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Why is multiplying or dividing the numereator snd denominator by the same nonzero number the same as multiplyingor dividing the fraction by 1?
Wiki User
∙ 12y ago
It is the same because in each scenario you are not changing the value.
An example:
Take the fraction 2/5. Let's multiply top and bottom by 3. We get 6/15.
As we have multiplied both top and bottom by the same amount we have not changed the value of the fraction (because the proportion between the two numbers is identical).
2/5 is equal to 6/15. In this case both are equal to 0.4. The same principle applies for division.
Likewise, dividing or multiplying something by 1 does not change the value. 0.4 * 1 = 0.4/1 = 0.4.
Wiki User
∙ 12y ago
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Why is multiplying or dividing the numerator and the denominator by the same number the same as multiplying or dividing the fraction by 1?
Because multiplying or dividing them by the same NON-ZERO number does not alter their ratio.
Why do you have to switch the numerator and denominator when dividing fractions?
This is because dividing by a number is the same as multiplying by its reciprocal.
Why is multiplying or dividing the numerator and denominator by the same nonzero number the same as multiplying or dividing the fraction the fraction by 1?
Because doing so is equivalent to multiplying or dividing by x/x, which can be cancelled down to 1.
Why is there no common denominator when multiplying or dividing fractions?
Because it is not how multiplication or division are defined.
What is the definition of dividing a fraction?
Dividing a friction is multiplying by its reciprocal. The reciprocal of a fraction is the numerator and the denominator switched around.
Do you need a common denominator for dividing and multiplying fractions?
No you do not.
Why is multiplying or dividing the numerator and the denominator by the same number the same as multiplying or dividing the fraction by 1?
Because multiplying or dividing them by the same NON-ZERO number does not alter their ratio.
Why do you have to switch the numerator and denominator when dividing fractions?
This is because dividing by a number is the same as multiplying by its reciprocal.
Why is multiplying or dividing the numerator and denominator by the same nonzero number the same as multiplying or dividing the fraction the fraction by 1?
Because doing so is equivalent to multiplying or dividing by x/x, which can be cancelled down to 1.
Why is multiplying or dividing the numerator and denominator by the same nonzero number the same as multiplying or dividing the fraction by 1?
because of mathematical equivalence: it doesn't change the result
Why is there no common denominator when multiplying or dividing fractions?
Because it is not how multiplication or division are defined.
What is the definition of dividing a fraction?
Dividing a friction is multiplying by its reciprocal. The reciprocal of a fraction is the numerator and the denominator switched around.
How do you find common denominators with dividing fractions?
When you're dividing fractions ... or multiplying thrm ... they don't need to have the same denominator.
How do you change 123.456 into a fraction?
123.456 is changed into fraction by multiplying and dividing it by a number such that both denominator and numerator don't contain decimal. Multiplying and dividing by 100, we get 123.456 as 123456/100.
Do you need a common denominator when adding subtracting multiplying or dividing?
only when adding and subtracting
When dividing fractions is a reciprocal used by multiplying?
Yes. One method for dividing fractions is to multiply the numerator fraction by the reciprocal of the denominator fraction.
What is the inverse operation of multiplying by 2?
The inverse of multiplying is dividing, so dividing by 2.
