Basic Math Examples

$\frac{17}{45} \cdot (900) + \frac{10}{45} \cdot (1050) + \frac{9}{45} \cdot (2150) + \frac{9}{45} \cdot (1500)$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $45$ .

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Step 1.1.1

Factor $45$ out of $900$ .

$\frac{17}{45} \cdot (45 (20)) + \frac{10}{45} \cdot (1050) + \frac{9}{45} \cdot (2150) + \frac{9}{45} \cdot (1500)$

Step 1.1.2

Cancel the common factor.

$\frac{17}{45} \cdot (45 \cdot 20) + \frac{10}{45} \cdot (1050) + \frac{9}{45} \cdot (2150) + \frac{9}{45} \cdot (1500)$

Step 1.1.3

Rewrite the expression.

$17 \cdot 20 + \frac{10}{45} \cdot (1050) + \frac{9}{45} \cdot (2150) + \frac{9}{45} \cdot (1500)$

Step 1.2

Multiply $17$ by $20$ .

$340 + \frac{10}{45} \cdot (1050) + \frac{9}{45} \cdot (2150) + \frac{9}{45} \cdot (1500)$

Step 1.3

Cancel the common factor of $15$ .

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Step 1.3.1

Factor $15$ out of $45$ .

$340 + \frac{10}{15 (3)} \cdot 1050 + \frac{9}{45} \cdot (2150) + \frac{9}{45} \cdot (1500)$

Step 1.3.2

Factor $15$ out of $1050$ .

$340 + \frac{10}{15 \cdot 3} \cdot (15 \cdot 70) + \frac{9}{45} \cdot (2150) + \frac{9}{45} \cdot (1500)$

Step 1.3.3

Cancel the common factor.

$340 + \frac{10}{15 \cdot 3} \cdot (15 \cdot 70) + \frac{9}{45} \cdot (2150) + \frac{9}{45} \cdot (1500)$

Step 1.3.4

Rewrite the expression.

$340 + \frac{10}{3} \cdot 70 + \frac{9}{45} \cdot (2150) + \frac{9}{45} \cdot (1500)$

Step 1.4

Combine $\frac{10}{3}$ and $70$ .

$340 + \frac{10 \cdot 70}{3} + \frac{9}{45} \cdot (2150) + \frac{9}{45} \cdot (1500)$

Step 1.5

Multiply $10$ by $70$ .

$340 + \frac{700}{3} + \frac{9}{45} \cdot (2150) + \frac{9}{45} \cdot (1500)$

Step 1.6

Cancel the common factor of $5$ .

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Step 1.6.1

Factor $5$ out of $45$ .

$340 + \frac{700}{3} + \frac{9}{5 (9)} \cdot 2150 + \frac{9}{45} \cdot (1500)$

Step 1.6.2

Factor $5$ out of $2150$ .

$340 + \frac{700}{3} + \frac{9}{5 \cdot 9} \cdot (5 \cdot 430) + \frac{9}{45} \cdot (1500)$

Step 1.6.3

Cancel the common factor.

$340 + \frac{700}{3} + \frac{9}{5 \cdot 9} \cdot (5 \cdot 430) + \frac{9}{45} \cdot (1500)$

Step 1.6.4

Rewrite the expression.

$340 + \frac{700}{3} + \frac{9}{9} \cdot 430 + \frac{9}{45} \cdot (1500)$

Step 1.7

Combine $\frac{9}{9}$ and $430$ .

$340 + \frac{700}{3} + \frac{9 \cdot 430}{9} + \frac{9}{45} \cdot (1500)$

Step 1.8

Multiply $9$ by $430$ .

$340 + \frac{700}{3} + \frac{3870}{9} + \frac{9}{45} \cdot (1500)$

Step 1.9

Divide $3870$ by $9$ .

$340 + \frac{700}{3} + 430 + \frac{9}{45} \cdot (1500)$

Step 1.10

Cancel the common factor of $15$ .

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Step 1.10.1

Factor $15$ out of $45$ .

