Solve 0.092*0.5-0.02*0.5*8/0.02*3*884

$$\frac { 0.092 \times 0.5 - 0.02 \times 0.5 \times 8 } { 0.02 \times 3 } \times 884$$

Evaluate

$$-\frac{7514}{15}\approx -500.933333333$$

Solution Steps

Multiply 0.092 and 0.5 to get 0.046.

$$\frac{0.046-0.02\times 0.5\times 8}{0.02\times 3}\times 884$$

Multiply 0.02 and 0.5 to get 0.01.

$$\frac{0.046-0.01\times 8}{0.02\times 3}\times 884$$

Multiply 0.01 and 8 to get 0.08.

$$\frac{0.046-0.08}{0.02\times 3}\times 884$$

Subtract 0.08 from 0.046 to get -0.034.

$$\frac{-0.034}{0.02\times 3}\times 884$$

Multiply 0.02 and 3 to get 0.06.

$$\frac{-0.034}{0.06}\times 884$$

Expand \frac{-0.034}{0.06} by multiplying both numerator and the denominator by 1000.

$$\frac{-34}{60}\times 884$$

Reduce the fraction \frac{-34}{60} to lowest terms by extracting and canceling out 2.

$$-\frac{17}{30}\times 884$$

Express -\frac{17}{30}\times 884 as a single fraction.

$$\frac{-17\times 884}{30}$$

Multiply -17 and 884 to get -15028.

$$\frac{-15028}{30}$$

Reduce the fraction \frac{-15028}{30} to lowest terms by extracting and canceling out 2.

$$-\frac{7514}{15}$$

Factor

$$-\frac{7514}{15} = -500\frac{14}{15} = -500.93333333333334$$