Question

8 3/10 y−(3 5/11 −2 3/4 y)

Its an algebra question

Answer 1

Answer:
`11(1)/(20)y-3(5)/(11)`

Explanation:

`8(3)/(10)y-(3(5)/(11)-2(3)/(4)y)`

Distribute the negative sign. This basically changes the signs inside the parenthesis.

`8(3)/(10)y-3(5)/(11)+2(3)/(4)y`

Combine like terms. I'll group them so that you can easily see them.

`(8(3)/(10)y+2(3)/(4)y)-3(5)/(11)`

They're like terms because they have the same variable raised to the same power.

To add mixed numbers, add the whole numbers and then the fractions.

`(8+2+(3)/(10)+(3)/(4) )y-3(5)/(11)`

To be able to obtain the same denominator, multiply the first fraction by 4 and the second by 10.

`(10(3)/(10)*(4)/(4)+(3)/(4)*(10)/(10) )y-3(5)/(11)`

`(10(12)/(40)+(30)/(40) )y-3(5)/(11)`

When you have the same denominator, add numerators.

`(10(12+30)/(40))y-3(5)/(11)`

`(10(42)/(40))y-3(5)/(11)`

Simplify.

42/2=21

40/2=20

`(10(21)/(20))y-3(5)/(11)`

Because the fraction part is greater than 1, we must convert it to a mixed number. You can do this by dividing.

21/20=1

20

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1

The one next to the equal sign is the whole number, the one in the remainder part is the numerator and 20 the denominator.

`1(1)/(20)`

Rewrite this and add the whole number with 10.

`(10+1(1)/(20))y -3(5)/(11)\\11(1)/(20)y-3(5)/(11)`