Solve 21/3:62/3=

$$2 \frac { 1 } { 3 } : 6 \frac { 2 } { 3 } =$$

Evaluate

$$\frac{7}{20}=0.35$$

Solution Steps

Divide \frac{2\times 3+1}{3} by \frac{6\times 3+2}{3} by multiplying \frac{2\times 3+1}{3} by the reciprocal of \frac{6\times 3+2}{3}.

$$\frac{\left(2\times 3+1\right)\times 3}{3\left(6\times 3+2\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{1+2\times 3}{2+3\times 6}$$

Multiply 2 and 3 to get 6.

$$\frac{1+6}{2+3\times 6}$$

Add 1 and 6 to get 7.

$$\frac{7}{2+3\times 6}$$

Multiply 3 and 6 to get 18.

$$\frac{7}{2+18}$$

Add 2 and 18 to get 20.

$$\frac{7}{20}$$

Factor

$$\frac{7}{2 ^ {2} \cdot 5} = 0.35$$