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Grade 5 Math Fraction Basic Property Expansion/Reduction Multiple Question
Mathematics
Grade 5 (Primary School)
Question Content
If the numerator (denominator) of a fraction is expanded or reduced by several times, to keep the size of the fraction unchanged, the denominator (numerator) should be expanded or reduced by the (______) multiple.
Correct Answer
same
Detailed Solution Steps
1
Recall the basic property of fractions: to keep the value of a fraction unchanged, the numerator and denominator must be expanded or reduced by the same multiple.
2
For example, if the numerator of 1/2 is doubled (×2) to get 2, the denominator must also be doubled (×2) to get 4, and 2/4 is still equal to 1/2.
3
Conclusion: the answer is 'same'.
Knowledge Points Involved
1
Basic Property of Fractions (Expansion/Reduction)
When the numerator (or denominator) of a fraction is expanded or reduced by a certain multiple, the denominator (or numerator) must be expanded or reduced by the same multiple to maintain the value of the fraction. This ensures the generation of equivalent fractions.
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