Fractions on a Number Line

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 $$\frac{1}{2}$$ , 1 is the part and 2 is the whole.

The numerator is the top number of a fraction and represents how many parts of the whole are being considered.

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

Two fractions are equivalent if they represent the same part of a whole, even if they have different numerators and denominators. For example, $$\frac{1}{2}$$ and $$\frac{2}{4}$$ are equivalent.

To find an equivalent fraction, you can multiply or divide both the numerator and the denominator by the same non-zero number. For example, multiplying $$\frac{1}{2}$$ by 2 gives $$\frac{2}{4}$$ .

The first step is to identify the whole number that the fraction is part of and divide the segment between two whole numbers into equal parts based on the denominator.

To place $$\frac{3}{4}$$ on a number line, divide the segment between 0 and 1 into 4 equal parts. Count 3 parts from 0 to find $$\frac{3}{4}$$ .

Fractions can be converted to decimals by dividing the numerator by the denominator. For example, $$\frac{1}{2}$$ equals 0.5.

A mixed number is a whole number combined with a fraction. For example, 1 $$\frac{1}{2}$$ is a mixed number.

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that result over the original denominator. For example, 1 $$\frac{1}{2}$$ becomes $$\frac{3}{2}$$ .