Fractions & decimals

1. Fractions & Decimals

2. __.__ __ __ __ Three and four tenths Five and twenty five hundredths Two and five tenths Reviewing place value

3. Now use that information to convert to a fraction. When you are converting from decimal to a fraction….. The whole number stays the whole number 3.4 3 The number to the right of the decimal is your numerator 3.4 3 4/ The denominator will depend on the place value of the decimal. The four is in the tenths place…..so your denominator is 10 3.4 3 4/10 Once you have completed this process make sure your fraction is in lowest terms / simplest form 3 2/5 5.75 = 5.25 = 2.5 =

4. You try! You have 3 minutes GO! 45.65 58.02 5.1 3.6 789.45 12.5

5. Now lets go from fractions to decimals You need to keep in mind your place value. 2 3/10 = this fraction is read as two and three tenths. The whole number goes in front of the decimal 2 3/10 = 2. Make sure the denominator is in tenths, hundredths, thousandths….. 3/ 10 The numerator will end in the place value position of the denominator, for 3/ 10 the 3 is in the tenths .3 Then you put your number together. 2 .3 3 42/100= 5 5/1000= 2 3/ 10 Whole # Decimal

6. What if the denominator does not end in tenths, hundredths, or thousandths? ¼= 3/5= 24/30=

7. You try! You have 3 minutes GO! 13/100= 72/100= ¾= 5 75/100= 3/1000= 17/20= 42 19/25=

8. What to do when that doesn’t work……Go bottoms up and divide Remember that a fraction is a division problem . Here are the steps… You will set up your fraction ( 5 / 8 ) as a division problem. The numerator in the dividend 5 The denominator is the divisor 8 Put in zeros as place holders 8 5.000 Make sure to pull your decimal up into the quotient. Then do the division. 8 5.000

9. 8 5.000

10. Lets practice 4/9 5/8 10/11

11. Your turn! GO! 5/6 3/8 4/11 7/8

12. Common equivalents Here are some common decimal and fractions equivalents. ½ = .5 1/3 = .3 ¼ = .25 1/5 = .2 2/3 = .6 ¾ = .75