$340 + \frac{700}{3} + 430 + \frac{9}{15 (3)} \cdot 1500$

Step 1.10.2

Factor $15$ out of $1500$ .

$340 + \frac{700}{3} + 430 + \frac{9}{15 \cdot 3} \cdot (15 \cdot 100)$

Step 1.10.3

Cancel the common factor.

$340 + \frac{700}{3} + 430 + \frac{9}{15 \cdot 3} \cdot (15 \cdot 100)$

Step 1.10.4

Rewrite the expression.

$340 + \frac{700}{3} + 430 + \frac{9}{3} \cdot 100$

Step 1.11

Combine $\frac{9}{3}$ and $100$ .

$340 + \frac{700}{3} + 430 + \frac{9 \cdot 100}{3}$

Step 1.12

Multiply $9$ by $100$ .

$340 + \frac{700}{3} + 430 + \frac{900}{3}$

Step 1.13

Divide $900$ by $3$ .

$340 + \frac{700}{3} + 430 + 300$

Step 2

Find the common denominator.

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Step 2.1

Write $340$ as a fraction with denominator $1$ .

$\frac{340}{1} + \frac{700}{3} + 430 + 300$

Step 2.2

Multiply $\frac{340}{1}$ by $\frac{3}{3}$ .

$\frac{340}{1} \cdot \frac{3}{3} + \frac{700}{3} + 430 + 300$

Step 2.3

Multiply $\frac{340}{1}$ by $\frac{3}{3}$ .

$\frac{340 \cdot 3}{3} + \frac{700}{3} + 430 + 300$

Step 2.4

Write $430$ as a fraction with denominator $1$ .

$\frac{340 \cdot 3}{3} + \frac{700}{3} + \frac{430}{1} + 300$

Step 2.5

Multiply $\frac{430}{1}$ by $\frac{3}{3}$ .

$\frac{340 \cdot 3}{3} + \frac{700}{3} + \frac{430}{1} \cdot \frac{3}{3} + 300$

Step 2.6

Multiply $\frac{430}{1}$ by $\frac{3}{3}$ .

$\frac{340 \cdot 3}{3} + \frac{700}{3} + \frac{430 \cdot 3}{3} + 300$

Step 2.7

Write $300$ as a fraction with denominator $1$ .

$\frac{340 \cdot 3}{3} + \frac{700}{3} + \frac{430 \cdot 3}{3} + \frac{300}{1}$

Step 2.8

Multiply $\frac{300}{1}$ by $\frac{3}{3}$ .

$\frac{340 \cdot 3}{3} + \frac{700}{3} + \frac{430 \cdot 3}{3} + \frac{300}{1} \cdot \frac{3}{3}$

Step 2.9

Multiply $\frac{300}{1}$ by $\frac{3}{3}$ .

$\frac{340 \cdot 3}{3} + \frac{700}{3} + \frac{430 \cdot 3}{3} + \frac{300 \cdot 3}{3}$

Step 3

Combine the numerators over the common denominator.

$\frac{340 \cdot 3 + 700 + 430 \cdot 3 + 300 \cdot 3}{3}$

Step 4

Simplify each term.

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Step 4.1

Multiply $340$ by $3$ .

$\frac{1020 + 700 + 430 \cdot 3 + 300 \cdot 3}{3}$

Step 4.2

Multiply $430$ by $3$ .

$\frac{1020 + 700 + 1290 + 300 \cdot 3}{3}$

Step 4.3

Multiply $300$ by $3$ .

$\frac{1020 + 700 + 1290 + 900}{3}$

Step 5

Simplify by adding numbers.

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Step 5.1

Add $1020$ and $700$ .

$\frac{1720 + 1290 + 900}{3}$

Step 5.2

Add $1720$ and $1290$ .

$\frac{3010 + 900}{3}$

Step 5.3

Add $3010$ and $900$ .

$\frac{3910}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{3910}{3}$

Decimal Form:

$1303.\overline{3}$

Mixed Number Form:

$1303 \frac{1}{3}$