Basic Math Examples

$3 \div \frac{6}{5} \cdot \frac{2}{5} - 1$

Step 1

Simplify each term.

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Step 1.1

To divide by a fraction, multiply by its reciprocal.

$3 (\frac{5}{6}) \cdot \frac{2}{5} - 1$

Step 1.2

Cancel the common factor of $3$ .

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Step 1.2.1

Factor $3$ out of $6$ .

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

Step 1.2.2

Cancel the common factor.

$3 \frac{5}{3 \cdot 2} \cdot \frac{2}{5} - 1$

Step 1.2.3

Rewrite the expression.

$\frac{5}{2} \cdot \frac{2}{5} - 1$

$\frac{5}{2} \cdot \frac{2}{5} - 1$

Step 1.3

Cancel the common factor of $5$ .

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Step 1.3.1

Cancel the common factor.

$\frac{5}{2} \cdot \frac{2}{5} - 1$

Step 1.3.2

Rewrite the expression.

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

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

Step 1.4

Cancel the common factor of $2$ .

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Step 1.4.1

Cancel the common factor.

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

Step 1.4.2

Rewrite the expression.

$1 - 1$

$1 - 1$

$1 - 1$

Step 2

Subtract $1$ from $1$ .

$0$

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