Adding Fractions
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Adding Fractions

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Adding Fractions Adding Fractions Presentation Transcript

  • How do I add fractions to fractions? Fractions lesson 6 Integrated 1A
  • What is ?
    • One way to do this is to draw pictures and cut them up and combine them.
  • There is a better way
    • This is the part that confuses students most often.
    • You must sometimes change fractions to show the same type of parts.
    • Using equal fractions makes this easier.
    View slide
  • Let’s begin with equal fractions.
    • Let’s start with one half and make a list of equal fractions.
    Make a new fraction that is equal to one half. Multiply the top number (1) by 2. Multiply the bottom number by the same 2. View slide
  • Let’s multiply one half by
    • Now our list should look like this.
  • Add Another Fraction
    • Let’s add another fraction to our list in our notebook.
    • Start with the first number – one half. Multiply top and bottom by 4 this time.
    • Write the new fraction.
  • Add Another Fraction
    • What comes next? Write the new fraction.
  • Add More
    • Continue this list in your notebook.
    • What comes next? Write the new fractions.
  • Let’s multiply one third by
    • Now our list should look like this.
  • A new list
    • Start with one-third
    • Multiply the top and bottom by three. Do the same for the next one by multiplying one-third by four.
  • Going from the known to the unknown
    • In a previous lesson last week, you divided top and bottom by the same number.
    • You didn’t change the value of the fraction, just the appearance.
  • Is one-fourth equal to two-eighths?
  • Add these two fractions making them both a certain number of eighths We can’t easily add fourths to eighths so we find a number to multiply times four to get eight on the bottom. x2 x2
  • We are making a addition problem that becomes easier to work with. One eighth doesn’t need to be changed, So just rewrite it. x2 x2
  • Now add down the right side. Six-eighths plus one-eighth is how many eighths? 7
  • Get a worksheet (F6)
    • What is the least common multiple of four and 8?
    • (What is the smallest number in both lists?)
    • Use eight as your common denominator.
    Multiples of 4: 4, 8, 12, 16, 20, 24… Multiples of 8: 8, 16, 24, 32… Terms :
  • Make your denominators the same.
    • What can you multiply by four to get eight?
    • The bottom number is already in eighths, don’t change it
    x2 x2
  • Add.
    • Now add the column with the common denominators
    • Is five-eighths in simplest form?
    x2 x2
  • Worksheet #5
    • What is the least common multiple of 2 and 6?
    • (What is the smallest number in both lists?)
    • Use SIX as your common denominator.
    Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16… Multiples of 6: 6, 12, 18, 24, 30…
  • Make your denominators the same.
    • What can you multiply by two to get six?
    • The bottom number is already in sixths, don’t change it
    x? x?
  • Add down the right column.
    • Put your answer into simplest form, if necessary.
    x3 x3
  • Worksheet #9
    • What is the least common multiple of 5 and 10?
    • Use FIVE as your common denominator.
    Multiples of 5: 5, 10, 15, 20, 25, 30,… Multiples of 10: 10, 20, 30, 40, 50…
  • Make your denominators the same.
    • What can you multiply by five to get ten?
    • The bottom number is already in tenths, don’t change it
    x? x?
  • Is your answer in simplest form?
    • Add the numbers down the right column.
  •