Solve 21/3div(1/2*2/7)div1/4=

$$2 \frac { 1 } { 3 } \div ( \frac { 1 } { 2 } \times \frac { 2 } { 7 } ) \div \frac { 1 } { 4 } =$$

Evaluate

$$\frac{196}{3}\approx 65.333333333$$

Solution Steps

Divide \frac{\frac{2\times 3+1}{3}}{\frac{1}{2}\times \frac{2}{7}} by \frac{1}{4} by multiplying \frac{\frac{2\times 3+1}{3}}{\frac{1}{2}\times \frac{2}{7}} by the reciprocal of \frac{1}{4}.

$$\frac{\frac{2\times 3+1}{3}\times 4}{\frac{1}{2}\times \frac{2}{7}}$$

Multiply 2 and 3 to get 6.

$$\frac{\frac{6+1}{3}\times 4}{\frac{1}{2}\times \frac{2}{7}}$$

Add 6 and 1 to get 7.

$$\frac{\frac{7}{3}\times 4}{\frac{1}{2}\times \frac{2}{7}}$$

Express \frac{7}{3}\times 4 as a single fraction.

$$\frac{\frac{7\times 4}{3}}{\frac{1}{2}\times \frac{2}{7}}$$

Multiply 7 and 4 to get 28.

$$\frac{\frac{28}{3}}{\frac{1}{2}\times \frac{2}{7}}$$

Multiply \frac{1}{2} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{28}{3}}{\frac{1\times 2}{2\times 7}}$$

Cancel out 2 in both numerator and denominator.

$$\frac{\frac{28}{3}}{\frac{1}{7}}$$

Divide \frac{28}{3} by \frac{1}{7} by multiplying \frac{28}{3} by the reciprocal of \frac{1}{7}.

$$\frac{28}{3}\times 7$$

Express \frac{28}{3}\times 7 as a single fraction.

$$\frac{28\times 7}{3}$$

Multiply 28 and 7 to get 196.

$$\frac{196}{3}$$

Factor

$$\frac{2 ^ {2} \cdot 7 ^ {2}}{3} = 65\frac{1}{3} = 65.33333333333333$$