Solve U=(296/9)-[(2.6*9/2)]

$$U = ( \frac { 296 } { 9 } ) - [ ( \frac { 2.6 \times 9 } { 2 } ) ]$$

Solve for U

$$U = \frac{1907}{90} = 21\frac{17}{90} \approx 21.188888889$$

Steps for Solving Linear Equation

Multiply 2.6 and 9 to get 23.4.

$$U=\frac{296}{9}-\frac{23.4}{2}$$

Expand \frac{23.4}{2} by multiplying both numerator and the denominator by 10.

$$U=\frac{296}{9}-\frac{234}{20}$$

Reduce the fraction \frac{234}{20} to lowest terms by extracting and canceling out 2.

$$U=\frac{296}{9}-\frac{117}{10}$$

Least common multiple of 9 and 10 is 90. Convert \frac{296}{9} and \frac{117}{10} to fractions with denominator 90.

$$U=\frac{2960}{90}-\frac{1053}{90}$$

Since \frac{2960}{90} and \frac{1053}{90} have the same denominator, subtract them by subtracting their numerators.

$$U=\frac{2960-1053}{90}$$

Subtract 1053 from 2960 to get 1907.

$$U=\frac{1907}{90}$$

Assign U

$$U≔\frac{1907}{90}$$