Solve =12067/10-(32)(38)/(3.74)(6.31)

$$= \frac { \frac { 12067 } { 10 } - ( 32 ) ( 38 ) } { ( 3.74 ) ( 6.31 ) }$$

Evaluate

$$-\frac{46500}{117997}\approx -0.394077816$$

Solution Steps

Multiply 32 and 38 to get 1216.

$$\frac{\frac{12067}{10}-1216}{3.74\times 6.31}$$

Convert 1216 to fraction \frac{12160}{10}.

$$\frac{\frac{12067}{10}-\frac{12160}{10}}{3.74\times 6.31}$$

Since \frac{12067}{10} and \frac{12160}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{12067-12160}{10}}{3.74\times 6.31}$$

Subtract 12160 from 12067 to get -93.

$$\frac{-\frac{93}{10}}{3.74\times 6.31}$$

Multiply 3.74 and 6.31 to get 23.5994.

$$\frac{-\frac{93}{10}}{23.5994}$$

Express \frac{-\frac{93}{10}}{23.5994} as a single fraction.

$$\frac{-93}{10\times 23.5994}$$

Multiply 10 and 23.5994 to get 235.994.

$$\frac{-93}{235.994}$$

Expand \frac{-93}{235.994} by multiplying both numerator and the denominator by 1000.

$$\frac{-93000}{235994}$$

Reduce the fraction \frac{-93000}{235994} to lowest terms by extracting and canceling out 2.

$$-\frac{46500}{117997}$$

Factor

$$-\frac{46500}{117997} = -0.3940778155376832$$