Solve 1.097*10^7*(1/4-1/9)

$$1.097 \times { 10 }^{ 7 } \times ( \frac{ 1 }{ 4 } - \frac{ 1 }{ 9 } )$$

Evaluate

$$\frac{13712500}{9}\approx 1523611.111111111$$

Solution Steps

Calculate 10 to the power of 7 and get 10000000.

$$1.097\times 10000000\left(\frac{1}{4}-\frac{1}{9}\right)$$

Multiply 1.097 and 10000000 to get 10970000.

$$10970000\left(\frac{1}{4}-\frac{1}{9}\right)$$

Least common multiple of 4 and 9 is 36. Convert \frac{1}{4} and \frac{1}{9} to fractions with denominator 36.

$$10970000\left(\frac{9}{36}-\frac{4}{36}\right)$$

Since \frac{9}{36} and \frac{4}{36} have the same denominator, subtract them by subtracting their numerators.

$$10970000\times \frac{9-4}{36}$$

Subtract 4 from 9 to get 5.

$$10970000\times \frac{5}{36}$$

Express 10970000\times \frac{5}{36} as a single fraction.

$$\frac{10970000\times 5}{36}$$

Multiply 10970000 and 5 to get 54850000.

$$\frac{54850000}{36}$$

Reduce the fraction \frac{54850000}{36} to lowest terms by extracting and canceling out 4.

$$\frac{13712500}{9}$$

Factor

$$\frac{1097 \cdot 2 ^ {2} \cdot 5 ^ {5}}{3 ^ {2}} = 1523611\frac{1}{9} = 1523611.111111111$$