Solve for n -9/10=n-3/5

$- \frac{9}{10} = n - \frac{3}{5}$

Step 1

Rewrite the equation as $n - \frac{3}{5} = - \frac{9}{10}$ .

$n - \frac{3}{5} = - \frac{9}{10}$

Step 2

Move all terms not containing $n$ to the right side of the equation.

Add $\frac{3}{5}$ to both sides of the equation.

$n = - \frac{9}{10} + \frac{3}{5}$

To write $\frac{3}{5}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$n = - \frac{9}{10} + \frac{3}{5} \cdot \frac{2}{2}$

Write each expression with a common denominator of $10$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{3}{5}$ by $\frac{2}{2}$ .

$n = - \frac{9}{10} + \frac{3 \cdot 2}{5 \cdot 2}$

Multiply $5$ by $2$ .

$n = - \frac{9}{10} + \frac{3 \cdot 2}{10}$

Combine the numerators over the common denominator.

$n = \frac{- 9 + 3 \cdot 2}{10}$

Simplify the numerator.

Multiply $3$ by $2$ .

$n = \frac{- 9 + 6}{10}$

Add $- 9$ and $6$ .

$n = \frac{- 3}{10}$

Move the negative in front of the fraction.

$n = - \frac{3}{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$n = - \frac{3}{10}$

Decimal Form:

$n = - 0.3$