Question

Please help me with this, it is due tomorrow and you'll be my lifesaver. I will appreciate it so much, thank you and have nice day! ​

Answer 1

Before doing this you should know that :

• 
  `{\boxed{\bf{a(b)/(c)=(ac+b)/(c)}}}`

Where ,
`{\sf{a(b)/(c)}}` is a mixed fraction.

Question 1 :-

`{:\implies \quad \sf 7(5)/(6)-2(3)/(10)}`

`{:\implies \quad \sf (47)/(5)-(23)/(10)}`

After taking LCM ;

`{:\implies \quad \sf (94-23)/(10)}`

`{:\implies \quad \bf \underline{\underline{(71)/(10)}}}`

Question 2 :-

`{:\implies \quad \sf 10-5(4)/(9)}`

`{:\implies \quad \sf (10)/(1)-(49)/(9)}`

After taking LCM ;

`{:\implies \quad \sf (90-49)/(9)}`

`{:\implies \quad \bf \underline{\underline{(41)/(9)}}}`

Question 3 :-

`{:\implies \quad \sf 7(1)/(3)-3(6)/(7)}`

`{:\implies \quad \sf (22)/(3)-(27)/(7)}`

After taking LCM ;

`{:\implies \quad \sf (154-81)/(21)}`

`{:\implies \quad \bf \underline{\underline{(73)/(21)}}}`

Question 4 :-

`{:\implies \quad \sf 5(2)/(7)+3(1)/(6)}`

`{:\implies \quad \sf (37)/(7)-(19)/(6)}`

After taking LCM ;

`{:\implies \quad \sf (222+133)/(42)}`

`{:\implies \quad \bf \underline{\underline{(355)/(42)}}}`

Question 5 :-

As Sarah bought 1 ¼ feet of yellow fabric , 2 ⅚ feet of pink fabric and 3 ½ feet of purple fabric. So , the total length of fabric will be given by the sum of all as follows ;

`{:\implies \quad \sf 1\frac14 +2\frac56 + 3\frac12}`

`{:\implies \quad \sf (5)/(4)+(17)/(6)+(7)/(2)}`

After Taking LCM ;

`{:\implies \quad \sf (15+34+42)/(12)}`

`{:\implies \quad \sf (91)/(12)\:\: feet}`

Or writing it as mixed fraction ;

`{:\implies \quad \bf \therefore \quad \underline{\underline{7(7)/(12)\:\: feet}}}`