Question

2 1/2 divided by 4 3/3

Answer 1

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Division | Solution and Explanation

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Hello! So...

We are given the following:

`2(1)/(2)` ÷
`4(3)/(3)`

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1. Convert mixed numbers to improper fractions (
`2(1)/(2)=(5)/(2)` ).

• 
  `(5)/(2)` ÷
  `4(3)/(3)`

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2. Convert mixed numbers to improper fractions (
`4(3)/(3) = (15)/(3)` ).

• 
  `(5)/(2)` ÷
  `(15)/(3)`

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3. Apply the fraction rule (
`(a)/(b)` ÷
`(c)/(d)` =
`(a)/(b)` ×
`(d)/(c)` ).

• 
  `(5)/(2)` ×
  `(3)/(15)`

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4. Cross-cancel common factor (5).

• 
  `(1)/(2)` ×
  `(3)/(3)`

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5. Multiply fractions (
`(a)/(b)` ×
`(c)/(d)` =
`(a * c)/(b*d)` ).

• 
  `(1*3)/(2*3)`

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6. Cancel the common factor (3).

• =
  `(1)/(2)`

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Hope this helps!