Solve (6x-15y-36)*1/2

$$( 6 x - 15 y - 36 ) \times \frac { 1 } { 2 }$$

Evaluate

$$-\frac{15y}{2}+3x-18$$

Solution Steps

Use the distributive property to multiply 6x-15y-36 by \frac{1}{2}.

$$6x\times \frac{1}{2}-15y\times \frac{1}{2}-36\times \frac{1}{2}$$

Multiply 6 and \frac{1}{2} to get \frac{6}{2}.

$$\frac{6}{2}x-15y\times \frac{1}{2}-36\times \frac{1}{2}$$

Divide 6 by 2 to get 3.

$$3x-15y\times \frac{1}{2}-36\times \frac{1}{2}$$

Multiply -15 and \frac{1}{2} to get \frac{-15}{2}.

$$3x+\frac{-15}{2}y-36\times \frac{1}{2}$$

Fraction \frac{-15}{2} can be rewritten as -\frac{15}{2} by extracting the negative sign.

$$3x-\frac{15}{2}y-36\times \frac{1}{2}$$

Multiply -36 and \frac{1}{2} to get \frac{-36}{2}.

$$3x-\frac{15}{2}y+\frac{-36}{2}$$

Divide -36 by 2 to get -18.

$$3x-\frac{15}{2}y-18$$

Expand

$$-\frac{15y}{2}+3x-18$$

Solution Steps

Use the distributive property to multiply 6x-15y-36 by \frac{1}{2}.

$$6x\times \frac{1}{2}-15y\times \frac{1}{2}-36\times \frac{1}{2}$$

Multiply 6 and \frac{1}{2} to get \frac{6}{2}.

$$\frac{6}{2}x-15y\times \frac{1}{2}-36\times \frac{1}{2}$$

Divide 6 by 2 to get 3.

$$3x-15y\times \frac{1}{2}-36\times \frac{1}{2}$$

Multiply -15 and \frac{1}{2} to get \frac{-15}{2}.

$$3x+\frac{-15}{2}y-36\times \frac{1}{2}$$

Fraction \frac{-15}{2} can be rewritten as -\frac{15}{2} by extracting the negative sign.

$$3x-\frac{15}{2}y-36\times \frac{1}{2}$$

Multiply -36 and \frac{1}{2} to get \frac{-36}{2}.

$$3x-\frac{15}{2}y+\frac{-36}{2}$$

Divide -36 by 2 to get -18.

$$3x-\frac{15}{2}y-18$$