Chapter SH, Problem 2.5EP

To determine

To solve the equation and calculate the value of $b$

Answer to Problem 2.5EP

  $b=\frac{-7}{6}$

Explanation of Solution

Given information: given expression is $\frac{1}{2}b+\frac{3}{4}=\frac{1}{6}$

Formula used:

Lowest common factor and cross multiplication method

Calculation: subtracting $\frac{3}{4}$ on both the sides

  $\frac{1}{2}b=\frac{1}{6}-\frac{3}{4}$

Using lowest common factor on the right hand side

  $\frac{b}{2}=\frac{2-9}{12}$

Solving it further

  $\frac{b}{2}=\frac{-7}{12}$

Using cross multiplication method

  $b=\frac{-14}{12}$

The final answer is

  $b=\frac{-7}{6}$