Solve 2287/9*3.6-1098/19.44

$$\frac{ 2287 }{ 9 \times 3.6 } - \frac{ 1098 }{ 19.44 }$$

Evaluate

$$\frac{2285}{162}\approx 14.104938272$$

Solution Steps

Multiply 9 and 3.6 to get 32.4.

$$\frac{2287}{32.4}-\frac{1098}{19.44}$$

Expand \frac{2287}{32.4} by multiplying both numerator and the denominator by 10.

$$\frac{22870}{324}-\frac{1098}{19.44}$$

Reduce the fraction \frac{22870}{324} to lowest terms by extracting and canceling out 2.

$$\frac{11435}{162}-\frac{1098}{19.44}$$

Expand \frac{1098}{19.44} by multiplying both numerator and the denominator by 100.

$$\frac{11435}{162}-\frac{109800}{1944}$$

Reduce the fraction \frac{109800}{1944} to lowest terms by extracting and canceling out 72.

$$\frac{11435}{162}-\frac{1525}{27}$$

Least common multiple of 162 and 27 is 162. Convert \frac{11435}{162} and \frac{1525}{27} to fractions with denominator 162.

$$\frac{11435}{162}-\frac{9150}{162}$$

Since \frac{11435}{162} and \frac{9150}{162} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11435-9150}{162}$$

Subtract 9150 from 11435 to get 2285.

$$\frac{2285}{162}$$

Factor

$$\frac{5 \cdot 457}{2 \cdot 3 ^ {4}} = 14\frac{17}{162} = 14.104938271604938$$