Solve -41/4*45/6-425%*61/6+4.25

$$-4 \frac{ 1 }{ 4 } \times 4 \frac{ 5 }{ 6 } -425 \% \times 6 \frac{ 1 }{ 6 } +4.25$$

Evaluate

$$-42.5$$

Solution Steps

Multiply 4 and 4 to get 16.

$$\left(-\frac{16+1}{4}\right)\times \frac{4\times 6+5}{6}-\frac{425}{100}\times \frac{6\times 6+1}{6}+4.25$$

Add 16 and 1 to get 17.

$$-\frac{17}{4}\times \frac{4\times 6+5}{6}-\frac{425}{100}\times \frac{6\times 6+1}{6}+4.25$$

Multiply 4 and 6 to get 24.

$$-\frac{17}{4}\times \frac{24+5}{6}-\frac{425}{100}\times \frac{6\times 6+1}{6}+4.25$$

Add 24 and 5 to get 29.

$$-\frac{17}{4}\times \frac{29}{6}-\frac{425}{100}\times \frac{6\times 6+1}{6}+4.25$$

Multiply -\frac{17}{4} times \frac{29}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-17\times 29}{4\times 6}-\frac{425}{100}\times \frac{6\times 6+1}{6}+4.25$$

Do the multiplications in the fraction \frac{-17\times 29}{4\times 6}.

$$\frac{-493}{24}-\frac{425}{100}\times \frac{6\times 6+1}{6}+4.25$$

Fraction \frac{-493}{24} can be rewritten as -\frac{493}{24} by extracting the negative sign.

$$-\frac{493}{24}-\frac{425}{100}\times \frac{6\times 6+1}{6}+4.25$$

Reduce the fraction \frac{425}{100} to lowest terms by extracting and canceling out 25.

$$-\frac{493}{24}-\frac{17}{4}\times \frac{6\times 6+1}{6}+4.25$$

Multiply 6 and 6 to get 36.

$$-\frac{493}{24}-\frac{17}{4}\times \frac{36+1}{6}+4.25$$

Add 36 and 1 to get 37.

$$-\frac{493}{24}-\frac{17}{4}\times \frac{37}{6}+4.25$$

Multiply \frac{17}{4} times \frac{37}{6} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{493}{24}-\frac{17\times 37}{4\times 6}+4.25$$

Do the multiplications in the fraction \frac{17\times 37}{4\times 6}.

$$-\frac{493}{24}-\frac{629}{24}+4.25$$

Since -\frac{493}{24} and \frac{629}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-493-629}{24}+4.25$$

Subtract 629 from -493 to get -1122.

$$\frac{-1122}{24}+4.25$$

Reduce the fraction \frac{-1122}{24} to lowest terms by extracting and canceling out 6.

$$-\frac{187}{4}+4.25$$

Convert decimal number 4.25 to fraction \frac{425}{100}. Reduce the fraction \frac{425}{100} to lowest terms by extracting and canceling out 25.

$$-\frac{187}{4}+\frac{17}{4}$$

Since -\frac{187}{4} and \frac{17}{4} have the same denominator, add them by adding their numerators.

$$\frac{-187+17}{4}$$

Add -187 and 17 to get -170.

$$\frac{-170}{4}$$

Reduce the fraction \frac{-170}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{85}{2}$$

Factor

$$-42.5$$