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Does adding the same nonzero number to the numerator and denominator of a fraction produce an equivalent fraction?
Wiki User
∙ 10y ago
No because the numerator and the denominator must be multiplied or divided by the same number for a given equivalent fraction
Wiki User
∙ 10y ago
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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.
Does adding the same nonzero number to the numerator and denominator of a fraction produces and equivalent fractions?
No, multiplying does. 2/4 does not equal 4/6 2/4 equals 4/8
If you multiply or divide the numerator and denominator of a ratio by the same nonzero number you get a?
Equal ratio
Why the definition of a fraction restricts the denominator to being a nonzero integer?
Because division by zero is not defined and if the denominator were zero, we would be dividing by zero.
What kind of number that cannot be written with an integer numerator and nonzero integer denominator called in math?
This kind of number is called "irrational", meaning (to a mathematician!) "not a ratio."
What is equivalent to seven ninths?
Multiply numerator and denominator by the same number - any nonzero number - and you get an equivalent fraction.There are infinite answers, but here are a few:14/18, 21/27, 32/36
What is a nonzero fraction?
Any fraction that has a zero as the numerator equals zero. Any fraction that does not have a zero in the numerator would be a nonzero fraction.
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.
Does adding the same nonzero number to the numerator and denominator of a fraction produces and equivalent fractions?
No, multiplying does. 2/4 does not equal 4/6 2/4 equals 4/8
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
If you multiply or divide the numerator and denominator of a ratio by the same nonzero number you get a?
Equal ratio
Why is multiplying or dividing the numerator and denominator by the same nonzero number the same as muiplying o viding the fraction by 1?
Because the ratio between the two numbers is not changed when you multiply both by the same non-zero number.
Why the definition of a fraction restricts the denominator to being a nonzero integer?
Because division by zero is not defined and if the denominator were zero, we would be dividing by zero.
Why are natural numbers rational numbers?
Natural numbers are a special kind of Rational numbers. Rational numbers can be expressed as a fraction. (Positive) fractions with the same (nonzero) numerator and denominator are natural numbers, for example 9/9 = 1.
What kind of number that cannot be written with an integer numerator and nonzero integer denominator called in math?
This kind of number is called "irrational", meaning (to a mathematician!) "not a ratio."
Definition for like denominator?
Like denominator is the same denominator as the nonzero numbers.
Is the ratio of two natural numbers always a positive?
No.Natural numbers by definition are whole: integers. However, if the numerator cannot be divided evenly by the denominator, or even if the numerator is less than the denominator, then it is impossible for such a ratio to result in an integer. Such ratios cannot simplify into natural numbers. (Note: This assumes that 0 is not a natural number--there is a disagreement over its membership. If 0 is considered a natural number, than any ratio with a 0 in the numerator but anything else in the denominator results in 0. A ratio with a nonzero numerator and a zero denominator is undefined. A 0/0 ratio is considered an indeterminate form and goes into calculus).
