Pre-Algebra Examples

$\frac{\frac{7}{10 f}}{\frac{5 f}{8}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{7}{10 f} \cdot \frac{8}{5 f}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $10 f$ .

$\frac{7}{2 (5 f)} \cdot \frac{8}{5 f}$

Step 2.2

Factor $2$ out of $8$ .

$\frac{7}{2 (5 f)} \cdot \frac{2 (4)}{5 f}$

Step 2.3

Cancel the common factor.

$\frac{7}{2 (5 f)} \cdot \frac{2 \cdot 4}{5 f}$

Step 2.4

Rewrite the expression.

$\frac{7}{5 f} \cdot \frac{4}{5 f}$

Step 3

Multiply $\frac{7}{5 f}$ by $\frac{4}{5 f}$ .

$\frac{7 \cdot 4}{5 f (5 f)}$

Step 4

Multiply $7$ by $4$ .

$\frac{28}{5 f (5 f)}$

Step 5

Multiply $5$ by $5$ .

$\frac{28}{25 f \cdot f}$

Step 6

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

$\frac{28}{25 (f^{1} f)}$

Step 7

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

$\frac{28}{25 (f^{1} f^{1})}$

Step 8

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

$\frac{28}{25 f^{1 + 1}}$

Step 9

Add $1$ and $1$ .

$\frac{28}{25 f^{2}}$