Question

Hi I need this asap if you also explain the work on how you got answers plz and thank you
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Answer 1

Q/ Draw a line ; Ans;

`(9)/(5) —>1 (4)/(5)`

*explain ; We put the 5 in the denominator and 5 multiply 1 + 4 so equal 9 so the choice 9/5 .

Ans; 7/3—> 2 1/3

*explain ; We put the 3 in the denominator and 3 multiply 2 + 1 so equal 7 so the choice 7/3 .

Ans; 12/10 —> 1 1/5

*explain; simple (12 and 10) ÷ 2 so equal 6/5

We put the 5 in the denominator and 5 multiply 1 + 1 so equal 6 so the choice 6/5 =12/10 .

`(12 / 2)/(10 / 2) = (6)/(5) = 1 (1)/(5)`

Q/ Compare the fractions;Ans;

`(2)/(3) < (14)/(6)`

* explain; 2/3 = 0.66 and 14/6=2.33 so 2.33 greater from 0.66 so 14/6 greater from 2/3 .

`(3)/(8) < (8)/(3)`

* explain; 3/8 = 0.375 and 8/3=2.666 so 2.666 greater from 0.375 so 8/3 greater from 3/8 .

`2 (1)/(6) > (5)/(9)`

* explain; 2 1/6 —> We put the 6 in the denominator and 6 multiply 2 + 1 so equal 13 so equal 13/6

13/6 = 2.16 and 5/9=0.55 so 2.16 greater from 0.55 so 13/6 = 2 1/6 greater from 5/9 .

Q/Add; Ans;

`(7)/(8) + (5)/(8) = (7 + 5)/(8) = (12)/(8) = (3)/(2) </p><p>`

`(1)/(9) + (2)/(3) \\ \\ (1)/(9) + (6)/(9) = ( 1+6 )/(9) = (7)/(9)`

Q/Subtract; Ans;

`(6)/(7) - (4)/(7) = (6 - 4)/(7) = (2)/(7)`

`(7)/(3) - (2)/(9) \\ \\ (21)/(9) - (2)/(9) = (21 - 2)/(9) = (19)/(9)`

Q/ Multiply;Ans;

`(1)/(5) * (1)/(2) = (1)/(10)`

`(2)/(3) * (3)/(8) = (6)/(24) = (1)/(4)`

Q/Divide;Ans;

`(3)/(4) / (2)/(5) \\ \\ (3)/(4) * (5)/(2) = (15)/(8)`

`(8)/(9) / (1)/(3) \\ \\ (8)/(9) * (3)/(1) = (24)/(9) = (8)/(3)`

I hope I helped you^_^