Basic Math Examples

$9 \cdot 10 + 4 \cdot 1 + 5 \cdot \frac{1}{10} + 6 \cdot \frac{1}{100}$

Step 1

Simplify each term.

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Step 1.1

Multiply $9$ by $10$ .

$90 + 4 \cdot 1 + 5 \cdot \frac{1}{10} + 6 \cdot \frac{1}{100}$

Step 1.2

Multiply $4$ by $1$ .

$90 + 4 + 5 \cdot \frac{1}{10} + 6 \cdot \frac{1}{100}$

Step 1.3

Cancel the common factor of $5$ .

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Step 1.3.1

Factor $5$ out of $10$ .

$90 + 4 + 5 \cdot \frac{1}{5 (2)} + 6 \cdot \frac{1}{100}$

Step 1.3.2

Cancel the common factor.

$90 + 4 + 5 \cdot \frac{1}{5 \cdot 2} + 6 \cdot \frac{1}{100}$

Step 1.3.3

Rewrite the expression.

$90 + 4 + \frac{1}{2} + 6 \cdot \frac{1}{100}$

Step 1.4

Cancel the common factor of $2$ .

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Step 1.4.1

Factor $2$ out of $6$ .

$90 + 4 + \frac{1}{2} + 2 (3) \cdot \frac{1}{100}$

Step 1.4.2

Factor $2$ out of $100$ .

$90 + 4 + \frac{1}{2} + 2 \cdot 3 \cdot \frac{1}{2 \cdot 50}$

Step 1.4.3

Cancel the common factor.

$90 + 4 + \frac{1}{2} + 2 \cdot 3 \cdot \frac{1}{2 \cdot 50}$

Step 1.4.4

Rewrite the expression.

$90 + 4 + \frac{1}{2} + 3 \cdot \frac{1}{50}$

Step 1.5

Combine $3$ and $\frac{1}{50}$ .

$90 + 4 + \frac{1}{2} + \frac{3}{50}$

Step 2

Find the common denominator.

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Step 2.1

Write $90$ as a fraction with denominator $1$ .

$\frac{90}{1} + 4 + \frac{1}{2} + \frac{3}{50}$

Step 2.2

Multiply $\frac{90}{1}$ by $\frac{50}{50}$ .

$\frac{90}{1} \cdot \frac{50}{50} + 4 + \frac{1}{2} + \frac{3}{50}$

Step 2.3

Multiply $\frac{90}{1}$ by $\frac{50}{50}$ .

$\frac{90 \cdot 50}{50} + 4 + \frac{1}{2} + \frac{3}{50}$

Step 2.4

Write $4$ as a fraction with denominator $1$ .

$\frac{90 \cdot 50}{50} + \frac{4}{1} + \frac{1}{2} + \frac{3}{50}$

Step 2.5

Multiply $\frac{4}{1}$ by $\frac{50}{50}$ .

$\frac{90 \cdot 50}{50} + \frac{4}{1} \cdot \frac{50}{50} + \frac{1}{2} + \frac{3}{50}$

Step 2.6

Multiply $\frac{4}{1}$ by $\frac{50}{50}$ .

$\frac{90 \cdot 50}{50} + \frac{4 \cdot 50}{50} + \frac{1}{2} + \frac{3}{50}$

Step 2.7

Multiply $\frac{1}{2}$ by $\frac{25}{25}$ .

$\frac{90 \cdot 50}{50} + \frac{4 \cdot 50}{50} + \frac{1}{2} \cdot \frac{25}{25} + \frac{3}{50}$

Step 2.8

Multiply $\frac{1}{2}$ by $\frac{25}{25}$ .

$\frac{90 \cdot 50}{50} + \frac{4 \cdot 50}{50} + \frac{25}{2 \cdot 25} + \frac{3}{50}$

Step 2.9

Multiply $2$ by $25$ .

$\frac{90 \cdot 50}{50} + \frac{4 \cdot 50}{50} + \frac{25}{50} + \frac{3}{50}$

Step 3

Combine the numerators over the common denominator.

$\frac{90 \cdot 50 + 4 \cdot 50 + 25 + 3}{50}$

Step 4

Simplify each term.

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Step 4.1

Multiply $90$ by $50$ .

$\frac{4500 + 4 \cdot 50 + 25 + 3}{50}$

Step 4.2

Multiply $4$ by $50$ .

$\frac{4500 + 200 + 25 + 3}{50}$

Step 5

Reduce the expression by cancelling the common factors.

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Step 5.1

Add $4500$ and $200$ .

$\frac{4700 + 25 + 3}{50}$

Step 5.2

Simplify by adding numbers.

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Step 5.2.1

Add $4700$ and $25$ .

$\frac{4725 + 3}{50}$

Step 5.2.2

Add $4725$ and $3$ .

$\frac{4728}{50}$

Step 5.3

Cancel the common factor of $4728$ and $50$ .

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Step 5.3.1

Factor $2$ out of $4728$ .

$\frac{2 (2364)}{50}$

Step 5.3.2

Cancel the common factors.

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Step 5.3.2.1

Factor $2$ out of $50$ .

$\frac{2 \cdot 2364}{2 \cdot 25}$

Step 5.3.2.2

Cancel the common factor.

$\frac{2 \cdot 2364}{2 \cdot 25}$

Step 5.3.2.3

Rewrite the expression.

$\frac{2364}{25}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{2364}{25}$

Decimal Form:

$94.56$

Mixed Number Form:

$94 \frac{14}{25}$