Basic Math Examples

$\frac{x \frac{3}{4} y \frac{3}{5}}{x \frac{4}{5} y \frac{1}{3}}$

Step 1

Reduce the expression by cancelling the common factors.

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Step 1.1

Cancel the common factor of $x$ .

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Step 1.1.1

Cancel the common factor.

$\frac{x \frac{3}{4} \cdot (y (\frac{3}{5}))}{x \frac{4}{5} \cdot (y (\frac{1}{3}))}$

Step 1.1.2

Rewrite the expression.

$\frac{(\frac{3}{4}) \cdot (y (\frac{3}{5}))}{(\frac{4}{5}) \cdot (y (\frac{1}{3}))}$

Step 1.2

Cancel the common factor of $y$ .

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Step 1.2.1

Cancel the common factor.

$\frac{\frac{3}{4} \cdot (y \frac{3}{5})}{\frac{4}{5} \cdot (y \frac{1}{3})}$

Step 1.2.2

Rewrite the expression.

$\frac{(\frac{3}{4}) \cdot (\frac{3}{5})}{(\frac{4}{5}) \cdot (\frac{1}{3})}$

Step 2

Multiply $\frac{3}{4}$ by $\frac{3}{5}$ .

$\frac{\frac{3 \cdot 3}{4 \cdot 5}}{\frac{4}{5} \cdot \frac{1}{3}}$

Step 3

Multiply $\frac{4}{5}$ by $\frac{1}{3}$ .

$\frac{\frac{3 \cdot 3}{4 \cdot 5}}{\frac{4}{5 \cdot 3}}$

Step 4

Multiply.

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Step 4.1

Multiply $3$ by $3$ .

$\frac{\frac{9}{4 \cdot 5}}{\frac{4}{5 \cdot 3}}$

Step 4.2

Multiply $4$ by $5$ .

$\frac{\frac{9}{20}}{\frac{4}{5 \cdot 3}}$

Step 4.3

Multiply $5$ by $3$ .

$\frac{\frac{9}{20}}{\frac{4}{15}}$

Step 5

Multiply the numerator by the reciprocal of the denominator.

$\frac{9}{20} \cdot \frac{15}{4}$

Step 6

Cancel the common factor of $5$ .

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Step 6.1

Factor $5$ out of $20$ .

$\frac{9}{5 (4)} \cdot \frac{15}{4}$

Step 6.2

Factor $5$ out of $15$ .

$\frac{9}{5 \cdot 4} \cdot \frac{5 \cdot 3}{4}$

Step 6.3

Cancel the common factor.

$\frac{9}{5 \cdot 4} \cdot \frac{5 \cdot 3}{4}$

Step 6.4

Rewrite the expression.

$\frac{9}{4} \cdot \frac{3}{4}$

Step 7

Multiply $\frac{9}{4}$ by $\frac{3}{4}$ .

$\frac{9 \cdot 3}{4 \cdot 4}$

Step 8

Multiply.

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Step 8.1

Multiply $9$ by $3$ .

$\frac{27}{4 \cdot 4}$

Step 8.2

Multiply $4$ by $4$ .

$\frac{27}{16}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{27}{16}$

Decimal Form:

$1.6875$

Mixed Number Form:

$1 \frac{11}{16}$