Adding Rational Numbers

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

To add two fractions with the same denominator, simply add the numerators and keep the denominator the same. For example, $$\frac{a}{c} + \frac{b}{c} = \frac{a+b}{c}$$ .

To add fractions with different denominators, first find a common denominator, convert each fraction, and then add the numerators. For example, $$\frac{a}{b} + \frac{c}{d} = \frac{a \times d + b \times c}{b \times d}$$ .

The simplest form of a fraction is when the numerator and denominator have no common factors other than 1.

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder becomes the new numerator over the original denominator.

$$2\frac{1}{6}$$ .

$$\frac{1}{10}$$ .

$$-4\frac{1}{12}$$ .

To add a positive and a negative decimal, subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value.

3.6.