Algebra Examples

$2 \div a = (\frac{5}{2}) \div (\frac{5}{4})$

Step 1

Multiply both sides by $a$ .

$2 \div a a = \frac{5}{2} \div \frac{5}{4} a$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $2 \div a a$ .

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Step 2.1.1.1

Rewrite the division as a fraction.

$\frac{2}{a} a = \frac{5}{2} \div \frac{5}{4} a$

Step 2.1.1.2

Cancel the common factor of $a$ .

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Step 2.1.1.2.1

Cancel the common factor.

$\frac{2}{a} a = \frac{5}{2} \div \frac{5}{4} a$

Step 2.1.1.2.2

Rewrite the expression.

$2 = \frac{5}{2} \div \frac{5}{4} a$

$2 = \frac{5}{2} \div \frac{5}{4} a$

$2 = \frac{5}{2} \div \frac{5}{4} a$

$2 = \frac{5}{2} \div \frac{5}{4} a$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $\frac{5}{2} \div \frac{5}{4} a$ .

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Step 2.2.1.1

To divide by a fraction, multiply by its reciprocal.

$2 = \frac{5}{2} \cdot \frac{4}{5} a$

Step 2.2.1.2

Cancel the common factor of $5$ .

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Step 2.2.1.2.1

Cancel the common factor.

$2 = \frac{5}{2} \cdot \frac{4}{5} a$

Step 2.2.1.2.2

Rewrite the expression.

$2 = \frac{1}{2} \cdot 4 a$

$2 = \frac{1}{2} \cdot 4 a$

Step 2.2.1.3

Cancel the common factor of $2$ .

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Step 2.2.1.3.1

Factor $2$ out of $4$ .

$2 = \frac{1}{2} \cdot (2 (2)) a$

Step 2.2.1.3.2

Cancel the common factor.

$2 = \frac{1}{2} \cdot (2 \cdot 2) a$

Step 2.2.1.3.3

Rewrite the expression.

$2 = 2 a$

$2 = 2 a$

$2 = 2 a$

$2 = 2 a$

$2 = 2 a$

Step 3

Solve for $a$ .

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Step 3.1

Rewrite the equation as $2 a = 2$ .

$2 a = 2$

Step 3.2

Divide each term in $2 a = 2$ by $2$ and simplify.

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Step 3.2.1

Divide each term in $2 a = 2$ by $2$ .

$\frac{2 a}{2} = \frac{2}{2}$

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Cancel the common factor of $2$ .

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Step 3.2.2.1.1

Cancel the common factor.

$\frac{2 a}{2} = \frac{2}{2}$

Step 3.2.2.1.2

Divide $a$ by $1$ .

$a = \frac{2}{2}$

$a = \frac{2}{2}$

$a = \frac{2}{2}$

Step 3.2.3

Simplify the right side.

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Step 3.2.3.1

Divide $2$ by $2$ .

$a = 1$

$a = 1$

$a = 1$

$a = 1$

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