Solve 1-a/b0/frac{1{2a}}

$$\frac { 1 - \frac { a } { b 0 } } { \frac { 1 } { 2 a } }$$

Evaluate

$$\frac{2a\left(b_{0}-a\right)}{b_{0}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{b_{0}}{b_{0}}.

$$\frac{\frac{b_{0}}{b_{0}}-\frac{a}{b_{0}}}{\frac{1}{2a}}$$

Since \frac{b_{0}}{b_{0}} and \frac{a}{b_{0}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{b_{0}-a}{b_{0}}}{\frac{1}{2a}}$$

Divide \frac{b_{0}-a}{b_{0}} by \frac{1}{2a} by multiplying \frac{b_{0}-a}{b_{0}} by the reciprocal of \frac{1}{2a}.

$$\frac{\left(b_{0}-a\right)\times 2a}{b_{0}}$$

Use the distributive property to multiply b_{0}-a by 2.

$$\frac{\left(2b_{0}-2a\right)a}{b_{0}}$$

Use the distributive property to multiply 2b_{0}-2a by a.

$$\frac{2b_{0}a-2a^{2}}{b_{0}}$$

Expand

$$-\frac{2a^{2}}{b_{0}}+2a$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{b_{0}}{b_{0}}.

$$\frac{\frac{b_{0}}{b_{0}}-\frac{a}{b_{0}}}{\frac{1}{2a}}$$

Since \frac{b_{0}}{b_{0}} and \frac{a}{b_{0}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{b_{0}-a}{b_{0}}}{\frac{1}{2a}}$$

Divide \frac{b_{0}-a}{b_{0}} by \frac{1}{2a} by multiplying \frac{b_{0}-a}{b_{0}} by the reciprocal of \frac{1}{2a}.

$$\frac{\left(b_{0}-a\right)\times 2a}{b_{0}}$$

Use the distributive property to multiply b_{0}-a by 2.

$$\frac{\left(2b_{0}-2a\right)a}{b_{0}}$$

Use the distributive property to multiply 2b_{0}-2a by a.

$$\frac{2b_{0}a-2a^{2}}{b_{0}}$$