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When is written in simplest form it becomes . What is the value of ?

Class 6FractionsFractions
  • A90
  • B45
  • C9
  • D40

Step-by-Step Solution

Going from 2 up to 18 means the numerator was multiplied by 9, so the denominator must be multiplied by 9 too: . Check: with both parts divided by 9 is . The trap is 90 — multiplying 5 by 18 instead of by the scale factor 9.
Answer: B) 45

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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