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Fractions, SM-Bank 017

State whether the following pairs of fractions are equivalent by using the `=` or `≠` symbol in the box between the fractions.  (3 marks)

a.    

  
b.    

  
c.    

  
Show Answers Only

a.    `4/5 = 36/45`

b.    `56/63 ≠ 7/9`

c.    `5/8 ≠ 3/5`

Show Worked Solution
a.    `4/5` `= (4 xx 9)/(5 xx 9) = 36/45`

 
`:.\ 4/5 = 36/45`

 

b.    `56/63` `= (56 ÷ 7)/(63 ÷ 7) = 8/9`

 
`:.\ 56/63 ≠ 7/9`
 

c.    `text(Lowest common multiple of)\ 8\ text(and)\ 5 = 40`

`:.\ 5/8` `= (5 xx 5)/(8 xx 5) = 25/40`

 
`text(and)`

`:.\ 3/5` `= (3 xx 8)/(5 xx 8) = 24/40`

 
`:.\ 5/8 ≠ 3/5`