Solve for a 1.7a+0.3a=4/5

$1.7 a + 0.3 a = \frac{4}{5}$

Add $1.7 a$ and $0.3 a$ .

$2 a = \frac{4}{5}$

Divide each term in $2 a = \frac{4}{5}$ by $2$ and simplify.

Divide each term in $2 a = \frac{4}{5}$ by $2$ .

$\frac{2 a}{2} = \frac{\frac{4}{5}}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 a}{2} = \frac{\frac{4}{5}}{2}$

Divide $a$ by $1$ .

$a = \frac{\frac{4}{5}}{2}$

Simplify the right side.

Multiply the numerator by the reciprocal of the denominator.

$a = \frac{4}{5} \cdot \frac{1}{2}$

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$a = \frac{2 (2)}{5} \cdot \frac{1}{2}$

Cancel the common factor.

$a = \frac{2 \cdot 2}{5} \cdot \frac{1}{2}$

Rewrite the expression.

$a = \frac{2}{5}$

The result can be shown in multiple forms.

Exact Form:

$a = \frac{2}{5}$

Decimal Form:

$a = 0.4$