Fraction Operations Mastery

A fraction represents a part of a whole and is written as $$\frac{a}{b}$$ , where 'a' is the numerator and 'b' is the denominator.

Unlike denominators are when the denominators of two or more fractions are different, making it necessary to find a common denominator to perform operations like addition or subtraction.

1. Find a common denominator. 2. Convert each fraction to an equivalent fraction with the common denominator. 3. Subtract the numerators and keep the common denominator.

1. Find a common denominator. 2. Convert each fraction to an equivalent fraction with the common denominator. 3. Add the numerators and keep the common denominator.

To multiply fractions, multiply the numerators together and the denominators together: $$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$$ .

To divide fractions, multiply by the reciprocal of the second fraction: $$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$$ .

A common denominator is a shared multiple of the denominators of two or more fractions, allowing for addition or subtraction.

The least common denominator is the smallest common multiple of the denominators of two or more fractions.

To simplify a fraction, divide the numerator and the denominator by their greatest common factor (GCF).

The greatest common factor is the largest number that divides two or more numbers without leaving a remainder.