Equivalent fractions name the same quantity even when their numerators and denominators differ; this relationship can be seen when equal-sized parts are regrouped, on area models, or at the same point on a number line. The learner understands that multiplying or dividing both terms by the same nonzero whole number preserves the fraction’s value, rather than changing only one term, supporting comparison and later work with operations on fractions.
Equivalent fractions have different numbers but name the same amount.
To find an equivalent fraction, multiply both the numerator and denominator by the same nonzero whole number.
Example: Find a fraction equivalent to with denominator .
Ask: What number changes into ?
Multiply the numerator by the same number:
Write the new fraction:
So, is equivalent to . Both fractions name the same amount. Remember to multiply both parts by the same number—not just the numerator or just the denominator.
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