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Why can you compare 2 fractions with the same denominator by only compare the numerator?
Wiki User
∙ 11y ago
If two fractions have the same [positive] denominator, then the smaller numerator implies the smaller fraction. Furthermore, the ratio of the numerators is the ratio of the fractions.
So, for example, if you have
3/17 and 5/17 then, since 3 < 5, it follows that 3/17 < 5/17
and the two fractions are in the ratio 3:5. That is, the first fraction is 3/5 of the second.
All of the above remains true if you replace 17 by any other positive number (including an irrational number).
Wiki User
∙ 11y ago
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When comparing fractions with the same you only have to compare the?
Numerator, Denominator or Denominator, Numerator.
How do you compare fractions with the same numerator and different denominator?
If the numerators are equal, then here's what the denominator will tell you: The number with the largest denominator will will be the smallest number. For example: Compare 1/3 and 1/4. 1/4 is smaller because it takes 4 of those to make up 1 whole, while it only takes 3 thirds to make a whole. If the numerator is another number, the principal is the same, as long as all fractions have the same numerator.
How is multiplying fractions by a whole number is different from adding adding and subtracting fractions with like denominators?
Adding and subtracting fractions can ONLY be done if the denominators are the same; then the calculation is done by adding or subtracting the numerators. Multiplying (and dividing) fractions does not require the denominators to be the same. To divide by a fraction the divisor is inverted (the original numerator becomes the new denominator and the original denominator becomes the new numerator) and then the fractions are multiplied. Multiplying fractions is achieved by multiplying the numerators together AND multiplying the denominators together. A whole number is the same as a fraction with the whole number as the numerator and a denominator of 1, so when multiplying by a whole number the denominator is multiplied by 1 (leaving it the same) and the is multiplication is effectively just multiplying the numerator by the whole number.
Adding and subtracting unlike denominators?
Fractions can only be added or subtracted if the denominators are the same. If the denominators are different, then the fractions need to be made into equivalent fractions with the same denominator. The new denominator can be found simply by multiplying the denominators together, but this can lead to some large fractions with which to work. A better new denominator is the lowest common multiple of (all the) denominators. (Once the new denominator is found, the fractions' new numerators are found by multiplying their current numerator by the new denominator divided by their current denominator to make their equivalent fractions with the new denominator.) Once all the fractions are converted into equivalent fractions with the new denominator then the fractions can be added or subtracted, with the result being simplified (if possible).
What do you call the form of a fraction in which the only common factor of the numerator and denominator is 1?
A fraction in simplest form is one in which the only common factor of the numerator and denominator is 1.
When comparing fractions with the same you only have to compare the?
Numerator, Denominator or Denominator, Numerator.
What type of fractions can you compare by looking at the numerator?
Only Fractions with a Common Denominator can be directly compared.
What does percent mean when used to make a comparison?
One way to compare two fractions is to convert both to a common denominator. Then the only difference is in the numerator. Comparison of the numerator is then sufficient to compare the fractions. A percentage is equivalent to converting the fractions to a denominator of 100.
Can a denominator that is a prime number be simplified?
Only in improper fractions where the numerator is a multiple of the denominator.
How do you compare fractions with the same numerator and different denominator?
If the numerators are equal, then here's what the denominator will tell you: The number with the largest denominator will will be the smallest number. For example: Compare 1/3 and 1/4. 1/4 is smaller because it takes 4 of those to make up 1 whole, while it only takes 3 thirds to make a whole. If the numerator is another number, the principal is the same, as long as all fractions have the same numerator.
What fractions whose numerator and denominator can both be divided evenly only by 1 is in blank?
simplest form
What are some rules about comparing fractions with the same numerator?
It depends on how you need to compare them. If you want to know which one is larger, just look at the denominator - a smaller denominator means a larger number. If you need to add or subtract them, the only thing you can do is make the denominators equal.
Can eighteen over fifty be simplified as a mixed number?
No. Only when fractions have a numerator bigger that their denominator can they be simplified as a mixed number.
How is multiplying fractions by a whole number is different from adding adding and subtracting fractions with like denominators?
Adding and subtracting fractions can ONLY be done if the denominators are the same; then the calculation is done by adding or subtracting the numerators. Multiplying (and dividing) fractions does not require the denominators to be the same. To divide by a fraction the divisor is inverted (the original numerator becomes the new denominator and the original denominator becomes the new numerator) and then the fractions are multiplied. Multiplying fractions is achieved by multiplying the numerators together AND multiplying the denominators together. A whole number is the same as a fraction with the whole number as the numerator and a denominator of 1, so when multiplying by a whole number the denominator is multiplied by 1 (leaving it the same) and the is multiplication is effectively just multiplying the numerator by the whole number.
What does GCF mean in fractions?
GCF doesn't apply to fractions, only to whole numbers. When those numbers are the numerator and denominator of a fraction, the GCF can be used to reduce it to its simplest form.
Is 4 8 12 bigger than 4 6 9?
You can compare two fractions by dividing numerator / denominator on your calculator. In this case, since the integer part is the same, you only have to divide 8/12, and 6/9.
How do you add and simplify fractions with unlike denominator?
Find a common denominator between the two fractions then work from there like you would normally.1.To do so, You can multiply the denominators. Then multiply the numerator by the last denominator. Then ONLY add or subtract the numerators.simplifying. If the #'s are both even, they can be divided by two. If they aren't, List the factors of the numerator and the denominator. Find the least common factor.(LCM).Then divide the numerator and the denominator by that #.Keep going to get a fraction simplified all the way. Hope this helped!=D
