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Divide both the numerator and the denominator of by 5. Which equivalent fraction do you get?

Class 6FractionsFractions
  • A
  • B
  • C
  • D

Step-by-Step Solution

20 ÷ 5 = 4 and 45 ÷ 5 = 9, so and each come from dividing only one of the two numbers, and comes from subtracting 5 instead of dividing. Change only one part and you change the value of the fraction.
Answer: D)

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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