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So far, Celine has learned 37\frac{3}{7} of her spelling words. Her sister Erin has learned 18\frac{1}{8} of her spelling words. Who has learned a greater fraction of her spelling words, Celine or Erin?\newlineChoices:\newline(A)Celine\newline(B)Erin

Full solution

Q. So far, Celine has learned 37\frac{3}{7} of her spelling words. Her sister Erin has learned 18\frac{1}{8} of her spelling words. Who has learned a greater fraction of her spelling words, Celine or Erin?\newlineChoices:\newline(A)Celine\newline(B)Erin
  1. Identify fractions: Step 11: Identify the fractions to compare.\newlineCeline learned 37\frac{3}{7} of her words.\newlineErin learned 18\frac{1}{8} of her words.
  2. Find common denominator: Step 22: Compare the fractions by finding a common denominator.\newlineCommon denominator for 77 and 88 is 5656.\newlineConvert 37\frac{3}{7} to a fraction with denominator 5656: (3×8)/(7×8)=2456(3 \times 8) / (7 \times 8) = \frac{24}{56}.\newlineConvert 18\frac{1}{8} to a fraction with denominator 5656: (1×7)/(8×7)=756(1 \times 7) / (8 \times 7) = \frac{7}{56}.
  3. Compare fractions: Step 33: Compare the new fractions. 2456\frac{24}{56} is greater than 756\frac{7}{56}. So, Celine has learned a greater fraction of her spelling words than Erin.

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