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How can you add two fractions with denominators of 10 and end up with a sum whose denominator is 5?
Wiki User
∙ 14y ago
A fraction with denominator 10 must have an odd numerator for otherwise its numerator and denominator would have 2 as a common factor and it would be simplified so that it would no longer have 10 as a denominator.
So you are adding two odd numerators, both with 10 as the denominator.
The sum of two odds is always even, so the result will be an even sum with 10 as the denominator. So in the answer, 2 is a common factor of the numerator and denominator and the answer can be simplified. If there is no other common factor, then the answer must have a denominator of 5.
Wiki User
∙ 14y ago
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How do you add and subtract by fractions?
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.
Does adding numerators and denominators work in fraction addition?
To add fractions, you cannot simply add the numberators and add the denominators. To add fractions, they must first have the same denominator. Once they have the same denominator, you can then simply add the numerators.
How do you add fractions step by step?
you make fractions equivalent denominators, you add the numerators and put it over the denominator
How do you add two fractions with the same denominator?
numerators you add, denominators you leave it the same
When adding fractions with unlike denominators it is most helpful if the fractions are renamed using the?
If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with a common denominator.
How do you add and subtract by fractions?
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.
How is adding like fractions and adding unlike fractions the same?
If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with a common denominator. Then add and simplify.
Does adding numerators and denominators work in fraction addition?
To add fractions, you cannot simply add the numberators and add the denominators. To add fractions, they must first have the same denominator. Once they have the same denominator, you can then simply add the numerators.
Adding unlike fractions?
If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with a common denominator. Then add and simplify.
When you add fractions do you have to find a common denominator?
Only if the denominators are different.
How do you add fractions step by step?
you make fractions equivalent denominators, you add the numerators and put it over the denominator
How do you add two fractions with the same denominator?
numerators you add, denominators you leave it the same
When adding fractions with unlike denominators it is most helpful if the fractions are renamed using the?
If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with a common denominator.
When do you add fractions when baking?
In order to add fractions, they must have the same denominators. If the fractions you wish to add do not already have the same denominators, they can be made to do so by finding the right number by which to multiply both the numerator and the denominator of each fraction. To find this number, multiply all the distinct denominators together, then multiply both the numerator and denominator of each fraction by a number found by the dividing the product of the distinct denominators by the denominator of the particular fraction concerned. All the fractions will then have the same denominator. Add the numerators of such fractions together to find the numerator of the sum; its denominator will be the one common to all the fractions.
Why do you need a common denominator?
Common Denominator means that the denominators in two (or more) fractions are common, or the same. The common denominator is important because before you can add or subtract fractions, the fractions need to have a common denominator.Sometimes fractions have different denominators, like 2/3 and 3/4. If you want to add or subtract them, they need to have the same denominator. In order to do that, you find a common denominator which is the same thing as a common multiple, only with denominators.
Why when adding do you not add the numerator or the denominator?
Do not add the denominators together. Though keep in mind that both denominators must be the same to add to fractions together.
How to add fractions having similar numerators but different denominators?
The first step, to add, subtract, or compare fractions, is always to convert the fractions to equivalent fractions, that all have the same denominator. You can use one of several techniques to get the LEAST common denominator, or simply multiply the two denominators to get a common denominator (which in this case may, or may not, be the smallest common denominator).
