Question

mike has 5 2/3 pounds of sugar. he used 2 4/5 pounds of sugar to make cakes how many pounds of sugar dose he left

Answer 1

`2(13)/(15)`

Explanation:

Given the following question:


`5(2)/(3) -2(4)/(5)`

In order to find the answer to the question we have to subtract the initial amount of sugar by the amount of sugar Mike has left over after baking the cakes.


`5(2)/(3)-2(4)/(5)`

To subtract fractions, we have to convert the mixed numbers into improper fractions and then find the least common denominator (LCD) to solve.


`5(2)/(3) =3*5=15+2=(17)/(3)`

`2(4)/(5) =5*2=10+4=(14)/(5)`

`(17)/(3) -(14)/(5)`

Find the least common multiple:


`LCD=15`

`17*5=85`

`3*5=15`

`14*3=42`

`5*3=15`


`(85)/(15) -(42)/(15)`

Subtract the numerators:


`85-42=43=(43)/(15)`

Convert into mixed number:


`(43)/(15) =43/15=2(13)/(15)`

`=2(13)/(15)`

Hope this helps.