Conversions Decimals to Fractions and Fractions to Decimals.

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Presentation transcript:

Conversions Decimals to Fractions and Fractions to Decimals

Changing decimals to fractions 6.1.1.4 Determine equivalences among fractions, decimals, and percents; select among these representations to solve problems. 6.1.1.7 Convert between equivalent representations of positive rational numbers.

I can… Write a decimal as a fraction Self Assessment 5- I can do it without help & teach others. 4- I can do this with no help, but I don’t know if I can explain it. 3- I can do this with a little help. 2- I can do this with a lot of help! 1- I don’t have a clue.

How to Convert Decimals to Fractions Use the place value of the last digit in the number to determine what the denominator of the fraction will be.

How to Convert Decimals to Fractions .24

How to Convert Decimals to Fractions .5 Be sure that your REDUCE your answers!!! The 5 is in the tenths place 5   10

How to Convert Decimals to Fractions .84 The 4 is in the hundredths place 84   100

What if there is a whole number before the decimal point? 1.589 The 9 is in the thousandths place 589 1 1000

What if there is a whole number before the decimal point? 25.5 The 5 is in the tenths place 5   25 10

How to Convert Fractions to Decimals 23 This is the hundredths place so the 3 needs to be in the hundredths place. 100 2 3 .23

How to Convert Fractions to Decimals 4 This is the thousandths place so the 4 needs to be in the thousandths place. 1000 4 .004

Try Some . . .   .95   .25   .35 .6     .875   .125

I can… Write a decimal as a fraction Self Assessment 5- I can do it without help & teach others. 4- I can do this with no help, but I don’t know if I can explain it. 3- I can do this with a little help. 2- I can do this with a lot of help! 1- I don’t have a clue.

in your math notebook Daily Check 5.7 Write the decimal as a fraction or mixed number in simplest form. 0.12 3.05 0.5 0.432 8.48 7.4