Solve 2.4*688.6/3600

$$2.4 \cdot 6 \frac{ 88.6 }{ 3600 }$$

Evaluate

$$\frac{108443}{7500}\approx 14.459066667$$

Solution Steps

Multiply 6 and 3600 to get 21600.

$$2.4\times \frac{21600+88.6}{3600}$$

Add 21600 and 88.6 to get 21688.6.

$$2.4\times \frac{21688.6}{3600}$$

Expand \frac{21688.6}{3600} by multiplying both numerator and the denominator by 10.

$$2.4\times \frac{216886}{36000}$$

Reduce the fraction \frac{216886}{36000} to lowest terms by extracting and canceling out 2.

$$2.4\times \frac{108443}{18000}$$

Convert decimal number 2.4 to fraction \frac{24}{10}. Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.

$$\frac{12}{5}\times \frac{108443}{18000}$$

Multiply \frac{12}{5} times \frac{108443}{18000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{12\times 108443}{5\times 18000}$$

Do the multiplications in the fraction \frac{12\times 108443}{5\times 18000}.

$$\frac{1301316}{90000}$$

Reduce the fraction \frac{1301316}{90000} to lowest terms by extracting and canceling out 12.

$$\frac{108443}{7500}$$

Factor

$$\frac{17 \cdot 6379}{3 \cdot 2 ^ {2} \cdot 5 ^ {4}} = 14\frac{3443}{7500} = 14.459066666666667$$