Basic Math Examples

$3 \frac{7}{10} \cdot \frac{1}{100}$

Step 1

Convert $3 \frac{7}{10}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$(3 + \frac{7}{10}) \cdot \frac{1}{100}$

Step 1.2

Add $3$ and $\frac{7}{10}$ .

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Step 1.2.1

To write $3$ as a fraction with a common denominator, multiply by $\frac{10}{10}$ .

$(3 \cdot \frac{10}{10} + \frac{7}{10}) \cdot \frac{1}{100}$

Step 1.2.2

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

$(\frac{3 \cdot 10}{10} + \frac{7}{10}) \cdot \frac{1}{100}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{3 \cdot 10 + 7}{10} \cdot \frac{1}{100}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $3$ by $10$ .

$\frac{30 + 7}{10} \cdot \frac{1}{100}$

Step 1.2.4.2

Add $30$ and $7$ .

$\frac{37}{10} \cdot \frac{1}{100}$

Step 2

Multiply $\frac{37}{10} \cdot \frac{1}{100}$ .

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Step 2.1

Multiply $\frac{37}{10}$ by $\frac{1}{100}$ .

$\frac{37}{10 \cdot 100}$

Step 2.2

Multiply $10$ by $100$ .

$\frac{37}{1000}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{37}{1000}$

Decimal Form:

$0.037$