Solve z=15/4-5/27/5=

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

Solve for z

$$z=\frac{1}{4}=0.25$$

Steps for Solving Linear Equation

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

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

Cancel out 5 in both numerator and denominator.

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

Least common multiple of 4 and 2 is 4. Convert \frac{15}{4} and \frac{7}{2} to fractions with denominator 4.

$$z=\frac{15}{4}-\frac{14}{4}$$

Since \frac{15}{4} and \frac{14}{4} have the same denominator, subtract them by subtracting their numerators.

$$z=\frac{15-14}{4}$$

Subtract 14 from 15 to get 1.

$$z=\frac{1}{4}$$

Assign z

$$z≔\frac{1}{4}$$