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Picture this! Dividing by fractions solving 1¾ ÷ ½ with Pattern Blocks.

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Presentation on theme: "Picture this! Dividing by fractions solving 1¾ ÷ ½ with Pattern Blocks."— Presentation transcript:

1 Picture this! Dividing by fractions solving 1¾ ÷ ½ with Pattern Blocks

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

3 We have to build 1¾ 1¾ is a mixed number plus a fraction part ¾ with a whole number part 1

4 There’s a 4 in the denominator (fourths), so we’ll need to build something that can be covered by 4 equal, smaller things. 1¾

5 Since each blue rhombus is exactly covered by 2 triangles

6 2 blue rhombi will be exactly covered by 4 triangles

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

8 Since 4 green equilateral triangles cover it exactly, we can call it 4/4 (four fourths) 4/4 = 1 whole

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

10 So now we have 1¾ 1¾1 Dividing it by ½ is the same thing as saying, “How many ½ blocks cover it?”

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

12 How many ½ blocks does it take to cover 1 ¾ ? so 1¾ ÷ ½ = 3 with a triangle left over

13 What about the leftover? What part of a ½ block is that leftover triangle?

14 2 triangles cover the blue rhombus. So the leftover triangle is ½ of the rhombus. = ½ of

15 goes into 3½ times ½ 1 ¾

16 1¾ ÷ ½ = 3 ½


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