Basic Math Examples

$\frac{20 + (2 (60) + \frac{90}{4} + 100) + 22}{100} + 10$

Step 1

Remove parentheses.

$\frac{20 + 2 (60) + \frac{90}{4} + 100 + 22}{100} + 10$

Step 2

Multiply $2$ by $60$ .

$\frac{20 + 120 + \frac{90}{4} + 100 + 22}{100} + 10$

Step 3

To write $120$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{20 + 120 \cdot \frac{4}{4} + \frac{90}{4} + 100 + 22}{100} + 10$

Step 4

Combine $120$ and $\frac{4}{4}$ .

$\frac{20 + \frac{120 \cdot 4}{4} + \frac{90}{4} + 100 + 22}{100} + 10$

Step 5

Combine the numerators over the common denominator.

$\frac{20 + \frac{120 \cdot 4 + 90}{4} + 100 + 22}{100} + 10$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $120$ by $4$ .

$\frac{20 + \frac{480 + 90}{4} + 100 + 22}{100} + 10$

Step 6.2

Add $480$ and $90$ .

$\frac{20 + \frac{570}{4} + 100 + 22}{100} + 10$

Step 7

To write $100$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{20 + \frac{570}{4} + 100 \cdot \frac{4}{4} + 22}{100} + 10$

Step 8

Combine $100$ and $\frac{4}{4}$ .

$\frac{20 + \frac{570}{4} + \frac{100 \cdot 4}{4} + 22}{100} + 10$

Step 9

Combine the numerators over the common denominator.

$\frac{20 + \frac{570 + 100 \cdot 4}{4} + 22}{100} + 10$

Step 10

Simplify the numerator.

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Step 10.1

Multiply $100$ by $4$ .

$\frac{20 + \frac{570 + 400}{4} + 22}{100} + 10$

Step 10.2

Add $570$ and $400$ .

$\frac{20 + \frac{970}{4} + 22}{100} + 10$

Step 11

To write $20$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{20 \cdot \frac{4}{4} + \frac{970}{4} + 22}{100} + 10$

Step 12

Combine $20$ and $\frac{4}{4}$ .

$\frac{\frac{20 \cdot 4}{4} + \frac{970}{4} + 22}{100} + 10$

Step 13

Combine the numerators over the common denominator.

$\frac{\frac{20 \cdot 4 + 970}{4} + 22}{100} + 10$

Step 14

Simplify the numerator.

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Step 14.1

Multiply $20$ by $4$ .

$\frac{\frac{80 + 970}{4} + 22}{100} + 10$

Step 14.2

Add $80$ and $970$ .

$\frac{\frac{1050}{4} + 22}{100} + 10$

Step 15

To write $22$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{\frac{1050}{4} + 22 \cdot \frac{4}{4}}{100} + 10$

Step 16

Combine $22$ and $\frac{4}{4}$ .

$\frac{\frac{1050}{4} + \frac{22 \cdot 4}{4}}{100} + 10$

Step 17

Combine the numerators over the common denominator.

$\frac{\frac{1050 + 22 \cdot 4}{4}}{100} + 10$

Step 18

Simplify the numerator.

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Step 18.1

Multiply $22$ by $4$ .

$\frac{\frac{1050 + 88}{4}}{100} + 10$

Step 18.2

Add $1050$ and $88$ .

$\frac{\frac{1138}{4}}{100} + 10$

Step 19

Simplify each term.

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Step 19.1

Cancel the common factor of $1138$ and $4$ .

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Step 19.1.1

Factor $2$ out of $1138$ .

$\frac{\frac{2 (569)}{4}}{100} + 10$

Step 19.1.2

Cancel the common factors.

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Step 19.1.2.1

Factor $2$ out of $4$ .

$\frac{\frac{2 \cdot 569}{2 \cdot 2}}{100} + 10$

Step 19.1.2.2

Cancel the common factor.

$\frac{\frac{2 \cdot 569}{2 \cdot 2}}{100} + 10$

Step 19.1.2.3

Rewrite the expression.

$\frac{\frac{569}{2}}{100} + 10$

Step 19.2

Multiply the numerator by the reciprocal of the denominator.

$\frac{569}{2} \cdot \frac{1}{100} + 10$

Step 19.3

Multiply $\frac{569}{2} \cdot \frac{1}{100}$ .

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Step 19.3.1

Multiply $\frac{569}{2}$ by $\frac{1}{100}$ .

$\frac{569}{2 \cdot 100} + 10$

Step 19.3.2

Multiply $2$ by $100$ .

$\frac{569}{200} + 10$

Step 20

To write $10$ as a fraction with a common denominator, multiply by $\frac{200}{200}$ .

$\frac{569}{200} + 10 \cdot \frac{200}{200}$

Step 21

Combine $10$ and $\frac{200}{200}$ .

$\frac{569}{200} + \frac{10 \cdot 200}{200}$

Step 22

Combine the numerators over the common denominator.

$\frac{569 + 10 \cdot 200}{200}$

Step 23

Simplify the numerator.

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Step 23.1

Multiply $10$ by $200$ .

$\frac{569 + 2000}{200}$

Step 23.2

Add $569$ and $2000$ .

$\frac{2569}{200}$

Step 24

The result can be shown in multiple forms.

Exact Form:

$\frac{2569}{200}$

Decimal Form:

$12.845$

Mixed Number Form:

$12 \frac{169}{200}$