Basic Math Examples

\frac{2 m}{7} = 5

$\frac{2 m}{7} = 5$

Step 1

Multiply both sides of the equation by

\frac{7}{2}

$\frac{7}{2}$ .

\frac{7}{2} \cdot \frac{2 m}{7} = \frac{7}{2} \cdot 5

$\frac{7}{2} \cdot \frac{2 m}{7} = \frac{7}{2} \cdot 5$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify

\frac{7}{2} \cdot \frac{2 m}{7}

$\frac{7}{2} \cdot \frac{2 m}{7}$ .

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Step 2.1.1.1

Cancel the common factor of

7

$7$ .

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Step 2.1.1.1.1

Cancel the common factor.

\frac{7}{2} \cdot \frac{2 m}{7} = \frac{7}{2} \cdot 5

$\frac{7}{2} \cdot \frac{2 m}{7} = \frac{7}{2} \cdot 5$

Step 2.1.1.1.2

Rewrite the expression.

\frac{1}{2} (2 m) = \frac{7}{2} \cdot 5

$\frac{1}{2} (2 m) = \frac{7}{2} \cdot 5$

\frac{1}{2} (2 m) = \frac{7}{2} \cdot 5

$\frac{1}{2} (2 m) = \frac{7}{2} \cdot 5$

Step 2.1.1.2

Cancel the common factor of

2

$2$ .

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Step 2.1.1.2.1

Factor

2

$2$ out of

2 m

$2 m$ .

\frac{1}{2} (2 (m)) = \frac{7}{2} \cdot 5

$\frac{1}{2} (2 (m)) = \frac{7}{2} \cdot 5$

Step 2.1.1.2.2

Cancel the common factor.

\frac{1}{2} (2 m) = \frac{7}{2} \cdot 5

$\frac{1}{2} (2 m) = \frac{7}{2} \cdot 5$

Step 2.1.1.2.3

Rewrite the expression.

m = \frac{7}{2} \cdot 5

$m = \frac{7}{2} \cdot 5$

m = \frac{7}{2} \cdot 5

$m = \frac{7}{2} \cdot 5$

m = \frac{7}{2} \cdot 5

$m = \frac{7}{2} \cdot 5$

m = \frac{7}{2} \cdot 5

$m = \frac{7}{2} \cdot 5$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply

\frac{7}{2} \cdot 5

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

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Step 2.2.1.1

Combine

\frac{7}{2}

$\frac{7}{2}$ and

5

$5$ .

m = \frac{7 \cdot 5}{2}

$m = \frac{7 \cdot 5}{2}$

Step 2.2.1.2

Multiply

7

$7$ by

5

$5$ .

m = \frac{35}{2}

$m = \frac{35}{2}$

m = \frac{35}{2}

$m = \frac{35}{2}$

m = \frac{35}{2}

$m = \frac{35}{2}$

m = \frac{35}{2}

$m = \frac{35}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

m = \frac{35}{2}

$m = \frac{35}{2}$

Decimal Form:

m = 17.5

$m = 17.5$

Mixed Number Form:

m = 17 \frac{1}{2}

$m = 17 \frac{1}{2}$

\frac{2 m}{7} = 5

$\frac{2 m}{7} = 5$

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

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