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why do we multiply the numerators and the denominators in fractions problems

why do we multiply the numerators and the denominators in fractions problems

Math   Algebra   
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Answer #1

If you multiply both the numerator and denominator of a fraction by the same non-zero number, the fraction remains unchanged in value. Therefore, equivalent fractions can be created by multiplying  the numerator and denominator by the same number.For example
X=5/10 on simplify X=1/2
Multiply numerator and denominator by 5
Now,
X=25/50 on simplify X=1/2
So, for getting unchanged value we have to multiply both numerator and denominator by same multiplier.

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