Solve 1.2*45*85.5%*27.5=

$$1.2 \times 45 \times 85.5 \% \times 27.5=$$

Evaluate

$$1269.675$$

Solution Steps

Multiply 1.2 and 45 to get 54.

$$54\times \frac{85.5}{100}\times 27.5$$

Expand \frac{85.5}{100} by multiplying both numerator and the denominator by 10.

$$54\times \frac{855}{1000}\times 27.5$$

Reduce the fraction \frac{855}{1000} to lowest terms by extracting and canceling out 5.

$$54\times \frac{171}{200}\times 27.5$$

Express 54\times \frac{171}{200} as a single fraction.

$$\frac{54\times 171}{200}\times 27.5$$

Multiply 54 and 171 to get 9234.

$$\frac{9234}{200}\times 27.5$$

Reduce the fraction \frac{9234}{200} to lowest terms by extracting and canceling out 2.

$$\frac{4617}{100}\times 27.5$$

Convert decimal number 27.5 to fraction \frac{275}{10}. Reduce the fraction \frac{275}{10} to lowest terms by extracting and canceling out 5.

$$\frac{4617}{100}\times \frac{55}{2}$$

Multiply \frac{4617}{100} times \frac{55}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4617\times 55}{100\times 2}$$

Do the multiplications in the fraction \frac{4617\times 55}{100\times 2}.

$$\frac{253935}{200}$$

Reduce the fraction \frac{253935}{200} to lowest terms by extracting and canceling out 5.

$$\frac{50787}{40}$$

Factor

$$\frac{11 \cdot 19 \cdot 3 ^ {5}}{5 \cdot 2 ^ {3}} = 1269\frac{27}{40} = 1269.675$$