Basic Math Examples

$195 + \frac{28}{60} + \frac{10}{3600}$

Step 1

Find the common denominator.

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Step 1.1

Write $195$ as a fraction with denominator $1$ .

$\frac{195}{1} + \frac{28}{60} + \frac{10}{3600}$

Step 1.2

Multiply $\frac{195}{1}$ by $\frac{3600}{3600}$ .

$\frac{195}{1} \cdot \frac{3600}{3600} + \frac{28}{60} + \frac{10}{3600}$

Step 1.3

Multiply $\frac{195}{1}$ by $\frac{3600}{3600}$ .

$\frac{195 \cdot 3600}{3600} + \frac{28}{60} + \frac{10}{3600}$

Step 1.4

Multiply $\frac{28}{60}$ by $\frac{60}{60}$ .

$\frac{195 \cdot 3600}{3600} + \frac{28}{60} \cdot \frac{60}{60} + \frac{10}{3600}$

Step 1.5

Multiply $\frac{28}{60}$ by $\frac{60}{60}$ .

$\frac{195 \cdot 3600}{3600} + \frac{28 \cdot 60}{60 \cdot 60} + \frac{10}{3600}$

Step 1.6

Multiply $60$ by $60$ .

$\frac{195 \cdot 3600}{3600} + \frac{28 \cdot 60}{3600} + \frac{10}{3600}$

Step 2

Combine the numerators over the common denominator.

$\frac{195 \cdot 3600 + 28 \cdot 60 + 10}{3600}$

Step 3

Simplify each term.

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Step 3.1

Multiply $195$ by $3600$ .

$\frac{702000 + 28 \cdot 60 + 10}{3600}$

Step 3.2

Multiply $28$ by $60$ .

$\frac{702000 + 1680 + 10}{3600}$

Step 4

Reduce the expression by cancelling the common factors.

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Step 4.1

Add $702000$ and $1680$ .

$\frac{703680 + 10}{3600}$

Step 4.2

Add $703680$ and $10$ .

$\frac{703690}{3600}$

Step 4.3

Cancel the common factor of $703690$ and $3600$ .

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Step 4.3.1

Factor $10$ out of $703690$ .

$\frac{10 (70369)}{3600}$

Step 4.3.2

Cancel the common factors.

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Step 4.3.2.1

Factor $10$ out of $3600$ .

$\frac{10 \cdot 70369}{10 \cdot 360}$

Step 4.3.2.2

Cancel the common factor.

$\frac{10 \cdot 70369}{10 \cdot 360}$

Step 4.3.2.3

Rewrite the expression.

$\frac{70369}{360}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{70369}{360}$

Decimal Form:

$195.469\overline{4}$

Mixed Number Form:

$195 \frac{169}{360}$