Solve 15.112.5/250^2*10^7=

$$15.1 \frac{ 12.5 }{ { 250 }^{ 2 } } \times { 10 }^{ 7 } =$$

Evaluate

$$30200$$

Solution Steps

Calculate 250 to the power of 2 and get 62500.

$$15.1\times \frac{12.5}{62500}\times 10^{7}$$

Expand \frac{12.5}{62500} by multiplying both numerator and the denominator by 10.

$$15.1\times \frac{125}{625000}\times 10^{7}$$

Reduce the fraction \frac{125}{625000} to lowest terms by extracting and canceling out 125.

$$15.1\times \frac{1}{5000}\times 10^{7}$$

Convert decimal number 15.1 to fraction \frac{151}{10}.

$$\frac{151}{10}\times \frac{1}{5000}\times 10^{7}$$

Multiply \frac{151}{10} times \frac{1}{5000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{151\times 1}{10\times 5000}\times 10^{7}$$

Do the multiplications in the fraction \frac{151\times 1}{10\times 5000}.

$$\frac{151}{50000}\times 10^{7}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{151}{50000}\times 10000000$$

Express \frac{151}{50000}\times 10000000 as a single fraction.

$$\frac{151\times 10000000}{50000}$$

Multiply 151 and 10000000 to get 1510000000.

$$\frac{1510000000}{50000}$$

Divide 1510000000 by 50000 to get 30200.

$$30200$$

Factor

$$151\times 2^{3}\times 5^{2}$$