Solve 125*9800/48*11*10^9*frac{1{15}}*1000

$$\frac{ 125 \times 9800 }{ 48 \times 11 \times { 10 }^{ 9 } \times \frac{ 1 }{ 15 } } \times 1000$$

Evaluate

$$\frac{49}{1408}\approx 0.034801136$$

Solution Steps

Cancel out 8 in both numerator and denominator.

$$\frac{125\times 1225}{\frac{1}{15}\times 6\times 11\times 10^{9}}\times 1000$$

Multiply 125 and 1225 to get 153125.

$$\frac{153125}{\frac{1}{15}\times 6\times 11\times 10^{9}}\times 1000$$

Multiply \frac{1}{15} and 6 to get \frac{6}{15}.

$$\frac{153125}{\frac{6}{15}\times 11\times 10^{9}}\times 1000$$

Reduce the fraction \frac{6}{15} to lowest terms by extracting and canceling out 3.

$$\frac{153125}{\frac{2}{5}\times 11\times 10^{9}}\times 1000$$

Express \frac{2}{5}\times 11 as a single fraction.

$$\frac{153125}{\frac{2\times 11}{5}\times 10^{9}}\times 1000$$

Multiply 2 and 11 to get 22.

$$\frac{153125}{\frac{22}{5}\times 10^{9}}\times 1000$$

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{153125}{\frac{22}{5}\times 1000000000}\times 1000$$

Express \frac{22}{5}\times 1000000000 as a single fraction.

$$\frac{153125}{\frac{22\times 1000000000}{5}}\times 1000$$

Multiply 22 and 1000000000 to get 22000000000.

$$\frac{153125}{\frac{22000000000}{5}}\times 1000$$

Divide 22000000000 by 5 to get 4400000000.

$$\frac{153125}{4400000000}\times 1000$$

Reduce the fraction \frac{153125}{4400000000} to lowest terms by extracting and canceling out 3125.

$$\frac{49}{1408000}\times 1000$$

Express \frac{49}{1408000}\times 1000 as a single fraction.

$$\frac{49\times 1000}{1408000}$$

Multiply 49 and 1000 to get 49000.

$$\frac{49000}{1408000}$$

Reduce the fraction \frac{49000}{1408000} to lowest terms by extracting and canceling out 1000.

$$\frac{49}{1408}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {7} \cdot 11} = 0.03480113636363636$$