Question

Ursula wrote the sum 5.815 +6.021 as a sum of two mixed numbers.

What a sum did she write?
Compare the sum of the mixed numbers to the sum of the decimals

Answer 1

5
`(815)/(1000)` + 6
`(21)/(1000)`

The sum of these two mixed numbers is 11.836 or 11
`(836)/(1000)`
Reducing the fraction we get 11
`(209)/(250)` in lowest terms.
(I divided the numerator and denominator by 4).

Answer 2

Part a) sum of the mixed numbers
we know that

`(5.815 +6.021)=(5+0.815)+(6+0.021) \\ \\ =(5+ (815)/(1000))+(6+ (21)/(1000) ) \\ \\ =(5 (815)/(1000) +6 (21)/(1000) ) \\ \\ = 11 (836)/(1000)`
Reducing the fraction (divided the numerator and denominator by
`4`)

we get


`11 (209)/(250)`

Part b) sum of the decimals
we know that

`(5.815 +6.021)=(11.836)`

Part c) Compare the sum of the mixed numbers to the sum of the decimals

sum of the mixed numbers is equal to
`11 (209)/(250)`

sum of the decimals is equal to
`11.836`

therefore


`11 (209)/(250)=11.836`


`(209)/(250) =0.836`