Solve 1div(1/10+1/15)=x

$$1 \div ( \frac { 1 } { 10 } + \frac { 1 } { 15 } ) = x$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Least common multiple of 10 and 15 is 30. Convert \frac{1}{10} and \frac{1}{15} to fractions with denominator 30.

$$\frac{1}{\frac{3}{30}+\frac{2}{30}}=x$$

Since \frac{3}{30} and \frac{2}{30} have the same denominator, add them by adding their numerators.

$$\frac{1}{\frac{3+2}{30}}=x$$

Add 3 and 2 to get 5.

$$\frac{1}{\frac{5}{30}}=x$$

Reduce the fraction \frac{5}{30} to lowest terms by extracting and canceling out 5.

$$\frac{1}{\frac{1}{6}}=x$$

Divide 1 by \frac{1}{6} by multiplying 1 by the reciprocal of \frac{1}{6}.

$$1\times 6=x$$

Multiply 1 and 6 to get 6.

$$6=x$$

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

$$x=6$$