Solve 1.2/1-frac{1{3}}

$$\frac{ 1.2 }{ 1- \frac{ 1 }{ 3 } }$$

Evaluate

$$1.8$$

Solution Steps

Convert 1 to fraction \frac{3}{3}.

$$\frac{1.2}{\frac{3}{3}-\frac{1}{3}}$$

Since \frac{3}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1.2}{\frac{3-1}{3}}$$

Subtract 1 from 3 to get 2.

$$\frac{1.2}{\frac{2}{3}}$$

Divide 1.2 by \frac{2}{3} by multiplying 1.2 by the reciprocal of \frac{2}{3}.

$$1.2\times \frac{3}{2}$$

Convert decimal number 1.2 to fraction \frac{12}{10}. Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{6}{5}\times \frac{3}{2}$$

Multiply \frac{6}{5} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 3}{5\times 2}$$

Do the multiplications in the fraction \frac{6\times 3}{5\times 2}.

$$\frac{18}{10}$$

Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.

$$\frac{9}{5}$$

Factor

$$\frac{3 ^ {2}}{5} = 1\frac{4}{5} = 1.8$$