Basic Math Examples

$(\frac{4}{5}, \frac{3}{8})$ , $(\frac{3}{5}, - \frac{7}{8})$

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

$(\frac{\frac{4}{5} + \frac{3}{5}}{2}, \frac{\frac{3}{8} - \frac{7}{8}}{2})$

Step 3

Simplify the numerator.

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Step 3.1

Combine the numerators over the common denominator.

$(\frac{\frac{4 + 3}{5}}{2}, \frac{\frac{3}{8} - \frac{7}{8}}{2})$

Step 3.2

Add $4$ and $3$ .

$(\frac{\frac{7}{5}}{2}, \frac{\frac{3}{8} - \frac{7}{8}}{2})$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$(\frac{7}{5} \cdot \frac{1}{2}, \frac{\frac{3}{8} - \frac{7}{8}}{2})$

Step 5

Multiply $\frac{7}{5} \cdot \frac{1}{2}$ .

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Step 5.1

Multiply $\frac{7}{5}$ by $\frac{1}{2}$ .

$(\frac{7}{5 \cdot 2}, \frac{\frac{3}{8} - \frac{7}{8}}{2})$

Step 5.2

Multiply $5$ by $2$ .

$(\frac{7}{10}, \frac{\frac{3}{8} - \frac{7}{8}}{2})$

Step 6

Simplify the numerator.

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Step 6.1

Combine the numerators over the common denominator.

$(\frac{7}{10}, \frac{\frac{3 - 7}{8}}{2})$

Step 6.2

Subtract $7$ from $3$ .

$(\frac{7}{10}, \frac{\frac{- 4}{8}}{2})$

Step 6.3

Reduce the expression by cancelling the common factors.

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Step 6.3.1

Cancel the common factor of $- 4$ and $8$ .

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Step 6.3.1.1

Factor $4$ out of $- 4$ .

$(\frac{7}{10}, \frac{\frac{4 (- 1)}{8}}{2})$

Step 6.3.1.2

Cancel the common factors.

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Step 6.3.1.2.1

Factor $4$ out of $8$ .

$(\frac{7}{10}, \frac{\frac{4 \cdot - 1}{4 \cdot 2}}{2})$

Step 6.3.1.2.2

Cancel the common factor.

$(\frac{7}{10}, \frac{\frac{4 \cdot - 1}{4 \cdot 2}}{2})$

Step 6.3.1.2.3

Rewrite the expression.

$(\frac{7}{10}, \frac{\frac{- 1}{2}}{2})$

Step 6.3.2

Move the negative in front of the fraction.

$(\frac{7}{10}, \frac{- \frac{1}{2}}{2})$

Step 7

Multiply the numerator by the reciprocal of the denominator.

$(\frac{7}{10}, - \frac{1}{2} \cdot \frac{1}{2})$

Step 8

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

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Step 8.1

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

$(\frac{7}{10}, - \frac{1}{2 \cdot 2})$

Step 8.2

Multiply $2$ by $2$ .

$(\frac{7}{10}, - \frac{1}{4})$

Step 9