Chapter 12, Problem 1GR

To determine

To find: the solution in simplest form by adding or subtracting the two fractions.

Answer to Problem 1GR

  $\frac{5}{6}$ .

Explanation of Solution

Given:

  $\frac{2}{3}+\frac{1}{2}$ .

Concept used:

The least common multiple of the denominator which is called least common denominator.

Change each fraction making equivalent fractions to make the denominators the same as the least common denominator.

Let the denominator as it is and add or subtract the numerator.

If denominators of two factors doesn’t contain common factor then the L.C.D will be multiplication of two denominators.

Calculation:

  $\frac{2}{3}+\frac{1}{2}$ .

Adding the equation by taking $\text{L}\text{.C}\text{.D}$ :

  $\begin{array}{l}\frac{2\times 2}{3\times 2}+\frac{1\times 3}{2\times 3}.\\ \frac{2}{6}+\frac{3}{6}=\frac{5}{6}.\end{array}$

Hence, the solution of the equation is $\frac{5}{6}$ .