Solve =2r/r+6div2r/7r+42quad42

$$= \frac { 2 r } { r + 6 } \div \frac { 2 r } { 7 r + 42 } \quad 42$$

Evaluate

$$294$$

Short Solution Steps

Divide \frac{2r}{r+6} by \frac{2r}{7r+42} by multiplying \frac{2r}{r+6} by the reciprocal of \frac{2r}{7r+42}.

$$\frac{2r\left(7r+42\right)}{\left(r+6\right)\times 2r}\times 42$$

Cancel out 2r in both numerator and denominator.

$$\frac{7r+42}{r+6}\times 42$$

Factor the expressions that are not already factored in \frac{7r+42}{r+6}.

$$\frac{7\left(r+6\right)}{r+6}\times 42$$

Cancel out r+6 in both numerator and denominator.

$$7\times 42$$

Multiply 7 and 42 to get 294.

$$294$$

Factor

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