Solve 1-(141/1-141)/1.1=

$$\frac { 1 - ( \frac { 141 } { 1 - 141 } ) } { 1.1 } =$$

Evaluate

$$\frac{281}{154}\approx 1.824675325$$

Solution Steps

Subtract 141 from 1 to get -140.

$$\frac{1-\frac{141}{-140}}{1.1}$$

Fraction \frac{141}{-140} can be rewritten as -\frac{141}{140} by extracting the negative sign.

$$\frac{1-\left(-\frac{141}{140}\right)}{1.1}$$

The opposite of -\frac{141}{140} is \frac{141}{140}.

$$\frac{1+\frac{141}{140}}{1.1}$$

Convert 1 to fraction \frac{140}{140}.

$$\frac{\frac{140}{140}+\frac{141}{140}}{1.1}$$

Since \frac{140}{140} and \frac{141}{140} have the same denominator, add them by adding their numerators.

$$\frac{\frac{140+141}{140}}{1.1}$$

Add 140 and 141 to get 281.

$$\frac{\frac{281}{140}}{1.1}$$

Express \frac{\frac{281}{140}}{1.1} as a single fraction.

$$\frac{281}{140\times 1.1}$$

Multiply 140 and 1.1 to get 154.

$$\frac{281}{154}$$

Factor

$$\frac{281}{2 \cdot 7 \cdot 11} = 1\frac{127}{154} = 1.8246753246753247$$