Solve 20/21div2/3-1/3=

$$\frac { 20 } { 21 } \div \frac { 2 } { 3 } - \frac { 1 } { 3 } =$$

Evaluate

$$\frac{23}{21}\approx 1.095238095$$

Solution Steps

Divide \frac{20}{21} by \frac{2}{3} by multiplying \frac{20}{21} by the reciprocal of \frac{2}{3}.

$$\frac{20}{21}\times \frac{3}{2}-\frac{1}{3}$$

Multiply \frac{20}{21} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{20\times 3}{21\times 2}-\frac{1}{3}$$

Do the multiplications in the fraction \frac{20\times 3}{21\times 2}.

$$\frac{60}{42}-\frac{1}{3}$$

Reduce the fraction \frac{60}{42} to lowest terms by extracting and canceling out 6.

$$\frac{10}{7}-\frac{1}{3}$$

Least common multiple of 7 and 3 is 21. Convert \frac{10}{7} and \frac{1}{3} to fractions with denominator 21.

$$\frac{30}{21}-\frac{7}{21}$$

Since \frac{30}{21} and \frac{7}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{30-7}{21}$$

Subtract 7 from 30 to get 23.

$$\frac{23}{21}$$

Factor

$$\frac{23}{3 \cdot 7} = 1\frac{2}{21} = 1.0952380952380953$$