What are equivalent fractions?

Equivalent fractions are fractions that represent the same value or quantity, even though they may have different numerators and denominators. For example, 1/2 and 2/4 are equivalent fractions because they both represent the same portion of a whole. The concept of equivalent fractions is essential in understanding how fractions can be manipulated and compared.

When multiplying or dividing the numerator and denominator of a fraction by the same number, the fraction's value remains unchanged, which is what makes the fractions equivalent. This understanding is crucial for performing operations with fractions, simplifying them, and recognizing relationships between different sizes and forms of fractions.