Solve 6.63/frac{1{12}1.99}

$$\frac{ 6.63 }{ \frac{ 1 }{ 12 } 1.99 }$$

Evaluate

$$\frac{7956}{199}\approx 39.979899497$$

Solution Steps

Convert decimal number 1.99 to fraction \frac{199}{100}.

$$\frac{6.63}{\frac{1}{12}\times \frac{199}{100}}$$

Multiply \frac{1}{12} times \frac{199}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6.63}{\frac{1\times 199}{12\times 100}}$$

Do the multiplications in the fraction \frac{1\times 199}{12\times 100}.

$$\frac{6.63}{\frac{199}{1200}}$$

Divide 6.63 by \frac{199}{1200} by multiplying 6.63 by the reciprocal of \frac{199}{1200}.

$$6.63\times \frac{1200}{199}$$

Convert decimal number 6.63 to fraction \frac{663}{100}.

$$\frac{663}{100}\times \frac{1200}{199}$$

Multiply \frac{663}{100} times \frac{1200}{199} by multiplying numerator times numerator and denominator times denominator.

$$\frac{663\times 1200}{100\times 199}$$

Do the multiplications in the fraction \frac{663\times 1200}{100\times 199}.

$$\frac{795600}{19900}$$

Reduce the fraction \frac{795600}{19900} to lowest terms by extracting and canceling out 100.

$$\frac{7956}{199}$$

Factor

$$\frac{13 \cdot 17 \cdot 2 ^ {2} \cdot 3 ^ {2}}{199} = 39\frac{195}{199} = 39.97989949748744$$