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Picture this! Dividing by fractions

Picture this! Dividing by fractions. solving 1¾ ÷ ½ with Pattern Blocks. Get out the pattern blocks. We’ll use them to build 1 ¾ ÷ ½ and find out the answer. 1¾ is a mixed number. We have to build 1¾. with a whole number part. 1. plus a fraction part. ¾. 1¾.

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Picture this! Dividing by fractions

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

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

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

  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.

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

  10. So now we have 1¾ 1 1 ¾ 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. 1 ¾ ½ goes into 3½ times

  16. 1¾ ÷ ½ = 3 ½

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