Solve 1/3-1/3*6/7=

$$\frac{ 1 }{ 3 } - \frac{ 1 }{ 3 } \times \frac{ 6 }{ 7 } =$$

Evaluate

$$\frac{1}{21}\approx 0.047619048$$

Solution Steps

Multiply \frac{1}{3} times \frac{6}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{3}-\frac{1\times 6}{3\times 7}$$

Do the multiplications in the fraction \frac{1\times 6}{3\times 7}.

$$\frac{1}{3}-\frac{6}{21}$$

Reduce the fraction \frac{6}{21} to lowest terms by extracting and canceling out 3.

$$\frac{1}{3}-\frac{2}{7}$$

Least common multiple of 3 and 7 is 21. Convert \frac{1}{3} and \frac{2}{7} to fractions with denominator 21.

$$\frac{7}{21}-\frac{6}{21}$$

Since \frac{7}{21} and \frac{6}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-6}{21}$$

Subtract 6 from 7 to get 1.

$$\frac{1}{21}$$

Factor

$$\frac{1}{3 \cdot 7} = 0.047619047619047616$$