Solve for g 3/16=(-5/4)+g

$\frac{3}{16} = (- \frac{5}{4}) + g$

Step 1

Rewrite the equation as $- \frac{5}{4} + g = \frac{3}{16}$ .

$- \frac{5}{4} + g = \frac{3}{16}$

Step 2

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

Add $\frac{5}{4}$ to both sides of the equation.

$g = \frac{3}{16} + \frac{5}{4}$

To write $\frac{5}{4}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$g = \frac{3}{16} + \frac{5}{4} \cdot \frac{4}{4}$

Write each expression with a common denominator of $16$ , by multiplying each by an appropriate factor of $1$ .

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

$g = \frac{3}{16} + \frac{5 \cdot 4}{4 \cdot 4}$

Multiply $4$ by $4$ .

$g = \frac{3}{16} + \frac{5 \cdot 4}{16}$

Combine the numerators over the common denominator.

$g = \frac{3 + 5 \cdot 4}{16}$

Simplify the numerator.

Multiply $5$ by $4$ .

$g = \frac{3 + 20}{16}$

Add $3$ and $20$ .

$g = \frac{23}{16}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$g = \frac{23}{16}$

Decimal Form:

$g = 1.4375$

Mixed Number Form:

$g = 1 \frac{7}{16}$