Solve 25:(-3)+5^2(-1)+sqrt{36}:(2)=

$$25 : ( - 3 ) + 5 ^ { 2 } ( - 1 ) + \sqrt { 36 } : ( 2 ) =$$

Evaluate

$$-\frac{91}{3}\approx -30.333333333$$

Solution Steps

Fraction \frac{25}{-3} can be rewritten as -\frac{25}{3} by extracting the negative sign.

$$-\frac{25}{3}+5^{2}\left(-1\right)+\frac{\sqrt{36}}{2}$$

Calculate 5 to the power of 2 and get 25.

$$-\frac{25}{3}+25\left(-1\right)+\frac{\sqrt{36}}{2}$$

Multiply 25 and -1 to get -25.

$$-\frac{25}{3}-25+\frac{\sqrt{36}}{2}$$

Convert 25 to fraction \frac{75}{3}.

$$-\frac{25}{3}-\frac{75}{3}+\frac{\sqrt{36}}{2}$$

Since -\frac{25}{3} and \frac{75}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-25-75}{3}+\frac{\sqrt{36}}{2}$$

Subtract 75 from -25 to get -100.

$$-\frac{100}{3}+\frac{\sqrt{36}}{2}$$

Calculate the square root of 36 and get 6.

$$-\frac{100}{3}+\frac{6}{2}$$

Divide 6 by 2 to get 3.

$$-\frac{100}{3}+3$$

Convert 3 to fraction \frac{9}{3}.

$$-\frac{100}{3}+\frac{9}{3}$$

Since -\frac{100}{3} and \frac{9}{3} have the same denominator, add them by adding their numerators.

$$\frac{-100+9}{3}$$

Add -100 and 9 to get -91.

$$-\frac{91}{3}$$

Factor

$$-\frac{91}{3} = -30\frac{1}{3} = -30.333333333333332$$