Basic Math Examples

$\frac{\frac{3}{5} - \frac{5}{3}}{\frac{1}{n}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$(\frac{3}{5} - \frac{5}{3}) n$

Step 2

To write $\frac{3}{5}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$(\frac{3}{5} \cdot \frac{3}{3} - \frac{5}{3}) n$

Step 3

To write $- \frac{5}{3}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$(\frac{3}{5} \cdot \frac{3}{3} - \frac{5}{3} \cdot \frac{5}{5}) n$

Step 4

Write each expression with a common denominator of $15$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 4.1

Multiply $\frac{3}{5}$ by $\frac{3}{3}$ .

$(\frac{3 \cdot 3}{5 \cdot 3} - \frac{5}{3} \cdot \frac{5}{5}) n$

Step 4.2

Multiply $5$ by $3$ .

$(\frac{3 \cdot 3}{15} - \frac{5}{3} \cdot \frac{5}{5}) n$

Step 4.3

Multiply $\frac{5}{3}$ by $\frac{5}{5}$ .

$(\frac{3 \cdot 3}{15} - \frac{5 \cdot 5}{3 \cdot 5}) n$

Step 4.4

Multiply $3$ by $5$ .

$(\frac{3 \cdot 3}{15} - \frac{5 \cdot 5}{15}) n$

Step 5

Combine the numerators over the common denominator.

$\frac{3 \cdot 3 - 5 \cdot 5}{15} n$

Step 6

Simplify the numerator.

Tap for more steps...

Step 6.1

Multiply $3$ by $3$ .

$\frac{9 - 5 \cdot 5}{15} n$

Step 6.2

Multiply $- 5$ by $5$ .

$\frac{9 - 25}{15} n$

Step 6.3

Subtract $25$ from $9$ .

$\frac{- 16}{15} n$

Step 7

Move the negative in front of the fraction.

$- \frac{16}{15} n$

Step 8

Combine $n$ and $\frac{16}{15}$ .

$- \frac{n \cdot 16}{15}$

Step 9

Move $16$ to the left of $n$ .

$- \frac{16 n}{15}$