Solve 3.7div11.1=xdiv7/9

$$3.7 \div 11.1=x \div \frac{ 7 }{ 9 }$$

Solve for x

$$x=\frac{7}{27}\approx 0.259259259$$

Steps for Solving Linear Equation

Expand \frac{3.7}{11.1} by multiplying both numerator and the denominator by 10.

$$\frac{37}{111}=\frac{x}{\frac{7}{9}}$$

Reduce the fraction \frac{37}{111} to lowest terms by extracting and canceling out 37.

$$\frac{1}{3}=\frac{x}{\frac{7}{9}}$$

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

$$\frac{x}{\frac{7}{9}}=\frac{1}{3}$$

Multiply both sides by \frac{7}{9}.

$$x=\frac{1}{3}\times \frac{7}{9}$$

Multiply \frac{1}{3} times \frac{7}{9} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\times 7}{3\times 9}$$

Do the multiplications in the fraction \frac{1\times 7}{3\times 9}.

$$x=\frac{7}{27}$$