Solve 990/1000*989/999

$$\frac{ 990 }{ 1000 } \times \frac{ 989 }{ 999 }$$

Evaluate

$$\frac{10879}{11100}\approx 0.98009009$$

Solution Steps

Reduce the fraction \frac{990}{1000} to lowest terms by extracting and canceling out 10.

$$\frac{99}{100}\times \frac{989}{999}$$

Multiply \frac{99}{100} times \frac{989}{999} by multiplying numerator times numerator and denominator times denominator.

$$\frac{99\times 989}{100\times 999}$$

Do the multiplications in the fraction \frac{99\times 989}{100\times 999}.

$$\frac{97911}{99900}$$

Reduce the fraction \frac{97911}{99900} to lowest terms by extracting and canceling out 9.

$$\frac{10879}{11100}$$

Factor

$$\frac{11 \cdot 23 \cdot 43}{2 ^ {2} \cdot 3 \cdot 5 ^ {2} \cdot 37} = 0.9800900900900901$$