Basic Math Examples

$1792000 = M + \frac{18}{100} \cdot \frac{8}{12} \cdot M$

Step 1

Rewrite the equation as $M + \frac{18}{100} \cdot \frac{8}{12} \cdot M = 1792000$ .

$M + \frac{18}{100} \cdot \frac{8}{12} \cdot M = 1792000$

Step 2

Simplify $M + \frac{18}{100} \cdot \frac{8}{12} \cdot M$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Cancel the common factor of $6$ .

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Step 2.1.1.1

Factor $6$ out of $18$ .

$M + \frac{6 (3)}{100} \cdot \frac{8}{12} \cdot M = 1792000$

Step 2.1.1.2

Factor $6$ out of $12$ .

$M + \frac{6 \cdot 3}{100} \cdot \frac{8}{6 \cdot 2} \cdot M = 1792000$

Step 2.1.1.3

Cancel the common factor.

$M + \frac{6 \cdot 3}{100} \cdot \frac{8}{6 \cdot 2} \cdot M = 1792000$

Step 2.1.1.4

Rewrite the expression.

$M + \frac{3}{100} \cdot \frac{8}{2} \cdot M = 1792000$

Step 2.1.2

Cancel the common factor of $4$ .

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Step 2.1.2.1

Factor $4$ out of $100$ .

$M + \frac{3}{4 (25)} \cdot \frac{8}{2} \cdot M = 1792000$

Step 2.1.2.2

Factor $4$ out of $8$ .

$M + \frac{3}{4 \cdot 25} \cdot \frac{4 \cdot 2}{2} \cdot M = 1792000$

Step 2.1.2.3

Cancel the common factor.

$M + \frac{3}{4 \cdot 25} \cdot \frac{4 \cdot 2}{2} \cdot M = 1792000$

Step 2.1.2.4

Rewrite the expression.

$M + \frac{3}{25} \cdot \frac{2}{2} \cdot M = 1792000$

Step 2.1.3

Multiply $\frac{3}{25}$ by $\frac{2}{2}$ .

$M + \frac{3 \cdot 2}{25 \cdot 2} \cdot M = 1792000$

Step 2.1.4

Multiply $3$ by $2$ .

$M + \frac{6}{25 \cdot 2} \cdot M = 1792000$

Step 2.1.5

Multiply $25$ by $2$ .

$M + \frac{6}{50} \cdot M = 1792000$

Step 2.1.6

Cancel the common factor of $6$ and $50$ .

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Step 2.1.6.1

Factor $2$ out of $6$ .

$M + \frac{2 (3)}{50} \cdot M = 1792000$

Step 2.1.6.2

Cancel the common factors.

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Step 2.1.6.2.1

Factor $2$ out of $50$ .

$M + \frac{2 \cdot 3}{2 \cdot 25} \cdot M = 1792000$

Step 2.1.6.2.2

Cancel the common factor.

$M + \frac{2 \cdot 3}{2 \cdot 25} \cdot M = 1792000$

Step 2.1.6.2.3

Rewrite the expression.

$M + \frac{3}{25} \cdot M = 1792000$

Step 2.1.7

Combine $\frac{3}{25}$ and $M$ .

$M + \frac{3 M}{25} = 1792000$

Step 2.2

To write $M$ as a fraction with a common denominator, multiply by $\frac{25}{25}$ .

$M \cdot \frac{25}{25} + \frac{3 M}{25} = 1792000$

Step 2.3

Simplify terms.

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Step 2.3.1

Combine $M$ and $\frac{25}{25}$ .

$\frac{M \cdot 25}{25} + \frac{3 M}{25} = 1792000$

Step 2.3.2

Combine the numerators over the common denominator.

$\frac{M \cdot 25 + 3 M}{25} = 1792000$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Move $25$ to the left of $M$ .

$\frac{25 \cdot M + 3 M}{25} = 1792000$

Step 2.4.2

Add $25 M$ and $3 M$ .

$\frac{28 M}{25} = 1792000$

Step 3

Multiply both sides of the equation by $\frac{25}{28}$ .

$\frac{25}{28} \cdot \frac{28 M}{25} = \frac{25}{28} \cdot 1792000$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Simplify $\frac{25}{28} \cdot \frac{28 M}{25}$ .

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Step 4.1.1.1

Cancel the common factor of $25$ .

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Step 4.1.1.1.1

Cancel the common factor.

$\frac{25}{28} \cdot \frac{28 M}{25} = \frac{25}{28} \cdot 1792000$

Step 4.1.1.1.2

Rewrite the expression.

$\frac{1}{28} (28 M) = \frac{25}{28} \cdot 1792000$

Step 4.1.1.2

Cancel the common factor of $28$ .

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Step 4.1.1.2.1

Factor $28$ out of $28 M$ .

$\frac{1}{28} (28 (M)) = \frac{25}{28} \cdot 1792000$

Step 4.1.1.2.2

Cancel the common factor.

$\frac{1}{28} (28 M) = \frac{25}{28} \cdot 1792000$

Step 4.1.1.2.3

Rewrite the expression.

$M = \frac{25}{28} \cdot 1792000$

Step 4.2

Simplify the right side.

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Step 4.2.1

Simplify $\frac{25}{28} \cdot 1792000$ .

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Step 4.2.1.1

Cancel the common factor of $28$ .

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Step 4.2.1.1.1

Factor $28$ out of $1792000$ .

$M = \frac{25}{28} \cdot (28 (64000))$

Step 4.2.1.1.2

Cancel the common factor.

$M = \frac{25}{28} \cdot (28 \cdot 64000)$

Step 4.2.1.1.3

Rewrite the expression.

$M = 25 \cdot 64000$

Step 4.2.1.2

Multiply $25$ by $64000$ .

$M = 1600000$