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## PowerPoint Slideshow about ' Equivalent Fractions and Multipliers' - cira

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How many equivalent fractions for 3/5 can you make?

- Turn to page 89 in your activity book!
- What do you see at the top of the page?
- What does row 3 in each table show?
- Multiples of 3
- What does row 5 in each table show?
- Mutliples of 5
- Think of the numbers in row 3 as numerators and the numbers in row 5 as denominators.
- Why is 3/5 equivalent to 6/10?
- Both numerator and denominator of 3/5 have been multiplied by 2.

Look at the row of fractions at the bottom of the first table.

- The first fraction, 3/5, is in the simplest fraction. Why can’t we write it with smaller numbers for the numerator or denominator?
- You can’t divide both numbers by the same whole number to make them smaller.
- What are the multipliers for the fractions, as you look across the row?
- 2,3,4,5,6,7,8,9,10
- Write the multipliers below each fraction. Where do you see the multipliers in the table?
- In the top row

X2 x3 x4 x5 x6 x7 x8 x9 x10

- Use this table as we discuss simplifying and unsimplifying fractions.
- How can you change 3/5 to 18/30?
- Multiply the numerator and denominator by 6
- How can you simplify 18/30?
- Divide the numerator and denominator by 6
- How can you change 3/5 to 27/45?
- Multiply the numerator and denominator by 9
- How can you simplify 27/45?
- Divide the numerator and denominator by 9

Remember…

- When you divide the numerator and denominator to make them smaller, you are simplifying the fraction to make larger unit fractions.
- Multiplying the numerator and denominator unsimplifies the fraction by making smaller unit fractions.
- The two fractions still represent the same number, they are still the same part of the whole.
- That’s why we call them equivalent fractions!

Look at the second multiplication table on page 89 in your activity book

- What is the simplest way to express this fraction?
- 4/7
- If I need a fraction equivalent to 4/7 with a denominator of 56, what will the numerator be?
- 32
- How did you get 32?

- If I need a fraction equivalent to 4/7 with a numerator of 24, what will the denominator be?
- 42
- How did you get 42?
- Complete exercises 1-4 on your own!
- Let’s complete page 90 together.
- Look at the fraction bar for 5/6
- How can you modify the bar to show twelfths?
- How can you modify the bar to show twenty-fourths?

x6

Generate Equivalent Fractions

- Starting with the fraction 3/8 complete the fraction chain. Include multipliers!

X2 x3 x4 x5 x6 x7 x8 x9 x10

X2 x3 x4 x5 x6 x7 x8 x9 x10

- Pretend that these fractions represent slices of the same-sized giant pizza.
- The fraction circled in orange will represent the fraction of the pizza the girls receive.
- The fraction circled in green will represent the fraction of the pizza the boys receive.
- What does each denominator represent?
- The total number of slices
- What does each numerator represent?
- The number of slices that the boy or girl gets

X2 x3 x4 x5 x6 x7 x8 x9 x10

- Orange = girls
- Green = boys
- Who gets more slices?
- Girls
- Who gets larger slices?
- Boys
- Who gets a larger amount, the girls or the boys? Why?

X2 x3 x4 x5 x6 x7 x8 x9 x10

- Orange = girls
- Green = boys
- What does the boys’ multiplier mean?
- They have 3 times as many slices as the 3/8 of a pizza. Each slice is only 1/3 as large.
- What does the girls’ multiplier mean?
- They have 5 times as many slices as the 3/8 of a pizza. Each slice is only 1/5 as large.

Homework

- Homework and Remembering page 127

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