Solve 272.4*120+955.4*60-800.3*105/2-2227.8*48

$$272.4 \cdot 120+955.4 \cdot 60- \frac{ 800.3 \cdot 105 }{ 2 } -2227.8 \times 48$$

Evaluate

$$-58938.15$$

Solution Steps

Multiply 272.4 and 120 to get 32688.

$$32688+955.4\times 60-\frac{800.3\times 105}{2}-2227.8\times 48$$

Multiply 955.4 and 60 to get 57324.

$$32688+57324-\frac{800.3\times 105}{2}-2227.8\times 48$$

Add 32688 and 57324 to get 90012.

$$90012-\frac{800.3\times 105}{2}-2227.8\times 48$$

Multiply 800.3 and 105 to get 84031.5.

$$90012-\frac{84031.5}{2}-2227.8\times 48$$

Expand \frac{84031.5}{2} by multiplying both numerator and the denominator by 10.

$$90012-\frac{840315}{20}-2227.8\times 48$$

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

$$90012-\frac{168063}{4}-2227.8\times 48$$

Convert 90012 to fraction \frac{360048}{4}.

$$\frac{360048}{4}-\frac{168063}{4}-2227.8\times 48$$

Since \frac{360048}{4} and \frac{168063}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{360048-168063}{4}-2227.8\times 48$$

Subtract 168063 from 360048 to get 191985.

$$\frac{191985}{4}-2227.8\times 48$$

Multiply 2227.8 and 48 to get 106934.4.

$$\frac{191985}{4}-106934.4$$

Convert decimal number 106934.4 to fraction \frac{1069344}{10}. Reduce the fraction \frac{1069344}{10} to lowest terms by extracting and canceling out 2.

$$\frac{191985}{4}-\frac{534672}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{191985}{4} and \frac{534672}{5} to fractions with denominator 20.

$$\frac{959925}{20}-\frac{2138688}{20}$$

Since \frac{959925}{20} and \frac{2138688}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{959925-2138688}{20}$$

Subtract 2138688 from 959925 to get -1178763.

$$-\frac{1178763}{20}$$

Factor

$$-58938.15$$