Basic Math Examples

$L = (450 + 150) + 120 + \frac{450 - 150}{240}$

Step 1

Remove parentheses.

$L = 450 + 150 + 120 + \frac{450 - 150}{240}$

Step 2

Simplify $450 + 150 + 120 + \frac{450 - 150}{240}$ .

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Step 2.1

Subtract $150$ from $450$ .

$L = 450 + 150 + 120 + \frac{300}{240}$

Step 2.2

Find the common denominator.

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Step 2.2.1

Write $450$ as a fraction with denominator $1$ .

$L = \frac{450}{1} + 150 + 120 + \frac{300}{240}$

Step 2.2.2

Multiply $\frac{450}{1}$ by $\frac{240}{240}$ .

$L = \frac{450}{1} \cdot \frac{240}{240} + 150 + 120 + \frac{300}{240}$

Step 2.2.3

Multiply $\frac{450}{1}$ by $\frac{240}{240}$ .

$L = \frac{450 \cdot 240}{240} + 150 + 120 + \frac{300}{240}$

Step 2.2.4

Write $150$ as a fraction with denominator $1$ .

$L = \frac{450 \cdot 240}{240} + \frac{150}{1} + 120 + \frac{300}{240}$

Step 2.2.5

Multiply $\frac{150}{1}$ by $\frac{240}{240}$ .

$L = \frac{450 \cdot 240}{240} + \frac{150}{1} \cdot \frac{240}{240} + 120 + \frac{300}{240}$

Step 2.2.6

Multiply $\frac{150}{1}$ by $\frac{240}{240}$ .

$L = \frac{450 \cdot 240}{240} + \frac{150 \cdot 240}{240} + 120 + \frac{300}{240}$

Step 2.2.7

Write $120$ as a fraction with denominator $1$ .

$L = \frac{450 \cdot 240}{240} + \frac{150 \cdot 240}{240} + \frac{120}{1} + \frac{300}{240}$

Step 2.2.8

Multiply $\frac{120}{1}$ by $\frac{240}{240}$ .

$L = \frac{450 \cdot 240}{240} + \frac{150 \cdot 240}{240} + \frac{120}{1} \cdot \frac{240}{240} + \frac{300}{240}$

Step 2.2.9

Multiply $\frac{120}{1}$ by $\frac{240}{240}$ .

$L = \frac{450 \cdot 240}{240} + \frac{150 \cdot 240}{240} + \frac{120 \cdot 240}{240} + \frac{300}{240}$

Step 2.3

Combine the numerators over the common denominator.

$L = \frac{450 \cdot 240 + 150 \cdot 240 + 120 \cdot 240 + 300}{240}$

Step 2.4

Simplify each term.

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Step 2.4.1

Multiply $450$ by $240$ .

$L = \frac{108000 + 150 \cdot 240 + 120 \cdot 240 + 300}{240}$

Step 2.4.2

Multiply $150$ by $240$ .

$L = \frac{108000 + 36000 + 120 \cdot 240 + 300}{240}$

Step 2.4.3

Multiply $120$ by $240$ .

$L = \frac{108000 + 36000 + 28800 + 300}{240}$

Step 2.5

Reduce the expression by cancelling the common factors.

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Step 2.5.1

Add $108000$ and $36000$ .

$L = \frac{144000 + 28800 + 300}{240}$

Step 2.5.2

Simplify by adding numbers.

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Step 2.5.2.1

Add $144000$ and $28800$ .

$L = \frac{172800 + 300}{240}$

Step 2.5.2.2

Add $172800$ and $300$ .

$L = \frac{173100}{240}$

Step 2.5.3

Cancel the common factor of $173100$ and $240$ .

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Step 2.5.3.1

Factor $60$ out of $173100$ .

$L = \frac{60 (2885)}{240}$

Step 2.5.3.2

Cancel the common factors.

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Step 2.5.3.2.1

Factor $60$ out of $240$ .

$L = \frac{60 \cdot 2885}{60 \cdot 4}$

Step 2.5.3.2.2

Cancel the common factor.

$L = \frac{60 \cdot 2885}{60 \cdot 4}$

Step 2.5.3.2.3

Rewrite the expression.

$L = \frac{2885}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$L = \frac{2885}{4}$

Decimal Form:

$L = 721.25$

Mixed Number Form:

$L = 721 \frac{1}{4}$