Solve ((2x) * x * 2y)/(2 + (3y - 4)/2) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{(2x)x2y}{2+\frac{3y-4}{2}}$$

Evaluate

$\frac{4xx_{2}}{3}$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply $2$ times $\frac{2}{2}$.

$$\frac{2xx_{2}y}{\frac{2\times 2}{2}+\frac{3y-4}{2}}$$

Since $\frac{2\times 2}{2}$ and $\frac{3y-4}{2}$ have the same denominator, add them by adding their numerators.

$$\frac{2xx_{2}y}{\frac{2\times 2+3y-4}{2}}$$

Do the multiplications in $2\times 2+3y-4$.

$$\frac{2xx_{2}y}{\frac{4+3y-4}{2}}$$

Combine like terms in $4+3y-4$.

$$\frac{2xx_{2}y}{\frac{3y}{2}}$$

Divide $2xx_{2}y$ by $\frac{3y}{2}$ by multiplying $2xx_{2}y$ by the reciprocal of $\frac{3y}{2}$.

$$\frac{2xx_{2}y\times 2}{3y}$$

Cancel out $y$ in both numerator and denominator.

$$\frac{2\times 2xx_{2}}{3}$$

Multiply $2$ and $2$ to get $4$.

$$\frac{4xx_{2}}{3}$$

Expand

$\frac{4xx_{2}}{3}$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply $2$ times $\frac{2}{2}$.

$$\frac{2xx_{2}y}{\frac{2\times 2}{2}+\frac{3y-4}{2}}$$

Since $\frac{2\times 2}{2}$ and $\frac{3y-4}{2}$ have the same denominator, add them by adding their numerators.

$$\frac{2xx_{2}y}{\frac{2\times 2+3y-4}{2}}$$

Do the multiplications in $2\times 2+3y-4$.

$$\frac{2xx_{2}y}{\frac{4+3y-4}{2}}$$

Combine like terms in $4+3y-4$.

$$\frac{2xx_{2}y}{\frac{3y}{2}}$$

Divide $2xx_{2}y$ by $\frac{3y}{2}$ by multiplying $2xx_{2}y$ by the reciprocal of $\frac{3y}{2}$.

$$\frac{2xx_{2}y\times 2}{3y}$$

Cancel out $y$ in both numerator and denominator.

$$\frac{2\times 2xx_{2}}{3}$$

Multiply $2$ and $2$ to get $4$.

$$\frac{4xx_{2}}{3}$$