Basic Math Examples

$\frac{6 a - 5}{\frac{2 a}{\frac{a - 1}{4 a}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$(6 a - 5) \frac{\frac{a - 1}{4 a}}{2 a}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$(6 a - 5) (\frac{a - 1}{4 a} \cdot \frac{1}{2 a})$

Step 3

Multiply $\frac{a - 1}{4 a} \cdot \frac{1}{2 a}$ .

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Step 3.1

Multiply $\frac{a - 1}{4 a}$ by $\frac{1}{2 a}$ .

$(6 a - 5) \frac{a - 1}{4 a (2 a)}$

Step 3.2

Multiply $2$ by $4$ .

$(6 a - 5) \frac{a - 1}{8 a \cdot a}$

Step 3.3

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

$(6 a - 5) \frac{a - 1}{8 (a^{1} a)}$

Step 3.4

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

$(6 a - 5) \frac{a - 1}{8 (a^{1} a^{1})}$

Step 3.5

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

$(6 a - 5) \frac{a - 1}{8 a^{1 + 1}}$

Step 3.6

Add $1$ and $1$ .

$(6 a - 5) \frac{a - 1}{8 a^{2}}$

Step 4

Multiply $6 a - 5$ by $\frac{a - 1}{8 a^{2}}$ .

$\frac{(6 a - 5) (a - 1)}{8 a^{2}}$