Solve 45/12*7%-2

$$\frac{ 45 }{ 12 \times 7 \% -2 }$$

Evaluate

$$-\frac{1125}{29}\approx -38.793103448$$

Solution Steps

Express 12\times \frac{7}{100} as a single fraction.

$$\frac{45}{\frac{12\times 7}{100}-2}$$

Multiply 12 and 7 to get 84.

$$\frac{45}{\frac{84}{100}-2}$$

Reduce the fraction \frac{84}{100} to lowest terms by extracting and canceling out 4.

$$\frac{45}{\frac{21}{25}-2}$$

Convert 2 to fraction \frac{50}{25}.

$$\frac{45}{\frac{21}{25}-\frac{50}{25}}$$

Since \frac{21}{25} and \frac{50}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45}{\frac{21-50}{25}}$$

Subtract 50 from 21 to get -29.

$$\frac{45}{-\frac{29}{25}}$$

Divide 45 by -\frac{29}{25} by multiplying 45 by the reciprocal of -\frac{29}{25}.

$$45\left(-\frac{25}{29}\right)$$

Express 45\left(-\frac{25}{29}\right) as a single fraction.

$$\frac{45\left(-25\right)}{29}$$

Multiply 45 and -25 to get -1125.

$$\frac{-1125}{29}$$

Fraction \frac{-1125}{29} can be rewritten as -\frac{1125}{29} by extracting the negative sign.

$$-\frac{1125}{29}$$

Factor

$$-\frac{1125}{29} = -38\frac{23}{29} = -38.793103448275865$$