Solve 7/40divx=25/8

$$\frac { 7 } { 40 } \div x = 2 \frac { 5 } { 8 }$$

Solve for x

$$x=\frac{1}{15}\approx 0.066666667$$

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 8x, the least common multiple of x,8.

$$8\times \frac{7}{40}=x\left(2\times 8+5\right)$$

Express 8\times \frac{7}{40} as a single fraction.

$$\frac{8\times 7}{40}=x\left(2\times 8+5\right)$$

Multiply 8 and 7 to get 56.

$$\frac{56}{40}=x\left(2\times 8+5\right)$$

Reduce the fraction \frac{56}{40} to lowest terms by extracting and canceling out 8.

$$\frac{7}{5}=x\left(2\times 8+5\right)$$

Multiply 2 and 8 to get 16.

$$\frac{7}{5}=x\left(16+5\right)$$

Add 16 and 5 to get 21.

$$\frac{7}{5}=x\times 21$$

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

$$x\times 21=\frac{7}{5}$$

Divide both sides by 21.

$$x=\frac{\frac{7}{5}}{21}$$

Express \frac{\frac{7}{5}}{21} as a single fraction.

$$x=\frac{7}{5\times 21}$$

Multiply 5 and 21 to get 105.

$$x=\frac{7}{105}$$

Reduce the fraction \frac{7}{105} to lowest terms by extracting and canceling out 7.

$$x=\frac{1}{15}$$