Multiplying & Dividing Fractions Problem Solving C

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.

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

The reciprocal of a fraction $$\frac{a}{b}$$ is $$\frac{b}{a}$$ , obtained by flipping the numerator and denominator.

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 mixed number is a whole number combined with a proper fraction, such as $$2\frac{1}{2}$$ .

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator.

The least common denominator is the smallest multiple that two or more denominators share, used to add or subtract fractions.

To add fractions with different denominators, first find the least common denominator (LCD), convert the fractions, 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 $$\frac{5}{4}$$ .