Solve 1/3*(1-100/110)

$$\frac { 1 } { 3 } \times ( 1 - \frac { 100 } { 110 } )$$

Evaluate

$$\frac{1}{33}\approx 0.03030303$$

Solution Steps

Reduce the fraction \frac{100}{110} to lowest terms by extracting and canceling out 10.

$$\frac{1}{3}\left(1-\frac{10}{11}\right)$$

Convert 1 to fraction \frac{11}{11}.

$$\frac{1}{3}\left(\frac{11}{11}-\frac{10}{11}\right)$$

Since \frac{11}{11} and \frac{10}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{3}\times \frac{11-10}{11}$$

Subtract 10 from 11 to get 1.

$$\frac{1}{3}\times \frac{1}{11}$$

Multiply \frac{1}{3} times \frac{1}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{3\times 11}$$

Do the multiplications in the fraction \frac{1\times 1}{3\times 11}.

$$\frac{1}{33}$$

Factor

$$\frac{1}{3 \cdot 11} = 0.030303030303030304$$