Solve 1/3*(3)^-1+0.25/frac{1{3}*(33/50-1)}=

$$\frac { \frac { 1 } { 3 } \cdot ( 3 ) ^ { - 1 } + 0.25 } { \frac { 1 } { 3 } \cdot ( \frac { 33 } { 50 } - 1 ) } =$$

Evaluate

$$-\frac{325}{102}\approx -3.18627451$$

Solution Steps

Calculate 3 to the power of -1 and get \frac{1}{3}.

$$\frac{\frac{1}{3}\times \frac{1}{3}+0.25}{\frac{1}{3}\left(\frac{33}{50}-1\right)}$$

Multiply \frac{1}{3} and \frac{1}{3} to get \frac{1}{9}.

$$\frac{\frac{1}{9}+0.25}{\frac{1}{3}\left(\frac{33}{50}-1\right)}$$

Add \frac{1}{9} and 0.25 to get \frac{13}{36}.

$$\frac{\frac{13}{36}}{\frac{1}{3}\left(\frac{33}{50}-1\right)}$$

Subtract 1 from \frac{33}{50} to get -\frac{17}{50}.

$$\frac{\frac{13}{36}}{\frac{1}{3}\left(-\frac{17}{50}\right)}$$

Multiply \frac{1}{3} and -\frac{17}{50} to get -\frac{17}{150}.

$$\frac{\frac{13}{36}}{-\frac{17}{150}}$$

Divide \frac{13}{36} by -\frac{17}{150} by multiplying \frac{13}{36} by the reciprocal of -\frac{17}{150}.

$$\frac{13}{36}\left(-\frac{150}{17}\right)$$

Multiply \frac{13}{36} and -\frac{150}{17} to get -\frac{325}{102}.

$$-\frac{325}{102}$$

Factor

$$-\frac{325}{102} = -3\frac{19}{102} = -3.1862745098039214$$