Question

$\frac{3}{2} + \frac{2m}{9} = \frac{37}{18}$
How do I solve this and make it the most simplified it can be?​​

Answer 1

Answer:

Hope it helps you!!!!!?

Answer 2

Answer:

➢ Answєr :

$\Huge{\boxed{\sf{\red{m = \frac{5}{2}}}}}$

➢ Explαnαtion :

$\displaystyle{\sf{ \frac{3}{2} + \frac{2m}{9} = \frac{37}{18}}}$

| ∵ Transposing 3/2 to R.H.S

$\implies\displaystyle{\sf{ \frac{2m}{9} = \frac{37}{18} - \frac{3}{2}}}$

$\implies\displaystyle{\sf{ \frac{2m}{9} = \frac{37-27}{18}}}$

$\implies\displaystyle{\sf{ \frac{2m}{9} = \frac{10}{18} = \frac{5}{9}}}$

$\implies\displaystyle{\sf{ 2m = \frac{5}{9} \times 9}}$

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

$\longrightarrow\large{\boxed{\sf{\red{ m = \frac{5}{2}}}}}$