Solve 6/7divv=66/49

$$\frac { 6 } { 7 } \div v = \frac { 66 } { 49 }$$

Solve for v

$$v=\frac{7}{11}\approx 0.636363636$$

Steps for Solving Linear Equation

Variable v cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 49v, the least common multiple of v,49.

$$49\times \frac{6}{7}=66v$$

Express 49\times \frac{6}{7} as a single fraction.

$$\frac{49\times 6}{7}=66v$$

Multiply 49 and 6 to get 294.

$$\frac{294}{7}=66v$$

Divide 294 by 7 to get 42.

$$42=66v$$

Swap sides so that all variable terms are on the left hand side.

$$66v=42$$

Divide both sides by 66.

$$v=\frac{42}{66}$$

Reduce the fraction \frac{42}{66} to lowest terms by extracting and canceling out 6.

$$v=\frac{7}{11}$$