Question

`(3)/(2) + (2m)/(9) = (37)/(18)`

How do I solve this and make it the most simplified it can be?​

Answer 1

`m = (5)/(2)`

Explanation:

`(3)/(2) + (2m)/(9) = (37)/(18)`

Multiply through by 18 to eliminate the fraction

That's

`18 * (3)/(2) + 18 * (2m)/(9) = 18 * (37)/(18) \\ 27 + 4m = 37`

Subtract 27 from both sides

That's

`27 - 27 + 4m = 37 - 27 \\ 4m = 10`

Divide both sides by 4

That's

`(4m)/(4) = (10)/(4)`

We have the final answer as

`m = (5)/(2)`

Hope this helps you

Answer 2

➢ Answєr :

`\Huge{\boxed{\sf{\red{m = (5)/(2)}}}}`

➢ Explαnαtion :

`\displaystyle{\sf{ (3)/(2) + (2m)/(9) = (37)/(18)}}`

| ∵ Transposing 3/2 to R.H.S

`\implies`
`\displaystyle{\sf{ (2m)/(9) = (37)/(18) - (3)/(2)}}`

`\implies`
`\displaystyle{\sf{ (2m)/(9) = (37-27)/(18)}}`

`\implies`
`\displaystyle{\sf{ (2m)/(9) = (10)/(18) = (5)/(9)}}`

`\implies`
`\displaystyle{\sf{ 2m = (5)/(9) * 9}}`

`\implies`
`\displaystyle{\sf{ 2m = 5}}`

`\longrightarrow`
`\large{\boxed{\sf{\red{ m = (5)/(2)}}}}`