Fractions — Flashcards

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It is a proper fraction because the numerator (3) is less than the denominator (7). Proper fractions are always less than 1.

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Step 1: Divide 17 by 4 → Quotient = 4, Remainder = 1<br>Step 2: Write as $4\frac{1}{4}$<br>Answer: $4\frac{1}{4}$…

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Step 1: Multiply whole number by denominator → $3 \times 5 = 15$<br>Step 2: Add numerator → $15 + 2 = 17$<br>Step 3: Write over denominator → $\frac{17}{5}$<br>Answer: $\frac{17}{5}$…

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Yes, they are equivalent.<br>Method: Cross-multiply → $2 \times 6 = 12$, $3 \times 4 = 12$<br>Since both products are equal, the fractions are equivalent.<br>Also, $\frac{4}{6} = \frac{4 \div 2}{6 \di…

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Step 1: Find HCF of 18 and 24 → HCF = 6<br>Step 2: Divide numerator and denominator by 6 → $\frac{18 \div 6}{24 \div 6} = \frac{3}{4}$<br>Answer: $\frac{3}{4}$…

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Since denominators are same, compare numerators.<br>5 > 3, so $\frac{5}{8} > \frac{3}{8}$<br>Answer: $\frac{5}{8}$ is greater…

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Numerators are same, so compare denominators.<br>Greater denominator means smaller fraction.<br>9 > 7, so $\frac{4}{9} < \frac{4}{7}$<br>Answer: $\frac{4}{9}$ is smaller…

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Step 1: Find LCM of denominators 3 and 4 → LCM = 12<br>Step 2: Convert fractions → $\frac{2}{3} = \frac{8}{12}$, $\frac{3}{4} = \frac{9}{12}$<br>Step 3: Compare → $\frac{9}{12} > \frac{8}{12}$<br>Answ…