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**Picture this! Dividing by fractions**

solving 1¾ ÷ ½ with Pattern Blocks

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**Get out the pattern blocks**

We’ll use them to build 1 ¾ ÷ ½ and find out the answer

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**1 ¾ We have to build 1¾ 1¾ is a mixed number with a whole number part**

1 plus a fraction part

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**There’s a 4 in the denominator (fourths),**

1¾ so we’ll need to build something that can be covered by 4 equal, smaller things.

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**Since each blue rhombus is exactly covered by 2 triangles**

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**2 blue rhombi will be exactly covered by 4 triangles**

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**So let’s put 2 blue rhombi together and call it 1.**

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**Since 4 green equilateral triangles cover it exactly, we can call it 4/4 (four fourths)**

4/4 = 1 whole

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**A trapezoid covers that**

Now we have to build ¾ 4/4 is so ¾ means 3 triangles A trapezoid covers that

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So now we have 1¾ 1 1 Dividing it by ½ is the same thing as saying, “How many ½ blocks cover it?”

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What’s a ½ block? 1 whole is so ½ must be

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**How many ½ blocks does it take to cover 1 ¾ ?**

so 1¾ ÷ ½ = 3 with a triangle left over

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**What about the leftover?**

What part of a ½ block is that leftover triangle?

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**2 triangles cover the blue rhombus.**

So the leftover triangle is ½ of the rhombus. = ½ of

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goes into 1 ¾ 3½ times

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1¾ ÷ ½ = 3 ½

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5/1/09: To put fractions in order Steps to Success: 1)I can explain what a denominator is 2)I can explain what a numerator is 3) I can order proper fractions.

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