Question

Solve the equation and give explanation

Answer 1

`5 (9)/(10)` = 5 9/10

Explanation:

Rewrite by seperating

`4 + (1)/(2) + 1 + (2)/(5)`

Combine the whole numbers '4' and '1'

`5 + (1)/(2) + (2)/(5)`

Now add the both fractions

`(1)/(2) + (2)/(5)` ; fractions should have a common denominator in order to be added

The common LCD is 10

`(1)/(2) * (5)/(5) + (2)/(5)*(2)/(2)`

`(5)/(10) + (4)/(10)` now we can add

`(5)/(10) + (4)/(10) = (9)/(10)`

Lastly combine the whole number part and the fraction part

`5 + (9)/(10)` =
`5 (9)/(10)`

Answer 2

5 9/10

Explanation:

step one: convert 4 1/2 into 9/2 and convert 1 2/5 into 7/5

step two: find common denominator which is 10

step three convert to common denominator, 9/5=45/10 and 7/5= 14/10

step four add together which is 59/10

step five simplify into mixed number 5 9/10