Solve 7/15div2x=1/3

$$\frac { 7 } { 15 } \div 2 x = \frac { 1 } { 3 }$$

Solve for x

$$x = \frac{10}{7} = 1\frac{3}{7} \approx 1.428571429$$

Steps for Solving Linear Equation

Express \frac{\frac{7}{15}}{2} as a single fraction.

$$\frac{7}{15\times 2}x=\frac{1}{3}$$

Multiply 15 and 2 to get 30.

$$\frac{7}{30}x=\frac{1}{3}$$

Multiply both sides by \frac{30}{7}, the reciprocal of \frac{7}{30}.

$$x=\frac{1}{3}\times \frac{30}{7}$$

Multiply \frac{1}{3} times \frac{30}{7} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\times 30}{3\times 7}$$

Do the multiplications in the fraction \frac{1\times 30}{3\times 7}.

$$x=\frac{30}{21}$$

Reduce the fraction \frac{30}{21} to lowest terms by extracting and canceling out 3.

$$x=\frac{10}{7}$$