Solve (272.4+955.4)*60-800.3*105/2

$$(272.4+955.4) \times 60-800.3 \times \frac{ 105 }{ 2 }$$

Evaluate

$$31652.25$$

Solution Steps

Add 272.4 and 955.4 to get 1227.8.

$$1227.8\times 60-800.3\times \frac{105}{2}$$

Multiply 1227.8 and 60 to get 73668.

$$73668-800.3\times \frac{105}{2}$$

Convert decimal number 800.3 to fraction \frac{8003}{10}.

$$73668-\frac{8003}{10}\times \frac{105}{2}$$

Multiply \frac{8003}{10} times \frac{105}{2} by multiplying numerator times numerator and denominator times denominator.

$$73668-\frac{8003\times 105}{10\times 2}$$

Do the multiplications in the fraction \frac{8003\times 105}{10\times 2}.

$$73668-\frac{840315}{20}$$

Reduce the fraction \frac{840315}{20} to lowest terms by extracting and canceling out 5.

$$73668-\frac{168063}{4}$$

Convert 73668 to fraction \frac{294672}{4}.

$$\frac{294672}{4}-\frac{168063}{4}$$

Since \frac{294672}{4} and \frac{168063}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{294672-168063}{4}$$

Subtract 168063 from 294672 to get 126609.

$$\frac{126609}{4}$$

Factor

$$\frac{3 \cdot 7 \cdot 6029}{2 ^ {2}} = 31652\frac{1}{4} = 31652.25$$