Question

6.75 +3/8x=13 1/4 solve please

Answer 1

The exact form, decimal form, and the mixed number form are down

Explanation:

exact form ; x = 208/3

decimal form ; 69.33333..

Mixed number form ; 69 1/3

Answer 2

To solve this equation, we can proceed as follows:

`6.75+(3)/(8)x=13(1)/(4)`

1. Subtract 6.75 to both sides of the equation:

`6.75-6.75+(3)/(8)x=13(1)/(4)-6.75\Rightarrow(3)/(8)x=13(1)/(4)-6.75`

We can solve the right part of the equation using fractions as follows:

`6.75=6+(3)/(4)`

We also know that

`13(1)/(4)=13+(1)/(4)`

Then, we have:

`(3)/(8)x=13+(1)/(4)-(6-(3)/(4))=13-6+(1)/(4)-(3)/(4)=7+(1-3)/(4)_{}`
`(3)/(8)x=7+(-(3)/(4))=7-(3)/(4)=(7\cdot4-3)/(4)=(28-3)/(4)_{}=(25)/(4)`

Now, the equation is:

`(3)/(8)x=(25)/(4)`

We need to multiply by 8/3 to both sides to solve for x as follows:

`(8)/(3)\cdot(3)/(8)x=(8)/(3)\cdot(25)/(4)\Rightarrow x=(8)/(4)\cdot(25)/(3)\Rightarrow x=2\cdot(25)/(3)\Rightarrow x=(50)/(3)=16.6666666\ldots=16(2)/(3)`

Therefore, the value for x is equal to:

`x=16(2)/(3)=(50)/(3)=16.6666666\ldots`