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Improper Fractions and Mixed Numbers

Improper Fractions and Mixed Numbers. TEK Used:. 5th Grade Mathematics (5.2)  Number, operation, and quantitative reasoning. The student uses fractions in problem solving situations. The student is expected to:

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Improper Fractions and Mixed Numbers

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  1. Improper Fractions and Mixed Numbers

  2. TEK Used: 5th Grade Mathematics (5.2)  Number, operation, and quantitative reasoning. The student uses fractions in problem solving situations. The student is expected to: (B)  generate a mixed number equivalent to a given improper fraction or generate an improper fraction equivalent to a given mixed number

  3. Review: What are Fractions Anyway? Fractions consist of two numbers. The top number is called the numerator. The bottom number is called the denominator.   numerator   denominator

  4. Now let us move onto Improper Fractions.What do they consists of? An improper fraction is a fraction that has a numerator larger than or equal to its denominator. Example: 6 numerator 3 denominator

  5. What does a Mixed Number look like? -A mixed number consists of an integer followed by a proper fraction. -But wait, what is a proper fraction again? -A proper fraction is a fraction with the numerator smaller than the denominator. Example: 2 numerator 3 denominator

  6. Back to Mixed Numbers. What exactly do they look like? -A mixed number consists of an integer followed by a proper fraction. -Remember, an integer is just a whole number. -Example: 6 2 3 -6 is our integer or whole number and 2 is our proper fraction. 3 -Together they make a mixed number.

  7. Converting Mixed Numbers to Improper Fractions • First, you take the mixed number and multiply the denominator by the whole number. • Then you add the numerator to that answer. 3. The denominator just stays the same.

  8. Let us work it out For example: • 3 1=whole # 3=numerator 4=denominator 4 1. First, you take the mixed number and multiply the denominator by the whole number. 4x1=4 2. Then you add the numerator to that answer. 4+3=7 3. Then just add on the denominator . Remember the denominator just stays the same. 7 4

  9. Converting Improper Fractions to Mixed Numbers 1. The first thing you need to do is divide the numerator by the denominator.  • Then you take the quotient/answer and use that as the whole number. • Then, take the remainder and use  that as the numerator. • Finally, take the number you divided by and  use that as the denominator.

  10. Let us work it out For example: 3 Remember 3=numerator & 2=denominator 2 1. The first thing you need to do is divide the numerator by the denominator.  3÷2=1 (Quotient) with a remainder of 1 • Then you take the quotient/answer and use that as the whole number. (In this case it would be 1) • Then, take the remainder and use  that as the numerator. So now we have 1 3 x (we don’t know yet) 4. Finally, take the number you divided by and  use that as the denominator. Now we have the mixed number 1 3 2

  11. Resources TEKS came from : http://www.tea.state.tx.us/rules/tac/chapter111/c 111a.html#111.17 Math Problem and definitions came from: http://www.aaamath.com/fra57cfract2mixedld.html http://library.thinkquest.org/J002328F/impmix.htm Pictures came from: http://www.sxc.hu/

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