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On a number line, and are already marked. Which of these fractions would be plotted BETWEEN those two marks?

Class 6FractionsFractions
  • A
  • B
  • C
  • D

Step-by-Step Solution

Compare using twenty-fourths: and . Since 15 < 16 < 21, lands between the two marks. and sit to the LEFT of , and is past 1 altogether.
Answer: A)

Key idea: Comparing fractions

**Same denominator (like fractions)**: just compare the numerators. 5/7 > 3/7 because 5 > 3.

**Same numerator**: the bigger denominator means smaller pieces, so smaller value. 1/4 > 1/8 — the same one piece is bigger when the whole is split into fewer pieces.

**Neither same**: rewrite both with a common denominator (a denominator both fractions can share, often the LCM of the two denominators). Then compare numerators.

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