Find different fractions that name the same amount. Fill a missing numerator or denominator while keeping the fraction’s value unchanged.
Begin with the restricted third-grade denominator set, or use the broader equivalent-fraction level for fourth-grade practice. Explain the relationship with equal-sized wholes before relying on a shortcut.
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Multiplying both the numerator and denominator by the same nonzero number preserves a fraction’s value. For example, 1/2 = 3/6 because both 1 and 2 have been multiplied by 3. One of two equal parts and three of six equal parts cover the same amount of a same-sized whole.
In 2/3 = __/6, the denominator has doubled. Double the numerator as well: 2 × 2 = 4. The completed statement is 2/3 = 4/6. Check by simplifying 4/6 back to 2/3.
Fraction models must use the same-sized whole when comparing amounts. Also avoid changing only the denominator: 1/2 and 1/6 are not equivalent.
The third-grade level uses denominators 2, 3, 4, 6, and 8 in both fractions. The broader level extends the same reasoning to other values. These are equivalence questions, not a separate set of addition calculations.