Solve =12067/10-(32)(38)/(3.74)(6.31)=-0.39=-0.4

$$= \frac { \frac { 12067 } { 10 } - ( 32 ) ( 38 ) } { ( 3.74 ) ( 6.31 ) } = - 0.39 = - 0.4$$

Verify

Solution Steps

Multiply 32 and 38 to get 1216.

$$\frac{\frac{12067}{10}-1216}{3.74\times 6.31}=-0.39\text{ and }-0.39=-0.4$$

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

$$\frac{\frac{12067}{10}-\frac{12160}{10}}{3.74\times 6.31}=-0.39\text{ and }-0.39=-0.4$$

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

$$\frac{\frac{12067-12160}{10}}{3.74\times 6.31}=-0.39\text{ and }-0.39=-0.4$$

Subtract 12160 from 12067 to get -93.

$$\frac{-\frac{93}{10}}{3.74\times 6.31}=-0.39\text{ and }-0.39=-0.4$$

Multiply 3.74 and 6.31 to get 23.5994.

$$\frac{-\frac{93}{10}}{23.5994}=-0.39\text{ and }-0.39=-0.4$$

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

$$\frac{-93}{10\times 23.5994}=-0.39\text{ and }-0.39=-0.4$$

Multiply 10 and 23.5994 to get 235.994.

$$\frac{-93}{235.994}=-0.39\text{ and }-0.39=-0.4$$

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

$$\frac{-93000}{235994}=-0.39\text{ and }-0.39=-0.4$$

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

$$-\frac{46500}{117997}=-0.39\text{ and }-0.39=-0.4$$

Convert decimal number -0.39 to fraction -\frac{39}{100}.

$$-\frac{46500}{117997}=-\frac{39}{100}\text{ and }-0.39=-0.4$$

Least common multiple of 117997 and 100 is 11799700. Convert -\frac{46500}{117997} and -\frac{39}{100} to fractions with denominator 11799700.

$$-\frac{4650000}{11799700}=-\frac{4601883}{11799700}\text{ and }-0.39=-0.4$$

Compare -\frac{4650000}{11799700} and -\frac{4601883}{11799700}.

$$\text{false}\text{ and }-0.39=-0.4$$

Compare -0.39 and -0.4.

$$\text{false}\text{ and }\text{false}$$

The conjunction of \text{false} and \text{false} is \text{false}.

$$\text{false}$$