Solve 0.05*6/6,6*6.99

$$0.05 \times \frac { 6 } { 6,6 } \times 6.99$$

Evaluate

$$\frac{699}{2200}\approx 0.317727273$$

Solution Steps

Expand \frac{6}{6.6} by multiplying both numerator and the denominator by 10.

$$0.05\times \frac{60}{66}\times 6.99$$

Reduce the fraction \frac{60}{66} to lowest terms by extracting and canceling out 6.

$$0.05\times \frac{10}{11}\times 6.99$$

Convert decimal number 0.05 to fraction \frac{5}{100}. Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\frac{1}{20}\times \frac{10}{11}\times 6.99$$

Multiply \frac{1}{20} times \frac{10}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 10}{20\times 11}\times 6.99$$

Do the multiplications in the fraction \frac{1\times 10}{20\times 11}.

$$\frac{10}{220}\times 6.99$$

Reduce the fraction \frac{10}{220} to lowest terms by extracting and canceling out 10.

$$\frac{1}{22}\times 6.99$$

Convert decimal number 6.99 to fraction \frac{699}{100}.

$$\frac{1}{22}\times \frac{699}{100}$$

Multiply \frac{1}{22} times \frac{699}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 699}{22\times 100}$$

Do the multiplications in the fraction \frac{1\times 699}{22\times 100}.

$$\frac{699}{2200}$$

Factor

$$\frac{3 \cdot 233}{11 \cdot 2 ^ {3} \cdot 5 ^ {2}} = 0.31772727272727275$$