Basic Math Examples

$\frac{4}{51} \div 1 \frac{2}{17} \cdot \frac{57}{64}$

Step 1

Convert $1 \frac{2}{17}$ to an improper fraction.

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Step 1.1

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

$\frac{4}{51} \div (1 + \frac{2}{17}) \cdot \frac{57}{64}$

Step 1.2

Add $1$ and $\frac{2}{17}$ .

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Step 1.2.1

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

$\frac{4}{51} \div (\frac{17}{17} + \frac{2}{17}) \cdot \frac{57}{64}$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{4}{51} \div \frac{17 + 2}{17} \cdot \frac{57}{64}$

Step 1.2.3

Add $17$ and $2$ .

$\frac{4}{51} \div \frac{19}{17} \cdot \frac{57}{64}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{4}{51} \cdot \frac{17}{19} \cdot \frac{57}{64}$

Step 3

Cancel the common factor of $17$ .

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Step 3.1

Factor $17$ out of $51$ .

$\frac{4}{17 (3)} \cdot \frac{17}{19} \cdot \frac{57}{64}$

Step 3.2

Cancel the common factor.

$\frac{4}{17 \cdot 3} \cdot \frac{17}{19} \cdot \frac{57}{64}$

Step 3.3

Rewrite the expression.

$\frac{4}{3} \cdot \frac{1}{19} \cdot \frac{57}{64}$

Step 4

Multiply $\frac{4}{3}$ by $\frac{1}{19}$ .

$\frac{4}{3 \cdot 19} \cdot \frac{57}{64}$

Step 5

Multiply $3$ by $19$ .

$\frac{4}{57} \cdot \frac{57}{64}$

Step 6

Cancel the common factor of $4$ .

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Step 6.1

Factor $4$ out of $64$ .

$\frac{4}{57} \cdot \frac{57}{4 (16)}$

Step 6.2

Cancel the common factor.

$\frac{4}{57} \cdot \frac{57}{4 \cdot 16}$

Step 6.3

Rewrite the expression.

$\frac{1}{57} \cdot \frac{57}{16}$

Step 7

Cancel the common factor of $57$ .

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Step 7.1

Cancel the common factor.

$\frac{1}{57} \cdot \frac{57}{16}$

Step 7.2

Rewrite the expression.

$\frac{1}{16}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{16}$

Decimal Form:

$0.0625$