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## Conversions

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**Conversions**Decimals to Fractions and Fractions to Decimals**What are we learning?**In this lesson you will learn how to convert decimals to fractions and fractions to decimals**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**.5 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 decimalpoint?**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 3 2 .23**How to Convert Fractions to Decimals**567 This is the thousandths place so the 7 needs to be in the thousandths place. 1000 6 7 5 .567**How to Convert Fractions to Decimals**4 This is the thousandths place so the 4 needs to be in the thousandths place. 1000 0 4 0 .004**How to Convert Fractions to Decimals**2 This is the tenths place so the 2 needs to be in the tenths place. 10 2 .2**What if there is a whole number before the fraction?**567 This is the thousandths place so the 7 needs to be in the thousandths place. 3 1000 6 7 3 5 3.567**How to Convert Fractions to Decimals**34 This is the thousandths place so the 4 needs to be in the thousandths place. 24 1000 24.034**Suppose You Can’t Use A Denominator of 10?**5 Divide the Numerator by the Denominator 6**Suppose You Can’t Use A Denominator of 10?**5 3 8 . .0 0 6 5 6 4 8 2 0 .83 18 2**Suppose You Can’t Use A Denominator of 10?**2 6 . .0 3 2 3 1 8 2 .6**Try Some . . .**7 5 6 8 50 10 3 12 3 4 16 40**Try Some . . .**.95 .25 .35 .875 .125 .6