Basic Math Examples

\frac{70 - 40}{70 - 30}

$\frac{70 - 40}{70 - 30}$

Step 1

Cancel the common factor of

70 - 40

$70 - 40$ and

70 - 30

$70 - 30$ .

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Step 1.1

Factor

10

$10$ out of

70

$70$ .

\frac{10 (7) - 40}{70 - 30}

$\frac{10 (7) - 40}{70 - 30}$

Step 1.2

Factor

10

$10$ out of

- 40

$- 40$ .

\frac{10 \cdot 7 + 10 \cdot - 4}{70 - 30}

$\frac{10 \cdot 7 + 10 \cdot - 4}{70 - 30}$

Step 1.3

Factor

10

$10$ out of

10 \cdot 7 + 10 \cdot - 4

$10 \cdot 7 + 10 \cdot - 4$ .

\frac{10 \cdot (7 - 4)}{70 - 30}

$\frac{10 \cdot (7 - 4)}{70 - 30}$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor

10

$10$ out of

70

$70$ .

\frac{10 \cdot (7 - 4)}{10 (7) - 30}

$\frac{10 \cdot (7 - 4)}{10 (7) - 30}$

Step 1.4.2

Factor

10

$10$ out of

- 30

$- 30$ .

\frac{10 \cdot (7 - 4)}{10 \cdot 7 + 10 \cdot - 3}

$\frac{10 \cdot (7 - 4)}{10 \cdot 7 + 10 \cdot - 3}$

Step 1.4.3

Factor

10

$10$ out of

10 \cdot 7 + 10 \cdot - 3

$10 \cdot 7 + 10 \cdot - 3$ .

\frac{10 \cdot (7 - 4)}{10 \cdot (7 - 3)}

$\frac{10 \cdot (7 - 4)}{10 \cdot (7 - 3)}$

Step 1.4.4

Cancel the common factor.

$\frac{10 \cdot (7 - 4)}{10 \cdot (7 - 3)}$

Step 1.4.5

Rewrite the expression.

$\frac{7 - 4}{7 - 3}$

$\frac{7 - 4}{7 - 3}$

$\frac{7 - 4}{7 - 3}$

Step 2

Simplify by subtracting numbers.

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Step 2.1

Subtract

$4$ from

$7$ .

$\frac{3}{7 - 3}$

Step 2.2

Subtract

$3$ from

$7$ .

$\frac{3}{4}$

$\frac{3}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{4}$

Decimal Form:

$0.75$

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