Basic Math Examples

$(\frac{1}{2}, \frac{3}{4})$ , $(- \frac{1}{4}, 1)$

Step 1

Use the midpoint formula to find the midpoint of the line segment.

$(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$

Step 2

Substitute in the values for $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ .

$(\frac{\frac{1}{2} - \frac{1}{4}}{2}, \frac{\frac{3}{4} + 1}{2})$

Step 3

Simplify the numerator.

Tap for more steps...

Step 3.1

To write $\frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$(\frac{\frac{1}{2} \cdot \frac{2}{2} - \frac{1}{4}}{2}, \frac{\frac{3}{4} + 1}{2})$

Step 3.2

Write each expression with a common denominator of $4$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 3.2.1

Multiply $\frac{1}{2}$ by $\frac{2}{2}$ .

$(\frac{\frac{2}{2 \cdot 2} - \frac{1}{4}}{2}, \frac{\frac{3}{4} + 1}{2})$

Step 3.2.2

Multiply $2$ by $2$ .

$(\frac{\frac{2}{4} - \frac{1}{4}}{2}, \frac{\frac{3}{4} + 1}{2})$

Step 3.3

Combine the numerators over the common denominator.

$(\frac{\frac{2 - 1}{4}}{2}, \frac{\frac{3}{4} + 1}{2})$

Step 3.4

Subtract $1$ from $2$ .

$(\frac{\frac{1}{4}}{2}, \frac{\frac{3}{4} + 1}{2})$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$(\frac{1}{4} \cdot \frac{1}{2}, \frac{\frac{3}{4} + 1}{2})$

Step 5

Multiply $\frac{1}{4} \cdot \frac{1}{2}$ .

Tap for more steps...

Step 5.1

Multiply $\frac{1}{4}$ by $\frac{1}{2}$ .

$(\frac{1}{4 \cdot 2}, \frac{\frac{3}{4} + 1}{2})$

Step 5.2

Multiply $4$ by $2$ .

$(\frac{1}{8}, \frac{\frac{3}{4} + 1}{2})$

Step 6

Simplify the numerator.

Tap for more steps...

Step 6.1

Write $1$ as a fraction with a common denominator.

$(\frac{1}{8}, \frac{\frac{3}{4} + \frac{4}{4}}{2})$

Step 6.2

Combine the numerators over the common denominator.

$(\frac{1}{8}, \frac{\frac{3 + 4}{4}}{2})$

Step 6.3

Add $3$ and $4$ .

$(\frac{1}{8}, \frac{\frac{7}{4}}{2})$

Step 7

Multiply the numerator by the reciprocal of the denominator.

$(\frac{1}{8}, \frac{7}{4} \cdot \frac{1}{2})$

Step 8

Multiply $\frac{7}{4} \cdot \frac{1}{2}$ .

Tap for more steps...

Step 8.1

Multiply $\frac{7}{4}$ by $\frac{1}{2}$ .

$(\frac{1}{8}, \frac{7}{4 \cdot 2})$

Step 8.2

Multiply $4$ by $2$ .

$(\frac{1}{8}, \frac{7}{8})$

Step 9