Question

Can someone please help with these 2 questions? It would mean the world to me. I have attached the image for the questions.

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Answer 1

2
`(1)/(20)`

Explanation:

for question a)

It would be easier if you converted these to improper fractions (currently it is in the form of a proper fraction)

to convert to improper fraction, you would multiply the denominator (bottom no. of fraction) by the whole number , then add that with the numerator (top no. of fraction) and put the whole thing over the denominator.

E.g.

7
`(1)/(4)` = 7x4 + 1 = 29

Thus, improper fraction would be
`(29)/(4)`

do same thing for other one

thus ,
`(26)/(5)`

now,

`(29)/(4)` -
`(26)/(5)`

however, you can't do this as the denominators are not the same, so multiply them by a number which would give the a common denominator (20 would be the best option for common denominator)

`(145)/(20) -(104)/(20)` =
`(41)/(20)`

convert back to mixed number

2
`(1)/(20)`

Answer 2

Explanation:

a) Step1 : write in improper form

Step 2 : Find least common denominator

Step 3: Find equivalent fractions and then subtract

`7(1)/(4)-5(1)/(5) = (29)/(4)-(26)/(5)\\`

`= (29*5)/(4*5)-(26*4)/(5*4)\\\\=(145)/(20)-(104)/(20)\\\\=(145-104)/(20)\\\\=(41)/(20)\\\\=2(1)/(20)`

b) Keep Change Flip method

`4(1)/(4)` ÷
`2(1)/(5) = (17)/(4)` ÷
`(11)/(5)`

`=(17)/(4)*(5)/(11)\\\\=(85)/(44)\\\\=1(41)/(44)`