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On a number line, one mark is at and another is at . What is the distance between the two marks, in simplest form?

Class 6FractionsFractions
  • A
  • B
  • C
  • D

Step-by-Step Solution

Distance = , and dividing top and bottom by 2 gives comes from changing the denominator as well — with like fractions the denominator stays 10 — and comes from adding the two marks instead of subtracting.
Answer: C)

Key idea: Mixed numbers and improper fractions

An improper fraction like 11/4 can be rewritten as a mixed number. Divide 11 by 4: 11 ÷ 4 = 2 remainder 3. So 11/4 = 2 + 3/4 = 2 3/4. Going the other way: 2 . Both forms name the same number — you choose the one that's easier for the situation. For arithmetic, improper fractions are usually friendlier; for everyday speech, mixed numbers are.

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