Solve 10/1frac{2{5}}=35/x

$$\frac { 10 } { 1 \frac { 2 } { 5 } } = \frac { 35 } { x }$$

Solve for x

$$x = \frac{49}{10} = 4\frac{9}{10} = 4.9$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$\frac{5}{7}x\times 10=35$$

Express \frac{5}{7}\times 10 as a single fraction.

$$\frac{5\times 10}{7}x=35$$

Multiply 5 and 10 to get 50.

$$\frac{50}{7}x=35$$

Multiply both sides by \frac{7}{50}, the reciprocal of \frac{50}{7}.

$$x=35\times \frac{7}{50}$$

Express 35\times \frac{7}{50} as a single fraction.

$$x=\frac{35\times 7}{50}$$

Multiply 35 and 7 to get 245.

$$x=\frac{245}{50}$$

Reduce the fraction \frac{245}{50} to lowest terms by extracting and canceling out 5.

$$x=\frac{49}{10}$$