1 / 29

Introduction to Fractions

Introduction to Fractions. Introduction to Fractions. The numerator is the top part of the fraction. . Introduction to Fractions. The denominator is the bottom part of the fraction. . Introduction to Fractions.

darva
Download Presentation

Introduction to Fractions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Introduction to Fractions

  2. Introduction to Fractions • The numerator is the top part of the fraction 

  3. Introduction to Fractions • The denominator is the bottom part of the fraction 

  4. Introduction to Fractions • Proper fraction: a fraction in which the numerator is less than the denominator • Improper fraction: a fraction in which the numerator is greater than or equal to the denominator

  5. Introduction to Fractions • Mixed number: a number with both a whole number and a fraction; another way to write an improper fraction • All improper fractions can be written either as mixed numbers or as whole numbers. or In a mixed number, the fractional part will always be a proper fraction.

  6. Introduction to Fractions • Equivalent Fractions: fractions with the same value • You can create an equivalent fraction by multiplying or dividing the numerator and denominator by the same number.

  7. Introduction to Fractions

  8. Introduction to Fractions • Simplifying/Reducing Fractions: A fraction is simplified when it is written in “lowest terms” – when there is no equivalent fraction using smaller numbers. • To determine whether a fraction can be simplified, you must ask, “is there a number that can go into both the numerator and denominator evenly?”

  9. Reducing Fractions • Example: • Simplify

  10. Reducing Fractions • Example: • Simplify Is this fraction reduced to lowest terms?

  11. Reducing Fractions

  12. Converting Fractions Into Decimals • To convert a fraction into a decimal, simply divide the numerator by the denominator. • If it was a proper fraction, you’ll end up with a number less than 1 whole • If it was an improper fraction, you’ll end up with a number that is more than one whole

  13. Converting Fractions Into Decimals • Divide 12 by 20 • So written as a decimal is .6

  14. Converting Fractions Into Decimals Divide 9 by 8 - 8 10 - 8 20 - 16 40 - 40 00 So, written as a decimal is 1.125

  15. Converting Decimals Into Fractions • To convert a decimal into a fraction, take the final digit’s place value and turn it into the denominator. Reduce if necessary. • Example: Convert .14 into a fraction

  16. Since there are 2 digits in 14, the very last digit is the "100th" decimal place. • So we can just say that .14 is the same as • The fraction is not reduced to lowest terms. We can reduce this fraction to lowest terms by dividing both the numerator and denominator by 2. So, .14 written as a fraction is:

  17. Converting Decimals Into Fractions • To convert a decimal into a fraction, take the final digit’s place value and turn it into the denominator. Reduce if necessary. • Example: Convert .25 into a fraction .25 is equal to

  18. Converting between mixed numbers and improper fractions • Divide the numerator by the denominator: -12 1

  19. Converting between mixed numbers and improper fractions whole number -12 denominator  1 numerator stays the same The quotient becomes the whole number and the remainder becomes the numerator. The denominator stays the same.

  20. Converting between mixed numbers and improper fractions whole number -12 denominator  1 numerator stays the same So 13/5 written as a mixed number would be

  21. Converting Between Mixed Numbers And Improper Fractions • If you have a whole number, you can write it as a fraction by placing it over the number one.

  22. Converting between mixed numbers and improper fractions • To convert a mixed number to an improper fraction follow this method: 17 + 15 The denominator x stays the same

  23. Converting between mixed numbers and improper fractions 17 15 + The denominator stays the same x So becomes

  24. Multiplying Fractions • To multiply fractions, just multiply across the top and the bottom and then reduce if necessary. =

  25. Dividing Fractions • To divide fractions, flip (invert) the second fraction and then multiply. Reduce the answer if necessary. If you get an improper fraction as an answer, it’s considered simplified form to convert it into a mixed number.

  26. Dividing Fractions

  27. Dividing Fractions

  28. Introduction to Fractions • Do page 124 in the book and check your answers against the answer key on BB. • You should now be able to complete pages 13-14 in the GED Practice Packet. • When you are done, enter your answers on the answer sheet on BB to find out how you did. *Remember that the word “of” in a word problem usually indicates multiplication. For example, if you wanted to find 1/3 of 15 you would multiply:

More Related