Equivalent Fractions Flashcards

Grade 4 · Math · Flashcards

Reinforce your knowledge of equivalent fractions, simplifying, and comparing with these practice cards.

Flashcards

Equivalent fractions: Fractions with the same value; e.g., 1/2 = 2/4 = 3/6 = 4/8
How to make an equivalent fraction: Multiply OR divide both numerator and denominator by the same nonzero number
Simplest form (lowest terms): A fraction where the only common factor of the numerator and denominator is 1; e.g., 3/5 is in simplest form
Simplify 4/8: Divide both by GCF of 4: 4 ÷ 4 = 1 and 8 ÷ 4 = 2 → 1/2
Simplify 9/12: GCF of 9 and 12 is 3: 9 ÷ 3 = 3 and 12 ÷ 3 = 4 → 3/4
Make 2/3 equivalent with denominator 12: 3 × 4 = 12, so multiply numerator by 4 too: 2 × 4 = 8 → 8/12
Make 5/6 equivalent with denominator 18: 6 × 3 = 18, so multiply numerator by 3 too: 5 × 3 = 15 → 15/18
GCF (Greatest Common Factor): The largest number that divides evenly into two numbers; used to simplify fractions
Are 3/4 and 6/8 equivalent?: Yes — 3/4 × (2/2) = 6/8; or simplify 6/8 ÷ 2 = 3/4
Are 2/3 and 3/4 equivalent?: No — 2/3 ≈ 0.667 and 3/4 = 0.75; they represent different amounts
Using a number line to check equivalence: Two fractions are equivalent if they mark the same point on a number line
Benchmark fraction 1/2: Common equivalents: 2/4, 3/6, 4/8, 5/10, 6/12 — all equal one half
Why can't you add to both parts?: Adding breaks the ratio; e.g., 1/2 + 1 = 2/3, but 2/3 ≠ 1/2