Solve (1.29*10^3*5.5*10^4/2.72*10^6-9.8)*155

$$( \frac{ 1.29 \times { 10 }^{ 3 } \times 5.5 \times { 10 }^{ 4 } }{ 2.72 \times { 10 }^{ 6 } } -9.8) \times 155$$

Evaluate

$$\frac{686557}{272}\approx 2524.106617647$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 4 to get 7.

$$\left(\frac{1.29\times 10^{7}\times 5.5}{2.72\times 10^{6}}-9.8\right)\times 155$$

Cancel out 10^{6} in both numerator and denominator.

$$\left(\frac{1.29\times 5.5\times 10}{2.72}-9.8\right)\times 155$$

Multiply 1.29 and 5.5 to get 7.095.

$$\left(\frac{7.095\times 10}{2.72}-9.8\right)\times 155$$

Multiply 7.095 and 10 to get 70.95.

$$\left(\frac{70.95}{2.72}-9.8\right)\times 155$$

Expand \frac{70.95}{2.72} by multiplying both numerator and the denominator by 100.

$$\left(\frac{7095}{272}-9.8\right)\times 155$$

Convert decimal number 9.8 to fraction \frac{98}{10}. Reduce the fraction \frac{98}{10} to lowest terms by extracting and canceling out 2.

$$\left(\frac{7095}{272}-\frac{49}{5}\right)\times 155$$

Least common multiple of 272 and 5 is 1360. Convert \frac{7095}{272} and \frac{49}{5} to fractions with denominator 1360.

$$\left(\frac{35475}{1360}-\frac{13328}{1360}\right)\times 155$$

Since \frac{35475}{1360} and \frac{13328}{1360} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35475-13328}{1360}\times 155$$

Subtract 13328 from 35475 to get 22147.

$$\frac{22147}{1360}\times 155$$

Express \frac{22147}{1360}\times 155 as a single fraction.

$$\frac{22147\times 155}{1360}$$

Multiply 22147 and 155 to get 3432785.

$$\frac{3432785}{1360}$$

Reduce the fraction \frac{3432785}{1360} to lowest terms by extracting and canceling out 5.

$$\frac{686557}{272}$$

Factor

$$\frac{31 \cdot 22147}{17 \cdot 2 ^ {4}} = 2524\frac{29}{272} = 2524.106617647059$$