Solve 1,3/frac{1{12}+1}

$$\frac { 1,3 } { \frac { 1 } { 12 } + 1 }$$

Evaluate

$$1,2$$

Solution Steps

Convert 1 to fraction \frac{12}{12}.

$$\frac{1,3}{\frac{1}{12}+\frac{12}{12}}$$

Since \frac{1}{12} and \frac{12}{12} have the same denominator, add them by adding their numerators.

$$\frac{1,3}{\frac{1+12}{12}}$$

Add 1 and 12 to get 13.

$$\frac{1,3}{\frac{13}{12}}$$

Divide 1,3 by \frac{13}{12} by multiplying 1,3 by the reciprocal of \frac{13}{12}.

$$1,3\times \frac{12}{13}$$

Convert decimal number 1,3 to fraction \frac{13}{10}.

$$\frac{13}{10}\times \frac{12}{13}$$

Multiply \frac{13}{10} times \frac{12}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 12}{10\times 13}$$

Cancel out 13 in both numerator and denominator.

$$\frac{12}{10}$$

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

$$\frac{6}{5}$$

Factor

$$\frac{2 \cdot 3}{5} = 1\frac{1}{5} = 1.2$$