Basic Math Examples

$\frac{5 a}{6 y} \cdot \frac{36 a y}{5} \cdot \frac{10}{54 a}$

Step 1

Cancel the common factor of $5$ .

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Step 1.1

Factor $5$ out of $5 a$ .

$\frac{5 (a)}{6 y} \cdot \frac{36 a y}{5} \cdot \frac{10}{54 a}$

Step 1.2

Cancel the common factor.

$\frac{5 a}{6 y} \cdot \frac{36 a y}{5} \cdot \frac{10}{54 a}$

Step 1.3

Rewrite the expression.

$\frac{a}{6 y} \cdot (36 a y) \cdot \frac{10}{54 a}$

Step 2

Cancel the common factor of $6 y$ .

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Step 2.1

Factor $6 y$ out of $36 a y$ .

$\frac{a}{6 y} \cdot (6 y (6 a)) \cdot \frac{10}{54 a}$

Step 2.2

Cancel the common factor.

$\frac{a}{6 y} \cdot (6 y (6 a)) \cdot \frac{10}{54 a}$

Step 2.3

Rewrite the expression.

$a \cdot (6 a) \cdot \frac{10}{54 a}$

Step 3

Raise $a$ to the power of $1$ .

$6 (a^{1} a) \cdot \frac{10}{54 a}$

Step 4

Raise $a$ to the power of $1$ .

$6 (a^{1} a^{1}) \cdot \frac{10}{54 a}$

Step 5

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$6 a^{1 + 1} \cdot \frac{10}{54 a}$

Step 6

Add $1$ and $1$ .

$6 a^{2} \cdot \frac{10}{54 a}$

Step 7

Cancel the common factor of $6 a$ .

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Step 7.1

Factor $6 a$ out of $6 a^{2}$ .

$6 a (a) \cdot \frac{10}{54 a}$

Step 7.2

Factor $6 a$ out of $54 a$ .

$6 a (a) \cdot \frac{10}{6 a (9)}$

Step 7.3

Cancel the common factor.

$6 a \cdot a \cdot \frac{10}{6 a \cdot 9}$

Step 7.4

Rewrite the expression.

$a \cdot \frac{10}{9}$

Step 8

Combine $a$ and $\frac{10}{9}$ .

$\frac{a \cdot 10}{9}$

Step 9

Move $10$ to the left of $a$ .

$\frac{10 a}{9}$