Solve (-542*10^3/2303*0.8821)*42

$$( - \frac { 542 \times 10 ^ { 3 } } { 2303 \times 0.8821 } ) \times 42$$

Evaluate

$$-\frac{32520000000}{2902109}\approx -11205.643895526$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\left(-\frac{542\times 1000}{2303\times 0.8821}\right)\times 42$$

Multiply 542 and 1000 to get 542000.

$$\left(-\frac{542000}{2303\times 0.8821}\right)\times 42$$

Multiply 2303 and 0.8821 to get 2031.4763.

$$\left(-\frac{542000}{2031.4763}\right)\times 42$$

Expand \frac{542000}{2031.4763} by multiplying both numerator and the denominator by 10000.

$$-\frac{5420000000}{20314763}\times 42$$

Express -\frac{5420000000}{20314763}\times 42 as a single fraction.

$$\frac{-5420000000\times 42}{20314763}$$

Multiply -5420000000 and 42 to get -227640000000.

$$\frac{-227640000000}{20314763}$$

Reduce the fraction \frac{-227640000000}{20314763} to lowest terms by extracting and canceling out 7.

$$-\frac{32520000000}{2902109}$$

Factor

$$-\frac{32520000000}{2902109} = -11205\frac{1868655}{2902109} = -11205.643895525633$$