Solve [1-(1305/1305+1888+1955)]*100%

$$[ 1 - ( \frac { 1305 } { 1305 + 1888 + 1955 } ) ] \times 100 \%$$

Evaluate

$$\frac{427}{572}\approx 0.746503497$$

Solution Steps

Divide 100 by 100 to get 1.

$$\left(1-\frac{1305}{1305+1888+1955}\right)\times 1$$

Add 1305 and 1888 to get 3193.

$$\left(1-\frac{1305}{3193+1955}\right)\times 1$$

Add 3193 and 1955 to get 5148.

$$\left(1-\frac{1305}{5148}\right)\times 1$$

Reduce the fraction \frac{1305}{5148} to lowest terms by extracting and canceling out 9.

$$\left(1-\frac{145}{572}\right)\times 1$$

Convert 1 to fraction \frac{572}{572}.

$$\left(\frac{572}{572}-\frac{145}{572}\right)\times 1$$

Since \frac{572}{572} and \frac{145}{572} have the same denominator, subtract them by subtracting their numerators.

$$\frac{572-145}{572}\times 1$$

Subtract 145 from 572 to get 427.

$$\frac{427}{572}\times 1$$

Multiply \frac{427}{572} and 1 to get \frac{427}{572}.

$$\frac{427}{572}$$

Factor

$$\frac{7 \cdot 61}{2 ^ {2} \cdot 11 \cdot 13} = 0.7465034965034965$$