Yes, it is possible for two fractions greater than 1 with different numerators and denominators to be renamed as the same mixed number. This can happen when the fractions are equivalent, meaning they represent the same value. To determine if two fractions can be renamed as the same mixed number, you need to simplify them to their simplest form and then compare them to see if they are equal.
If the denominators are different, find a common denominator, convert the fractions to equivalent fractions with the same denominator, proceed with adding the numerators, put that total over the denominator, simplify if possible. If the denominators are the same, skip the conversion, proceed with adding the numerators, put that total over the denominator, simplify if possible.
For a _positive_ fraction to be proper and in lowest terms, the numerator must be less than the denominator and be relatively prime. For denominator 1: 0 possible numerators. For denominator 2: 1 possible numerator. For denominator 3: 2 possible numerators. For denominator 4: 2 possible numerators. For denominator 5: 4 possible numerators. For denominator 6: 2 possible numerators. For denominator 7: 6 possible numerators. For denominator 8: 4 possible numerators. For denominator 9: 6 possible numerators. Adding all of them together gives 27 positive proper fractions in lowest terms. Symmetrically, there are 27 negative proper fractions in lowest terms. Also, 0/1 is in lowest terms by the above definition. So in total, there are 55 proper fractions in lowest terms with denominator being an integer from 1 to 9.
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).
9/5 * 5/9 = 1, because 9*5 is 45 and 5*9 is 45, the problem becomes 45/45, which is 1. To multiply fractions: # Simplify the fractions if not in lowest terms. # Multiply the numerators of the fractions to get the new numerator. # Multiply the denominators of the fractions to get the new denominator. Simplify the resulting fraction if possible.
The sum of three fractions with odd numerators can never equal one half because when you add three odd numbers together, the result is always an odd number. Since one half is a fraction with an even numerator, it is not possible to obtain it as the sum of three fractions with odd numerators. This can be proven mathematically by considering the properties of odd and even numbers in fraction addition.
They usually have a denominator of 1 although numerators of 1 are also possible.
If the denominators are different, find a common denominator, convert the fractions to equivalent fractions with the same denominator, proceed with adding the numerators, put that total over the denominator, simplify if possible. If the denominators are the same, skip the conversion, proceed with adding the numerators, put that total over the denominator, simplify if possible.
If the fractions have the same denominator, add and subtract the numerators as if the denominators weren't there and put the result over that denominator. Reduce if possible. If the fractions have different denominators, find the LCM of the denominators and convert the fractions to equivalent fractions with like denominators. Then add and subtract the numerators as if the denominators weren't there and put the result over that denominator. Reduce if possible.
For a _positive_ fraction to be proper and in lowest terms, the numerator must be less than the denominator and be relatively prime. For denominator 1: 0 possible numerators. For denominator 2: 1 possible numerator. For denominator 3: 2 possible numerators. For denominator 4: 2 possible numerators. For denominator 5: 4 possible numerators. For denominator 6: 2 possible numerators. For denominator 7: 6 possible numerators. For denominator 8: 4 possible numerators. For denominator 9: 6 possible numerators. Adding all of them together gives 27 positive proper fractions in lowest terms. Symmetrically, there are 27 negative proper fractions in lowest terms. Also, 0/1 is in lowest terms by the above definition. So in total, there are 55 proper fractions in lowest terms with denominator being an integer from 1 to 9.
Find a common denominator, add the numerators, simplify if possible.
There are infinitely many possible answers, corresponding to the infinitely many possible numerators.
There are infinitely many possible answers corresponding to the infinitely many possible numerators.
First, change it so that the two fractions have the same denominator (by changing the fractions into equivalent fractions). Once the two fractions have the same denominator, it is simply a case of subtracting the numerators, leaving the denominator the same. Finally, reduce the fraction to its lowest terms (if possible).
They usually have a denominator of 1 although numerators of 1 are also possible.
Adding dissimilar fractions involves finding a common denominator for the fractions before adding them together. This common denominator is the least common multiple of the denominators of the fractions being added. Once the fractions have the same denominator, you can add the numerators together while keeping the denominator the same. Finally, simplify the resulting fraction if possible by reducing it to its simplest form.
follow these steps: first find a common denominator Next,add the numerators DO NOT ADD THE DENOMINATORS reduce if possible
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).