraction to a decimal, divide the numerator by the denominator. Example:== .625*Remember:The top number ALWAYS gets “caught” in the division box.Also: when dividing don’t forget your decimal, line up your answer, and add zeros as needed to bring down.
4 Here is another example and a few to try Here is another example and a few to try. *remember- divide the numerator by the denominator.Example:Now you try a few:1.2.3.
5 A decimal that stops or “terminates” is a terminating decimal If the same block of digits in a decimal repeats without end, the decimal is a repeating decimalShow a repeating block by putting a bar over the repeating digits.==Example:
6 3.03003000300003… Is this a repeating decimal???? (.18181818…) = = Try a few:( …)1)=2)=( …)3)=( …)
7 Changing a Decimal into a fraction First write the number on the left of the decimal as the whole number.Next, write the decimal amount as anumerator.Then for the denominator write thenumber 1 and add a zero for each placevalue to the right of the decimal.Finally: simplify the fraction if necessary.2.48Example:==
8 Try a few… Change the following decimals into fractions: 1) 4.7 2) *Don’t forget to simplify1)4.72)9.753)1.36
9 Comparing Fractions and Decimals To compare values:First, change ALL to either decimals or fractions.Then, compare and write your listaccording to directions…least to greatestor greatest to least.Finally, write the list in the original formthat it was in the problem.
10 Here is one to try… Put the following in order from least to greatest 3.23, , 5.75, ,3.23, , , , 5.75