Solve (3*(-5)+7):(4)+6:(7+5)-5+10:(-2)

$$( 3 \cdot ( - 5 ) + 7 ) : ( 4 ) + 6 : ( 7 + 5 ) - 5 + 10 : ( - 2 )$$

Evaluate

$$-\frac{23}{2}=-11.5$$

Solution Steps

Multiply 3 and -5 to get -15.

$$\frac{-15+7}{4}+\frac{6}{7+5}-5+\frac{10}{-2}$$

Add -15 and 7 to get -8.

$$\frac{-8}{4}+\frac{6}{7+5}-5+\frac{10}{-2}$$

Divide -8 by 4 to get -2.

$$-2+\frac{6}{7+5}-5+\frac{10}{-2}$$

Add 7 and 5 to get 12.

$$-2+\frac{6}{12}-5+\frac{10}{-2}$$

Reduce the fraction \frac{6}{12} to lowest terms by extracting and canceling out 6.

$$-2+\frac{1}{2}-5+\frac{10}{-2}$$

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

$$-\frac{4}{2}+\frac{1}{2}-5+\frac{10}{-2}$$

Since -\frac{4}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{-4+1}{2}-5+\frac{10}{-2}$$

Add -4 and 1 to get -3.

$$-\frac{3}{2}-5+\frac{10}{-2}$$

Convert 5 to fraction \frac{10}{2}.

$$-\frac{3}{2}-\frac{10}{2}+\frac{10}{-2}$$

Since -\frac{3}{2} and \frac{10}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-3-10}{2}+\frac{10}{-2}$$

Subtract 10 from -3 to get -13.

$$-\frac{13}{2}+\frac{10}{-2}$$

Divide 10 by -2 to get -5.

$$-\frac{13}{2}-5$$

Convert 5 to fraction \frac{10}{2}.

$$-\frac{13}{2}-\frac{10}{2}$$

Since -\frac{13}{2} and \frac{10}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-13-10}{2}$$

Subtract 10 from -13 to get -23.

$$-\frac{23}{2}$$

Factor

$$-\frac{23}{2} = -11\frac{1}{2} = -11.5$$