Maths Test 4.3ABCD

An equivalent fraction is a fraction that represents the same value as another fraction, even though the numerator and denominator are different. For example, $$\frac{1}{2}$$ and $$\frac{2}{4}$$ are equivalent fractions.

To find an equivalent fraction, you can multiply or divide both the numerator and the denominator of a fraction by the same non-zero number. For example, to find an equivalent fraction for $$\frac{3}{4}$$ , multiply both by 2 to get $$\frac{6}{8}$$ .

A mixed number is a whole number combined with a fraction. For example, $$2 \frac{1}{3}$$ is a mixed number, which means 2 whole parts and 1/3 of another part.

A mixed number can be represented as a sum of its whole number and its fractional part. For example, $$2 \frac{1}{3}$$ can be represented as $$2 + \frac{1}{3}$$ .

The sum of fractions is found by adding the numerators together while keeping the same denominator, or by finding a common denominator if the denominators are different. For example, $$\frac{1}{4} + \frac{1}{4} = \frac{2}{4}$$ .

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1. For example, $$\frac{4}{8}$$ simplifies to $$\frac{1}{2}$$ .

The least common denominator is the smallest number that can be used as a common denominator for two or more fractions. For example, the LCD of $$\frac{1}{3}$$ and $$\frac{1}{4}$$ is 12.

To add fractions with different denominators, first find the least common denominator (LCD), convert each fraction to an equivalent fraction with the LCD, and then add the numerators.

A proper fraction is a fraction where the numerator is less than the denominator, such as $$\frac{3}{4}$$ .

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