Unit 4a Test Review

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.

Converting an improper fraction to a mixed number involves expressing the fraction as a whole number and a proper fraction. For example, $$\frac{9}{5}$$ can be converted to 1 $$\frac{4}{5}$$ .

To add fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators. For example, to add $$\frac{1}{4}$$ and $$\frac{1}{2}$$ , convert $$\frac{1}{2}$$ to $$\frac{2}{4}$$ , then add: $$\frac{1}{4} + \frac{2}{4} = \frac{3}{4}$$ .

A mixed number is a whole number combined with a proper fraction. For example, 1 $$\frac{3}{4}$$ is a mixed number.

To subtract fractions, ensure they have a common denominator, then subtract the numerators. For example, $$\frac{3}{4} - \frac{1}{4} = \frac{2}{4} = \frac{1}{2}$$ .

To find the difference between two mixed numbers, convert them to improper fractions, subtract, and if necessary, convert back to a mixed number.

The numerator is the top part of a fraction that indicates how many parts are being considered. For example, in $$\frac{3}{4}$$ , 3 is the numerator.

The denominator is the bottom part of a fraction that indicates the total number of equal parts the whole is divided into. In $$\frac{3}{4}$$ , 4 is the denominator.

To express a fraction as a decimal, divide the numerator by the denominator. For example, $$\frac{1}{2} = 0.5$$ .

Fractions can be interpreted as division. For example, $$\frac{3}{4}$$ means 3 divided by 4.