Basic Math Examples

$L = (450 + 150) + 2 \cdot 60 + \frac{450 - 150}{4 \cdot 60}$

Step 1

Remove parentheses.

$L = 450 + 150 + 2 \cdot 60 + \frac{450 - 150}{4 \cdot 60}$

Step 2

Simplify $450 + 150 + 2 \cdot 60 + \frac{450 - 150}{4 \cdot 60}$ .

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Step 2.1

Subtract $150$ from $450$ .

$L = 450 + 150 + 2 \cdot 60 + \frac{300}{4 \cdot 60}$

Step 2.2

Simplify each term.

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Step 2.2.1

Multiply $2$ by $60$ .

$L = 450 + 150 + 120 + \frac{300}{4 \cdot 60}$

Step 2.2.2

Cancel the common factor of $300$ and $4$ .

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Step 2.2.2.1

Factor $4$ out of $300$ .

$L = 450 + 150 + 120 + \frac{4 \cdot 75}{4 \cdot 60}$

Step 2.2.2.2

Cancel the common factors.

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Step 2.2.2.2.1

Factor $4$ out of $4 \cdot 60$ .

$L = 450 + 150 + 120 + \frac{4 \cdot 75}{4 (60)}$

Step 2.2.2.2.2

Cancel the common factor.

$L = 450 + 150 + 120 + \frac{4 \cdot 75}{4 \cdot 60}$

Step 2.2.2.2.3

Rewrite the expression.

$L = 450 + 150 + 120 + \frac{75}{60}$

Step 2.2.3

Cancel the common factor of $75$ and $60$ .

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Step 2.2.3.1

Factor $15$ out of $75$ .

$L = 450 + 150 + 120 + \frac{15 (5)}{60}$

Step 2.2.3.2

Cancel the common factors.

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Step 2.2.3.2.1

Factor $15$ out of $60$ .

$L = 450 + 150 + 120 + \frac{15 \cdot 5}{15 \cdot 4}$

Step 2.2.3.2.2

Cancel the common factor.

$L = 450 + 150 + 120 + \frac{15 \cdot 5}{15 \cdot 4}$

Step 2.2.3.2.3

Rewrite the expression.

$L = 450 + 150 + 120 + \frac{5}{4}$

Step 2.3

Find the common denominator.

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Step 2.3.1

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

$L = \frac{450}{1} + 150 + 120 + \frac{5}{4}$

Step 2.3.2

Multiply $\frac{450}{1}$ by $\frac{4}{4}$ .

$L = \frac{450}{1} \cdot \frac{4}{4} + 150 + 120 + \frac{5}{4}$

Step 2.3.3

Multiply $\frac{450}{1}$ by $\frac{4}{4}$ .

$L = \frac{450 \cdot 4}{4} + 150 + 120 + \frac{5}{4}$

Step 2.3.4

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

$L = \frac{450 \cdot 4}{4} + \frac{150}{1} + 120 + \frac{5}{4}$

Step 2.3.5

Multiply $\frac{150}{1}$ by $\frac{4}{4}$ .

$L = \frac{450 \cdot 4}{4} + \frac{150}{1} \cdot \frac{4}{4} + 120 + \frac{5}{4}$

Step 2.3.6

Multiply $\frac{150}{1}$ by $\frac{4}{4}$ .

$L = \frac{450 \cdot 4}{4} + \frac{150 \cdot 4}{4} + 120 + \frac{5}{4}$

Step 2.3.7

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

$L = \frac{450 \cdot 4}{4} + \frac{150 \cdot 4}{4} + \frac{120}{1} + \frac{5}{4}$

Step 2.3.8

Multiply $\frac{120}{1}$ by $\frac{4}{4}$ .

$L = \frac{450 \cdot 4}{4} + \frac{150 \cdot 4}{4} + \frac{120}{1} \cdot \frac{4}{4} + \frac{5}{4}$

Step 2.3.9

Multiply $\frac{120}{1}$ by $\frac{4}{4}$ .

$L = \frac{450 \cdot 4}{4} + \frac{150 \cdot 4}{4} + \frac{120 \cdot 4}{4} + \frac{5}{4}$

Step 2.4

Combine the numerators over the common denominator.

$L = \frac{450 \cdot 4 + 150 \cdot 4 + 120 \cdot 4 + 5}{4}$

Step 2.5

Simplify each term.

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Step 2.5.1

Multiply $450$ by $4$ .

$L = \frac{1800 + 150 \cdot 4 + 120 \cdot 4 + 5}{4}$

Step 2.5.2

Multiply $150$ by $4$ .

$L = \frac{1800 + 600 + 120 \cdot 4 + 5}{4}$

Step 2.5.3

Multiply $120$ by $4$ .

$L = \frac{1800 + 600 + 480 + 5}{4}$

Step 2.6

Simplify by adding numbers.

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Step 2.6.1

Add $1800$ and $600$ .

$L = \frac{2400 + 480 + 5}{4}$

Step 2.6.2

Add $2400$ and $480$ .

$L = \frac{2880 + 5}{4}$

Step 2.6.3

Add $2880$ and $5$ .

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$L = 721.25$

Mixed Number Form:

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