Basic Math Examples

$\frac{55}{100} + \frac{9}{10} - \frac{994}{1000}$

Step 1

Cancel the common factor of $994$ and $1000$ .

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Step 1.1

Factor $2$ out of $994$ .

$\frac{55}{100} + \frac{9}{10} - \frac{2 (497)}{1000}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $1000$ .

$\frac{55}{100} + \frac{9}{10} - \frac{2 \cdot 497}{2 \cdot 500}$

Step 1.2.2

Cancel the common factor.

$\frac{55}{100} + \frac{9}{10} - \frac{2 \cdot 497}{2 \cdot 500}$

Step 1.2.3

Rewrite the expression.

$\frac{55}{100} + \frac{9}{10} - \frac{497}{500}$

Step 2

To write $\frac{9}{10}$ as a fraction with a common denominator, multiply by $\frac{10}{10}$ .

$\frac{55}{100} + \frac{9}{10} \cdot \frac{10}{10} - \frac{497}{500}$

Step 3

Write each expression with a common denominator of $100$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{9}{10}$ by $\frac{10}{10}$ .

$\frac{55}{100} + \frac{9 \cdot 10}{10 \cdot 10} - \frac{497}{500}$

Step 3.2

Multiply $10$ by $10$ .

$\frac{55}{100} + \frac{9 \cdot 10}{100} - \frac{497}{500}$

Step 4

Combine the numerators over the common denominator.

$\frac{55 + 9 \cdot 10}{100} - \frac{497}{500}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $9$ by $10$ .

$\frac{55 + 90}{100} - \frac{497}{500}$

Step 5.2

Add $55$ and $90$ .

$\frac{145}{100} - \frac{497}{500}$

Step 6

To write $\frac{145}{100}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{145}{100} \cdot \frac{5}{5} - \frac{497}{500}$

Step 7

Write each expression with a common denominator of $500$ , by multiplying each by an appropriate factor of $1$ .

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Step 7.1

Multiply $\frac{145}{100}$ by $\frac{5}{5}$ .

$\frac{145 \cdot 5}{100 \cdot 5} - \frac{497}{500}$

Step 7.2

Multiply $100$ by $5$ .

$\frac{145 \cdot 5}{500} - \frac{497}{500}$

Step 8

Combine the numerators over the common denominator.

$\frac{145 \cdot 5 - 497}{500}$

Step 9

Simplify the numerator.

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Step 9.1

Multiply $145$ by $5$ .

$\frac{725 - 497}{500}$

Step 9.2

Subtract $497$ from $725$ .

$\frac{228}{500}$

Step 10

Cancel the common factor of $228$ and $500$ .

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Step 10.1

Factor $4$ out of $228$ .

$\frac{4 (57)}{500}$

Step 10.2

Cancel the common factors.

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Step 10.2.1

Factor $4$ out of $500$ .

$\frac{4 \cdot 57}{4 \cdot 125}$

Step 10.2.2

Cancel the common factor.

$\frac{4 \cdot 57}{4 \cdot 125}$

Step 10.2.3

Rewrite the expression.

$\frac{57}{125}$