Mixed numbers and Improper Fractions

$$\frac{31}{6}$$

$$1\frac{5}{6}$$

All of these statements are true: 1) All Improper Fractions are greater than 1. 2) All improper fractions have numerators that are bigger than their denominators. 3) All improper fractions can be turned into a mixed number.

1 2/3

$$5\frac{2}{4}$$

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

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as $$\frac{5}{4}$$ .

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.

Divide the numerator by the denominator to find the whole number, and use the remainder as the new numerator over the original denominator.

Every mixed number can be converted to an improper fraction and vice versa.