Basic Math Examples

\frac{8}{\frac{45 y}{\frac{9}{35 y}}}

$\frac{8}{\frac{45 y}{\frac{9}{35 y}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

8 \frac{\frac{9}{35 y}}{45 y}

$8 \frac{\frac{9}{35 y}}{45 y}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

8 (\frac{9}{35 y} \cdot \frac{1}{45 y})

$8 (\frac{9}{35 y} \cdot \frac{1}{45 y})$

Step 3

Cancel the common factor of

9

$9$ .

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Step 3.1

Factor

9

$9$ out of

45 y

$45 y$ .

8 (\frac{9}{35 y} \cdot \frac{1}{9 (5 y)})

$8 (\frac{9}{35 y} \cdot \frac{1}{9 (5 y)})$

Step 3.2

Cancel the common factor.

8 (\frac{9}{35 y} \cdot \frac{1}{9 (5 y)})

$8 (\frac{9}{35 y} \cdot \frac{1}{9 (5 y)})$

Step 3.3

Rewrite the expression.

$8 (\frac{1}{35 y} \cdot \frac{1}{5 y})$

Step 4

Multiply

$\frac{1}{35 y}$ by

$\frac{1}{5 y}$ .

$8 \frac{1}{35 y (5 y)}$

Step 5

Multiply

$5$ by

$35$ .

$8 \frac{1}{175 y \cdot y}$

Step 6

Raise

$y$ to the power of

$1$ .

$8 \frac{1}{175 (y^{1} y)}$

Step 7

Raise

$y$ to the power of

$1$ .

$8 \frac{1}{175 (y^{1} y^{1})}$

Step 8

Use the power rule

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

$8 \frac{1}{175 y^{1 + 1}}$

Step 9

Add

$1$ and

$1$ .

$8 \frac{1}{175 y^{2}}$

Step 10

Combine

$8$ and

$\frac{1}{175 y^{2}}$ .

$\frac{8}{175 y^{2}}$

$\frac{8}{\frac{45 y}{\frac{9}{35 y}}}$

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