Envisions - Topic 8 - 4th Grade

A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). For example, in the fraction 1/2, 1 is the part and 2 is the whole.

Comparing fractions involves determining which fraction is larger, smaller, or if they are equal. This can be done by finding a common denominator or converting them to decimals.

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

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

To add fractions with the same denominator, keep the denominator the same and add the numerators. For example, $$\frac{1}{4} + \frac{2}{4} = \frac{3}{4}$$ .

To add fractions with different denominators, find a common denominator, convert the fractions, and then add the numerators. For example, $$\frac{1}{2} + \frac{1}{3} = \frac{3}{6} + \frac{2}{6} = \frac{5}{6}$$ .

A mixed number is a whole number combined with a fraction. For example, 1 1/2 is a mixed number.

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 numerator of the fraction.

Equivalent fractions are different fractions that represent the same value. For example, $$\frac{1}{2}$$ is equivalent to $$\frac{2}{4}$$ .

To simplify a fraction, divide both the numerator and the denominator by their greatest common factor (GCF). For example, $$\frac{4}{8} = \frac{1}{2}$$ .