Solve 0.29/19(4.22-28.07:3.5)

$$0.2 \frac { 9 } { 19 } ( 4.22 - 28.07 : 3.5 )$$

Evaluate

$$-2.56$$

Solution Steps

Multiply 0.2 and 19 to get 3.8.

$$\frac{3.8+9}{19}\left(4.22-\frac{28.07}{3.5}\right)$$

Add 3.8 and 9 to get 12.8.

$$\frac{12.8}{19}\left(4.22-\frac{28.07}{3.5}\right)$$

Expand \frac{12.8}{19} by multiplying both numerator and the denominator by 10.

$$\frac{128}{190}\left(4.22-\frac{28.07}{3.5}\right)$$

Reduce the fraction \frac{128}{190} to lowest terms by extracting and canceling out 2.

$$\frac{64}{95}\left(4.22-\frac{28.07}{3.5}\right)$$

Expand \frac{28.07}{3.5} by multiplying both numerator and the denominator by 100.

$$\frac{64}{95}\left(4.22-\frac{2807}{350}\right)$$

Reduce the fraction \frac{2807}{350} to lowest terms by extracting and canceling out 7.

$$\frac{64}{95}\left(4.22-\frac{401}{50}\right)$$

Convert decimal number 4.22 to fraction \frac{422}{100}. Reduce the fraction \frac{422}{100} to lowest terms by extracting and canceling out 2.

$$\frac{64}{95}\left(\frac{211}{50}-\frac{401}{50}\right)$$

Since \frac{211}{50} and \frac{401}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{64}{95}\times \frac{211-401}{50}$$

Subtract 401 from 211 to get -190.

$$\frac{64}{95}\times \frac{-190}{50}$$

Reduce the fraction \frac{-190}{50} to lowest terms by extracting and canceling out 10.

$$\frac{64}{95}\left(-\frac{19}{5}\right)$$

Multiply \frac{64}{95} times -\frac{19}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{64\left(-19\right)}{95\times 5}$$

Do the multiplications in the fraction \frac{64\left(-19\right)}{95\times 5}.

$$\frac{-1216}{475}$$

Reduce the fraction \frac{-1216}{475} to lowest terms by extracting and canceling out 19.

$$-\frac{64}{25}$$

Factor

$$-2.56$$