Solve 1200*-27,7/7,2*10^3

$$1200 \cdot \frac { - 27,7 } { 7,2 \cdot 10 ^ { 3 } }$$

Evaluate

$$-\frac{277}{60}\approx -4,616666667$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$1200\times \frac{-27,7}{7,2\times 1000}$$

Multiply 7,2 and 1000 to get 7200.

$$1200\times \frac{-27,7}{7200}$$

Expand \frac{-27,7}{7200} by multiplying both numerator and the denominator by 10.

$$1200\times \frac{-277}{72000}$$

Fraction \frac{-277}{72000} can be rewritten as -\frac{277}{72000} by extracting the negative sign.

$$1200\left(-\frac{277}{72000}\right)$$

Express 1200\left(-\frac{277}{72000}\right) as a single fraction.

$$\frac{1200\left(-277\right)}{72000}$$

Multiply 1200 and -277 to get -332400.

$$\frac{-332400}{72000}$$

Reduce the fraction \frac{-332400}{72000} to lowest terms by extracting and canceling out 1200.

$$-\frac{277}{60}$$

Factor

$$-\frac{277}{60} = -4\frac{37}{60} = -4.616666666666666$$