Solve ( - 15 - - 2 \frac { 1 } { 2 } + 2 ) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$( - 15 - - 2 \frac { 1 } { 2 } + 2 )$$

Evaluate

$-\frac{21}{2}=-10.5$

Solution Steps

Multiply $2$ and $2$ to get $4$.

$$-15-\left(-\frac{4+1}{2}\right)+2$$

Add $4$ and $1$ to get $5$.

$$-15-\left(-\frac{5}{2}\right)+2$$

The opposite of $-\frac{5}{2}$ is $\frac{5}{2}$.

$$-15+\frac{5}{2}+2$$

Convert $-15$ to fraction $-\frac{30}{2}$.

$$-\frac{30}{2}+\frac{5}{2}+2$$

Since $-\frac{30}{2}$ and $\frac{5}{2}$ have the same denominator, add them by adding their numerators.

$$\frac{-30+5}{2}+2$$

Add $-30$ and $5$ to get $-25$.

$$-\frac{25}{2}+2$$

Convert $2$ to fraction $\frac{4}{2}$.

$$-\frac{25}{2}+\frac{4}{2}$$

Since $-\frac{25}{2}$ and $\frac{4}{2}$ have the same denominator, add them by adding their numerators.

$$\frac{-25+4}{2}$$

Add $-25$ and $4$ to get $-21$.

$$-\frac{21}{2}$$

Factor

$-\frac{21}{2} = -10\frac{1}{2} = -10.5$