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Converting Between Decimals and Fractions: A Comprehensive Guide

In this lesson, we will learn how to convert decimals to fractions and vice versa. You will discover the significance of place value in determining the denominator of a fraction and how to handle whole numbers before the decimal point. We will cover practical examples, including cases when you cannot use a denominator of ten. By the end of this lesson, you'll have a clear understanding of both conversions and be able to apply these skills confidently in mathematical problems.

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Converting Between Decimals and Fractions: A Comprehensive Guide

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  1. Conversions Decimals to Fractions and Fractions to Decimals

  2. What are we learning? In this lesson you will learn how to convert decimals to fractions and fractions to decimals

  3. 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.

  4. How to Convert Decimals to Fractions .24

  5. How to Convert Decimals to Fractions .5 5 10 The 5 is in the tenths place

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

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

  8. What if there is a whole number before the decimalpoint? 25.5 The 5 is in the tenths place 5 25 10

  9. 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

  10. 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

  11. 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

  12. 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

  13. 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

  14. 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

  15. Suppose You Can’t Use A Denominator of 10? 5 Divide the Numerator by the Denominator 6

  16. Suppose You Can’t Use A Denominator of 10? 5 3 8 . .0 0 6 5 6 4 8 2 0 .83 18 2

  17. Suppose You Can’t Use A Denominator of 10? 2 6 . .0 3 2 3 1 8 2 .6

  18. Try Some . . . 7 5 6 8 50 10 3 12 3 4 16 40

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

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