Solve I=8/3+5/3*(5/2-5/4)

$$I = \frac { 8 } { 3 } + \frac { 5 } { 3 } \times ( \frac { 5 } { 2 } - \frac { 5 } { 4 } )$$

Solve for I

$$I = \frac{19}{4} = 4\frac{3}{4} = 4.75$$

Steps for Solving Linear Equation

Least common multiple of 2 and 4 is 4. Convert \frac{5}{2} and \frac{5}{4} to fractions with denominator 4.

$$I=\frac{8}{3}+\frac{5}{3}\left(\frac{10}{4}-\frac{5}{4}\right)$$

Since \frac{10}{4} and \frac{5}{4} have the same denominator, subtract them by subtracting their numerators.

$$I=\frac{8}{3}+\frac{5}{3}\times \frac{10-5}{4}$$

Subtract 5 from 10 to get 5.

$$I=\frac{8}{3}+\frac{5}{3}\times \frac{5}{4}$$

Multiply \frac{5}{3} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$I=\frac{8}{3}+\frac{5\times 5}{3\times 4}$$

Do the multiplications in the fraction \frac{5\times 5}{3\times 4}.

$$I=\frac{8}{3}+\frac{25}{12}$$

Least common multiple of 3 and 12 is 12. Convert \frac{8}{3} and \frac{25}{12} to fractions with denominator 12.

$$I=\frac{32}{12}+\frac{25}{12}$$

Since \frac{32}{12} and \frac{25}{12} have the same denominator, add them by adding their numerators.

$$I=\frac{32+25}{12}$$

Add 32 and 25 to get 57.

$$I=\frac{57}{12}$$

Reduce the fraction \frac{57}{12} to lowest terms by extracting and canceling out 3.

$$I=\frac{19}{4}$$

Assign I

$$I≔\frac{19}{4}$$