Solve 11/14-(1,1-23/14)

$$\frac { 11 } { 14 } - ( 1,1 - 2 \frac { 3 } { 14 } )$$

Evaluate

$$1,9$$

Solution Steps

Multiply 2 and 14 to get 28.

$$\frac{11}{14}-\left(1,1-\frac{28+3}{14}\right)$$

Add 28 and 3 to get 31.

$$\frac{11}{14}-\left(1,1-\frac{31}{14}\right)$$

Convert decimal number 1,1 to fraction \frac{11}{10}.

$$\frac{11}{14}-\left(\frac{11}{10}-\frac{31}{14}\right)$$

Least common multiple of 10 and 14 is 70. Convert \frac{11}{10} and \frac{31}{14} to fractions with denominator 70.

$$\frac{11}{14}-\left(\frac{77}{70}-\frac{155}{70}\right)$$

Since \frac{77}{70} and \frac{155}{70} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11}{14}-\frac{77-155}{70}$$

Subtract 155 from 77 to get -78.

$$\frac{11}{14}-\frac{-78}{70}$$

Reduce the fraction \frac{-78}{70} to lowest terms by extracting and canceling out 2.

$$\frac{11}{14}-\left(-\frac{39}{35}\right)$$

The opposite of -\frac{39}{35} is \frac{39}{35}.

$$\frac{11}{14}+\frac{39}{35}$$

Least common multiple of 14 and 35 is 70. Convert \frac{11}{14} and \frac{39}{35} to fractions with denominator 70.

$$\frac{55}{70}+\frac{78}{70}$$

Since \frac{55}{70} and \frac{78}{70} have the same denominator, add them by adding their numerators.

$$\frac{55+78}{70}$$

Add 55 and 78 to get 133.

$$\frac{133}{70}$$

Reduce the fraction \frac{133}{70} to lowest terms by extracting and canceling out 7.

$$\frac{19}{10}$$

Factor

$$\frac{19}{2 \cdot 5} = 1\frac{9}{10} = 1.9$$