Solve z=15/4-5/2*7/5*2

$$z = \frac { 15 } { 4 } - \frac { 5 } { 2 } \times \frac { 7 } { 5 } \cdot 2$$

Solve for z

$$z = -\frac{13}{4} = -3\frac{1}{4} = -3.25$$

Steps for Solving Linear Equation

Multiply \frac{5}{2} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$z=\frac{15}{4}-\frac{5\times 7}{2\times 5}\times 2$$

Cancel out 5 in both numerator and denominator.

$$z=\frac{15}{4}-\frac{7}{2}\times 2$$

Cancel out 2 and 2.

$$z=\frac{15}{4}-7$$

Convert 7 to fraction \frac{28}{4}.

$$z=\frac{15}{4}-\frac{28}{4}$$

Since \frac{15}{4} and \frac{28}{4} have the same denominator, subtract them by subtracting their numerators.

$$z=\frac{15-28}{4}$$

Subtract 28 from 15 to get -13.

$$z=-\frac{13}{4}$$

Assign z

$$z≔-\frac{13}{4}$$