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math
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∙ 11y ago
Mckinley Cogar
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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 does the method of dividing fractions work?
This is related to the fact that dividing by a number is the same as multiplying with the number's reciprocal.
Could you answer Dividing a number by 2.5 is the same as multiplying a number by what?
it is the same as multiplying by 0.4
Is finding twenty percent of a number the same as dividing the number by 4?
No. By definition, 20% is equal to 0.2. Multiplying a number by 0.2 is not equal to dividing it by four. Finding 25% of a number is equal to dividing that number by 4. Finding 20% of a number is equal to dividing that number by 5.
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.
Is taking ½ of a number is the same as dividing by ½?
No, taking ½ of a number is the same as dividing it by 2. Dividing a number by ½ is the same as multiplying it by 2.
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 does the method of dividing fractions work?
This is related to the fact that dividing by a number is the same as multiplying with the number's reciprocal.
Is taking one half of a number the same as dividing the number by one half?
No. Taking one half of a number is the same as dividing it by 2. If you divide a number by 1/2 that's the same as multiplying it by 2.
Could you answer Dividing a number by 2.5 is the same as multiplying a number by what?
it is the same as multiplying by 0.4
Of a number, the results of dividing one by that number?
the number would stay the same
Is finding twenty percent of a number the same as dividing the number by 4?
No. By definition, 20% is equal to 0.2. Multiplying a number by 0.2 is not equal to dividing it by four. Finding 25% of a number is equal to dividing that number by 4. Finding 20% of a number is equal to dividing that number by 5.
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.
Is taking half of a number is the same as dividing by half?
yes
Why is dividing by a number the same as multiplying by its reciprocal?
That is the definition of reciprocal.
How do you find 0.1 of a number?
It's the same as dividing by 10
Is dividing a number by 2 the same as multiplying it by half?
Yes, it is!:)
