Solve Q_{1}=25.5+(12.5-6/12)5

$$Q _ { 1 } = 25.5 + ( \frac { 12.5 - 6 } { 12 } ) 5$$

Solve for Q_1

$$Q_{1} = \frac{677}{24} = 28\frac{5}{24} \approx 28.208333333$$

Steps for Solving Linear Equation

Subtract 6 from 12.5 to get 6.5.

$$Q_{1}=25.5+\frac{6.5}{12}\times 5$$

Expand \frac{6.5}{12} by multiplying both numerator and the denominator by 10.

$$Q_{1}=25.5+\frac{65}{120}\times 5$$

Reduce the fraction \frac{65}{120} to lowest terms by extracting and canceling out 5.

$$Q_{1}=25.5+\frac{13}{24}\times 5$$

Express \frac{13}{24}\times 5 as a single fraction.

$$Q_{1}=25.5+\frac{13\times 5}{24}$$

Multiply 13 and 5 to get 65.

$$Q_{1}=25.5+\frac{65}{24}$$

Convert decimal number 25.5 to fraction \frac{255}{10}. Reduce the fraction \frac{255}{10} to lowest terms by extracting and canceling out 5.

$$Q_{1}=\frac{51}{2}+\frac{65}{24}$$

Least common multiple of 2 and 24 is 24. Convert \frac{51}{2} and \frac{65}{24} to fractions with denominator 24.

$$Q_{1}=\frac{612}{24}+\frac{65}{24}$$

Since \frac{612}{24} and \frac{65}{24} have the same denominator, add them by adding their numerators.

$$Q_{1}=\frac{612+65}{24}$$

Add 612 and 65 to get 677.

$$Q_{1}=\frac{677}{24}$$

Assign Q_1

$$Q_{1}≔\frac{677}{24}$$