Dividing Mixed Numbers

A mixed number is a whole number combined with a proper fraction, such as 2 1/2.

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. For example, 2 1/2 = (2*2 + 1)/2 = 5/2.

Convert each mixed number to an improper fraction.

To divide fractions, multiply by the reciprocal of the divisor. For example, $$\frac{a}{b} \times \frac{d}{c}$$ is the same as $$\frac{a}{b} \times \frac{c}{d}$$ .

The reciprocal of a fraction $$\frac{a}{b}$$ is $$\frac{b}{a}$$ .

Divide the numerator and the denominator by their greatest common divisor (GCD).

A fraction is in simplest form when the numerator and denominator have no common factors other than 1.

Dividing a whole number by a fraction is equivalent to multiplying the whole number by the reciprocal of the fraction.

Divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator over the original denominator.

$$\frac{3}{4}$$ , since both 6 and 8 can be divided by 2.