Question

Abigail has 2 and 1/7th cakes. She dropped 1 2/5th of the cakes. How much cake does she have left.

Answer 1

`(26)/(35) th` of the cake.

Explanation:

Abigail has
`2(1)/(7) th` cakes and she drops
`1(2)/(5)` of it.

To find out how much cake she is left with now, we just need to subtract the amount of cake she dropped from the amount of cake she had initially.

`2(1)/(7) - 1(2)/(5)`

Change these mixed fractions to improper fractions:

`(15)/(7) -(7)/(5)`

Taking the LCM to get:

`((15*5)*(7*7))/(35) = (75-49)/(35) =(26)/(35)`

Therefore, Abigail is now left with 26/35th of the cake.

Answer 2

Abigail has 2 and 1/7th cakes. She dropped 1 2/5th of the cakes

Abigail has
`2(1)/(7) = (15)/(7)` cakes

She dropped
`1 (2)/(5) = (7)/(5)` of the cakes

To find the amount of cake left, we subtract the amount of cake dropped from the whole cake

Cake left =
`(15)/(7) - (7)/(5)`

To subtract fractions make the denominators same

LCD is 7* 5 = 35

`(15*5)/(7*5) - (7*7)/(5*7)`

`(75)/(35) - (49)/(35)`

`(75 - 49)/(35)`

`(26)/(35)`

`(26)/(35)` of cake she have left