Solve 1/92707.04-299.9=

$$\frac{ 1 }{ 9 } 2707.04-299.9=$$

Evaluate

$$\frac{397}{450}\approx 0.882222222$$

Solution Steps

Convert decimal number 2707.04 to fraction \frac{270704}{100}. Reduce the fraction \frac{270704}{100} to lowest terms by extracting and canceling out 4.

$$\frac{1}{9}\times \frac{67676}{25}-299.9$$

Multiply \frac{1}{9} times \frac{67676}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 67676}{9\times 25}-299.9$$

Do the multiplications in the fraction \frac{1\times 67676}{9\times 25}.

$$\frac{67676}{225}-299.9$$

Convert decimal number 299.9 to fraction \frac{2999}{10}.

$$\frac{67676}{225}-\frac{2999}{10}$$

Least common multiple of 225 and 10 is 450. Convert \frac{67676}{225} and \frac{2999}{10} to fractions with denominator 450.

$$\frac{135352}{450}-\frac{134955}{450}$$

Since \frac{135352}{450} and \frac{134955}{450} have the same denominator, subtract them by subtracting their numerators.

$$\frac{135352-134955}{450}$$

Subtract 134955 from 135352 to get 397.

$$\frac{397}{450}$$

Factor

$$\frac{397}{2 \cdot 3 ^ {2} \cdot 5 ^ {2}} = 0.8822222222222222$$