Converting Mixed Numbers and Improper Fractions

A mixed number is a whole number combined with a proper fraction, such as $$2\frac{1}{2}$$ .

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as $$\frac{5}{3}$$ .

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. For example, to convert $$3\frac{1}{3}$$ : (3 * 3 + 1) / 3 = $$\frac{10}{3}$$ .

Divide the numerator by the denominator. The quotient is the whole number, and the remainder over the denominator is the fraction. For example, $$\frac{27}{6}$$ gives 4 with a remainder of 3, so it converts to $$4\frac{3}{6}$$ .

Multiply the whole number (5) by the denominator (4): 5 * 4 = 20.

Add the numerator (1) to the product (20): 20 + 1 = 21. Place this over the original denominator: $$\frac{21}{4}$$ .

The denominator is the bottom number of a fraction that indicates how many equal parts the whole is divided into.

The numerator is the top number of a fraction that indicates how many parts are being considered.

Divide 13 by 3, which equals 4 with a remainder of 1. So, it converts to $$4\frac{1}{3}$$ .

Divide 34 by 6, which equals 5 with a remainder of 4. So, it converts to $$5\frac{4}{6}$$ .