Solve 6/4div2/7

$$\frac { 6 } { 4 } \div \frac { 2 } { 7 }$$

Evaluate

$$\frac{21}{4}=5.25$$

Solution Steps

Divide \frac{6}{4} by \frac{2}{7} by multiplying \frac{6}{4} by the reciprocal of \frac{2}{7}.

$$\frac{6\times 7}{4\times 2}$$

Cancel out 2 in both numerator and denominator.

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

Multiply 3 and 7 to get 21.

$$\frac{21}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{21}{4}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {2}} = 5\frac{1}{4} = 5.25$$