Operations with Rational Numbers Math Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

easy
Calculate \(\frac{2}{3} + \frac{1}{4}\).

Solution

  1. 1
    Find the LCD of 3 and 4: LCD = 12.
  2. 2
    \(\frac{2}{3} = \frac{8}{12}\) and \(\frac{1}{4} = \frac{3}{12}\).
  3. 3
    Add: \(\frac{8}{12} + \frac{3}{12} = \frac{11}{12}\).
  4. 4
    \(\frac{11}{12}\) is already in lowest terms.

Answer

\(\dfrac{11}{12}\)
To add fractions, convert to a common denominator (LCD=12), add numerators, and simplify.

About Operations with Rational Numbers

Extending addition, subtraction, multiplication, and division to the full set of rational numbers—including fractions, decimals, mixed numbers, and their negative counterparts.

Learn more about Operations with Rational Numbers →

More Operations with Rational Numbers Examples

Example 2 medium

Calculate (frac{5}{6} times frac{3}{10}) and simplify.

Example 3 easy

Calculate (frac{3}{4} - frac{1}{6}).

Example 4 medium

Calculate (frac{7}{8} div frac{3}{4}).

← All Operations with Rational Numbers Examples Operations with Rational Numbers Concept