Basic Math Examples

$(- \frac{3}{2}, \frac{11}{2})$ , $(- 3, 4)$

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 $(x_{2}, y_{2})$ .

$(\frac{- \frac{3}{2} - 3}{2}, \frac{\frac{11}{2} + 4}{2})$

Step 3

Simplify the numerator.

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Step 3.1

To write $- 3$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$(\frac{- \frac{3}{2} - 3 \cdot \frac{2}{2}}{2}, \frac{\frac{11}{2} + 4}{2})$

Step 3.2

Combine $- 3$ and $\frac{2}{2}$ .

$(\frac{- \frac{3}{2} + \frac{- 3 \cdot 2}{2}}{2}, \frac{\frac{11}{2} + 4}{2})$

Step 3.3

Combine the numerators over the common denominator.

$(\frac{\frac{- 3 - 3 \cdot 2}{2}}{2}, \frac{\frac{11}{2} + 4}{2})$

Step 3.4

Simplify the numerator.

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Step 3.4.1

Multiply $- 3$ by $2$ .

$(\frac{\frac{- 3 - 6}{2}}{2}, \frac{\frac{11}{2} + 4}{2})$

Step 3.4.2

Subtract $6$ from $- 3$ .

$(\frac{\frac{- 9}{2}}{2}, \frac{\frac{11}{2} + 4}{2})$

Step 3.5

Move the negative in front of the fraction.

$(\frac{- \frac{9}{2}}{2}, \frac{\frac{11}{2} + 4}{2})$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$(- \frac{9}{2} \cdot \frac{1}{2}, \frac{\frac{11}{2} + 4}{2})$

Step 5

Multiply $- \frac{9}{2} \cdot \frac{1}{2}$ .

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Step 5.1

Multiply $\frac{1}{2}$ by $\frac{9}{2}$ .

$(- \frac{9}{2 \cdot 2}, \frac{\frac{11}{2} + 4}{2})$

Step 5.2

Multiply $2$ by $2$ .

$(- \frac{9}{4}, \frac{\frac{11}{2} + 4}{2})$

Step 6

Simplify the numerator.

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Step 6.1

To write $4$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$(- \frac{9}{4}, \frac{\frac{11}{2} + 4 \cdot \frac{2}{2}}{2})$

Step 6.2

Combine $4$ and $\frac{2}{2}$ .

$(- \frac{9}{4}, \frac{\frac{11}{2} + \frac{4 \cdot 2}{2}}{2})$

Step 6.3

Combine the numerators over the common denominator.

$(- \frac{9}{4}, \frac{\frac{11 + 4 \cdot 2}{2}}{2})$

Step 6.4

Simplify the numerator.

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Step 6.4.1

Multiply $4$ by $2$ .

$(- \frac{9}{4}, \frac{\frac{11 + 8}{2}}{2})$

Step 6.4.2

Add $11$ and $8$ .

$(- \frac{9}{4}, \frac{\frac{19}{2}}{2})$

Step 7

Multiply the numerator by the reciprocal of the denominator.

$(- \frac{9}{4}, \frac{19}{2} \cdot \frac{1}{2})$

Step 8

Multiply $\frac{19}{2} \cdot \frac{1}{2}$ .

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Step 8.1

Multiply $\frac{19}{2}$ by $\frac{1}{2}$ .

$(- \frac{9}{4}, \frac{19}{2 \cdot 2})$

Step 8.2

Multiply $2$ by $2$ .

$(- \frac{9}{4}, \frac{19}{4})$

Step 9