Basic Math Examples

$\frac{1}{3} r + \frac{5}{4} s = 2$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Combine $\frac{1}{3}$ and $r$ .

$\frac{r}{3} + \frac{5}{4} s = 2$

Step 1.2

Combine $\frac{5}{4}$ and $s$ .

$\frac{r}{3} + \frac{5 s}{4} = 2$

$\frac{r}{3} + \frac{5 s}{4} = 2$

Step 2

Subtract $\frac{5 s}{4}$ from both sides of the equation.

$\frac{r}{3} = 2 - \frac{5 s}{4}$

Step 3

Multiply both sides of the equation by $3$ .

$3 \frac{r}{3} = 3 (2 - \frac{5 s}{4})$

Step 4

Simplify both sides of the equation.

Tap for more steps...

Step 4.1

Simplify the left side.

Tap for more steps...

Step 4.1.1

Cancel the common factor of $3$ .

Tap for more steps...

Step 4.1.1.1

Cancel the common factor.

$3 \frac{r}{3} = 3 (2 - \frac{5 s}{4})$

Step 4.1.1.2

Rewrite the expression.

$r = 3 (2 - \frac{5 s}{4})$

$r = 3 (2 - \frac{5 s}{4})$

$r = 3 (2 - \frac{5 s}{4})$

Step 4.2

Simplify the right side.

Tap for more steps...

Step 4.2.1

Simplify $3 (2 - \frac{5 s}{4})$ .

Tap for more steps...

Step 4.2.1.1

Apply the distributive property.

$r = 3 \cdot 2 + 3 (- \frac{5 s}{4})$

Step 4.2.1.2

Multiply $3$ by $2$ .

$r = 6 + 3 (- \frac{5 s}{4})$

Step 4.2.1.3

Multiply $3 (- \frac{5 s}{4})$ .

Tap for more steps...

Step 4.2.1.3.1

Multiply $- 1$ by $3$ .

$r = 6 - 3 \frac{5 s}{4}$

Step 4.2.1.3.2

Combine $- 3$ and $\frac{5 s}{4}$ .

$r = 6 + \frac{- 3 (5 s)}{4}$

Step 4.2.1.3.3

Multiply $5$ by $- 3$ .

$r = 6 + \frac{- 15 s}{4}$

$r = 6 + \frac{- 15 s}{4}$

Step 4.2.1.4

Move the negative in front of the fraction.

$r = 6 - \frac{15 s}{4}$

$r = 6 - \frac{15 s}{4}$

$r = 6 - \frac{15 s}{4}$

$r = 6 - \frac{15 s}{4}$

Step 5

Reorder $6$ and $- \frac{15 s}{4}$ .

$r = - \frac{15 s}{4} + 6$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$