Basic Math Examples

$n = \frac{m}{M}$

Step 1

Rewrite the equation as

$\frac{m}{M} = n$ .

$\frac{m}{M} = n$

Step 2

Find the LCD of the terms in the equation.

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Step 2.1

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$M, 1$

Step 2.2

The LCM of one and any expression is the expression.

$M$

Step 3

Multiply each term in

$\frac{m}{M} = n$ by

$M$ to eliminate the fractions.

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Step 3.1

Multiply each term in

$\frac{m}{M} = n$ by

$M$ .

$\frac{m}{M} M = n M$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

$M$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{m}{M} M = n M$

Step 3.2.1.2

Rewrite the expression.

$m = n M$

Step 4

Solve the equation.

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Step 4.1

Rewrite the equation as

$n M = m$ .

$n M = m$

Step 4.2

Divide each term in

$n M = m$ by

$n$ and simplify.

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Step 4.2.1

Divide each term in

$n M = m$ by

$n$ .

$\frac{n M}{n} = \frac{m}{n}$

Step 4.2.2

Simplify the left side.

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Step 4.2.2.1

Cancel the common factor of

$n$ .

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Step 4.2.2.1.1

Cancel the common factor.

$\frac{n M}{n} = \frac{m}{n}$

Step 4.2.2.1.2

Divide

$M$ by

$1$ .

$M = \frac{m}{n}$