Solve (3t - 2)/4 - (2 + 3)/3 - (2 - 4)/3 | 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

$$\frac{3t-2}{4}-\frac{2+3}{3}-\frac{2-4}{3}$$

Evaluate

$\frac{3\left(t-2\right)}{4}$

Short Solution Steps

Add $2$ and $3$ to get $5$.

$$\frac{3t-2}{4}-\frac{5}{3}-\frac{2-4}{3}$$

Subtract $4$ from $2$ to get $-2$.

$$\frac{3t-2}{4}-\frac{5}{3}-\frac{-2}{3}$$

Fraction $\frac{-2}{3}$ can be rewritten as $-\frac{2}{3}$ by extracting the negative sign.

$$\frac{3t-2}{4}-\frac{5}{3}-\left(-\frac{2}{3}\right)$$

The opposite of $-\frac{2}{3}$ is $\frac{2}{3}$.

$$\frac{3t-2}{4}-\frac{5}{3}+\frac{2}{3}$$

Since $-\frac{5}{3}$ and $\frac{2}{3}$ have the same denominator, add them by adding their numerators.

$$\frac{3t-2}{4}+\frac{-5+2}{3}$$

Add $-5$ and $2$ to get $-3$.

$$\frac{3t-2}{4}+\frac{-3}{3}$$

Divide $-3$ by $3$ to get $-1$.

$$\frac{3t-2}{4}-1$$

To add or subtract expressions, expand them to make their denominators the same. Multiply $1$ times $\frac{4}{4}$.

$$\frac{3t-2}{4}-\frac{4}{4}$$

Since $\frac{3t-2}{4}$ and $\frac{4}{4}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{3t-2-4}{4}$$

Combine like terms in $3t-2-4$.

$$\frac{3t-6}{4}$$

Expand

$\frac{3t}{4}-\frac{3}{2}$

Short Solution Steps

Add $2$ and $3$ to get $5$.

$$\frac{3t-2}{4}-\frac{5}{3}-\frac{2-4}{3}$$

Subtract $4$ from $2$ to get $-2$.

$$\frac{3t-2}{4}-\frac{5}{3}-\frac{-2}{3}$$

Fraction $\frac{-2}{3}$ can be rewritten as $-\frac{2}{3}$ by extracting the negative sign.

$$\frac{3t-2}{4}-\frac{5}{3}-\left(-\frac{2}{3}\right)$$

The opposite of $-\frac{2}{3}$ is $\frac{2}{3}$.

$$\frac{3t-2}{4}-\frac{5}{3}+\frac{2}{3}$$

Since $-\frac{5}{3}$ and $\frac{2}{3}$ have the same denominator, add them by adding their numerators.

$$\frac{3t-2}{4}+\frac{-5+2}{3}$$

Add $-5$ and $2$ to get $-3$.

$$\frac{3t-2}{4}+\frac{-3}{3}$$

Divide $-3$ by $3$ to get $-1$.

$$\frac{3t-2}{4}-1$$

To add or subtract expressions, expand them to make their denominators the same. Multiply $1$ times $\frac{4}{4}$.

$$\frac{3t-2}{4}-\frac{4}{4}$$

Since $\frac{3t-2}{4}$ and $\frac{4}{4}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{3t-2-4}{4}$$

Combine like terms in $3t-2-4$.

$$\frac{3t-6}{4}$$