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# Equivalent Fractions and Multipliers - PowerPoint PPT Presentation

Equivalent Fractions and Multipliers. Day 92. 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

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### Equivalent Fractions and Multipliers

Day 92

• 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.

• 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… x8 x9 x10

• 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! 

• 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?

• x6 activity book

• 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 activity book

• 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 x8 x9 x10

• Homework and Remembering page 127