Basic Math Examples

$\frac{a}{3} \div \frac{a \cdot 5}{7} \div 6^{7}$

Step 1

Rewrite the division as a fraction.

$\frac{\frac{a}{3} \div \frac{a \cdot 5}{7}}{6^{7}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{a}{3} \div \frac{a \cdot 5}{7} \cdot \frac{1}{6^{7}}$

Step 3

Combine fractions.

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Step 3.1

Combine.

$\frac{\frac{a}{3} \cdot 1}{\frac{a \cdot 5}{7} \cdot 6^{7}}$

Step 3.2

Multiply $\frac{a}{3}$ by $1$ .

$\frac{\frac{a}{3}}{\frac{a \cdot 5}{7} \cdot 6^{7}}$

Step 3.3

Combine $\frac{a \cdot 5}{7}$ and $6^{7}$ .

$\frac{\frac{a}{3}}{\frac{a \cdot 5 \cdot 6^{7}}{7}}$

Step 4

Simplify the numerator.

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Step 4.1

Raise $6$ to the power of $7$ .

$\frac{\frac{a}{3}}{\frac{a \cdot 5 \cdot 279936}{7}}$

Step 4.2

Multiply $279936$ by $5$ .

$\frac{\frac{a}{3}}{\frac{a \cdot 1399680}{7}}$

Step 5

Move $1399680$ to the left of $a$ .

$\frac{\frac{a}{3}}{\frac{1399680 a}{7}}$

Step 6

Multiply the numerator by the reciprocal of the denominator.

$\frac{a}{3} \cdot \frac{7}{1399680 a}$

Step 7

Cancel the common factor of $a$ .

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Step 7.1

Factor $a$ out of $1399680 a$ .

$\frac{a}{3} \cdot \frac{7}{a \cdot 1399680}$

Step 7.2

Cancel the common factor.

$\frac{a}{3} \cdot \frac{7}{a \cdot 1399680}$

Step 7.3

Rewrite the expression.

$\frac{1}{3} \cdot \frac{7}{1399680}$

Step 8

Multiply $\frac{1}{3}$ by $\frac{7}{1399680}$ .

$\frac{7}{3 \cdot 1399680}$

Step 9

Multiply $3$ by $1399680$ .

$\frac{7}{4199040}$

Step 10

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{4199040}$

Decimal Form:

$1.6670477 \cdot 10^{- 6}$