Solve 3600*1/6-3214,89*1/6

$$3600 \cdot \frac { 1 } { 6 } - 3214,89 \cdot \frac { 1 } { 6 }$$

Evaluate

$$64,185$$

Solution Steps

Multiply 3600 and \frac{1}{6} to get \frac{3600}{6}.

$$\frac{3600}{6}-3214,89\times \frac{1}{6}$$

Divide 3600 by 6 to get 600.

$$600-3214,89\times \frac{1}{6}$$

Convert decimal number 3214,89 to fraction \frac{321489}{100}.

$$600-\frac{321489}{100}\times \frac{1}{6}$$

Multiply \frac{321489}{100} times \frac{1}{6} by multiplying numerator times numerator and denominator times denominator.

$$600-\frac{321489\times 1}{100\times 6}$$

Do the multiplications in the fraction \frac{321489\times 1}{100\times 6}.

$$600-\frac{321489}{600}$$

Reduce the fraction \frac{321489}{600} to lowest terms by extracting and canceling out 3.

$$600-\frac{107163}{200}$$

Convert 600 to fraction \frac{120000}{200}.

$$\frac{120000}{200}-\frac{107163}{200}$$

Since \frac{120000}{200} and \frac{107163}{200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{120000-107163}{200}$$

Subtract 107163 from 120000 to get 12837.

$$\frac{12837}{200}$$

Factor

$$\frac{3 \cdot 11 \cdot 389}{2 ^ {3} \cdot 5 ^ {2}} = 64\frac{37}{200} = 64.185$$