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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
We have to build 1¾ 1¾ is a mixed number plus a fraction part ¾ with a whole number part 1
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
Since each blue rhombus is exactly covered by 2 triangles
2 blue rhombi will be exactly covered by 4 triangles
So let’s put 2 blue rhombi together and call it 1.
Since 4 green equilateral triangles cover it exactly, we can call it 4/4 (four fourths) 4/4 = 1 whole
Now we have to build ¾ so ¾ means 3 triangles 4/4 is A trapezoid covers that
So now we have 1¾ 1¾1 Dividing it by ½ is the same thing as saying, “How many ½ blocks cover it?”
What’s a ½ block? 1 whole is so ½ must be
How many ½ blocks does it take to cover 1 ¾ ? so 1¾ ÷ ½ = 3 with a triangle left over
What about the leftover? What part of a ½ block is that leftover triangle?
2 triangles cover the blue rhombus. So the leftover triangle is ½ of the rhombus. = ½ of
goes into 3½ times ½ 1 ¾
1¾ ÷ ½ = 3 ½
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