Question

4/5x- 3 3/4x= 2 1/2 SOLVE

Answer 1

4/5×-15/4×=5/2
16/20×-75/20×=50/20
16×-75×=50
-59×=50
×=50/59

Answer 2

`x=(50)/(59)`

Explanation:

`(4)/(5)x-3 (3)/(4) x=2 (1)/(2)`

Convert the mixed fraction into improper fraction

`3 (3)/(4)=(3 \cdot 4+3)/(4) =(15)/(4)`

`2(1)/(2)=(2 \cdot 2+1)/(4) =(5)/(4)`

`(4)/(5)x-(15)/(4)x=(5)/(2)`

LCD is 20. multiply the first fraction by 4 and second fraction by 5

multiply the right hand side fraction by 10 to get LCD 20

`(16)/(20)x-(75)/(20)x=(50)/(20)`

Combine like terms

`(59)/(20)x=(50)/(20)`

Both sides have same denominator

so we equate the numerators

`59x= 50`

Divide both sides by 59

`x=(50)/(59)`