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John added the numerators of several fractions with unlike denominators what should john have done first?
Wiki User
∙ 13y ago
John has to show the common denominator.
Wiki User
∙ 13y ago
Alina Shannon
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How do you subtract two fractions with unlike denominators?
Make them into equivalent fractions with the same denominator, then the numerators can be subtracted and the resultant fraction simplified (if possible).The first choice is the denominator for the equivalent fractions. Ideally this should be the lowest common multiple (LCM) of the given denominators, but just multiplying the two given denominators together will do.The fractions can then be made into equivalent fractions with this chosen denominator.If finding the LCM is too difficult, a simple "butterfly" (or "cross multiply") method can be used:multiply the numerator of the first fraction by the denominator of the second fraction as the numerator of the equivalent first fraction;multiply the denominator of the first fraction by the numerator of the second fraction as the numerator of the equivalent second fraction;multiply the denominators together as the denominator of both of the equivalent fractions;subtract the new numerators, keeping the new denominator;simplify the result if possible.eg 3/5 - 1/2 = 3x2/5x2 - 5x1/5x2= 6/10 - 5/10= 1/10eg 5/6 - 1/2 = 5x2/6x2 - 6x1/6x2= 10/12 - 6/12= 4/12= 1x4/3x4= 1/3The same method is used for addition of fractions with different denominators: add instead of subtract the numerators of the equivalent fractions.
What is the first thing you should look for when adding or subtracting fractions or mixed numbers?
common denominators.
Do you add the denominators when i add fractions?
No.And you should not add them either.No.And you should not add them either.No.And you should not add them either.No.And you should not add them either.
How is adding rational numbers different than adding whole numbers?
Whole numbers are rational numbers with a denominator of 1. The difference with general rational numbers is that the denominators are likely to be different and they must be made the same by converting the fractions into equivalent fractions with the same denominator before the addition can be done - by adding the numerators and keeping the denominator, and simplifying (if possible) the result. With whole numbers the denominators are already the same (as 1) and so the addition can be done straight away.
How do you plus a mixed fraction?
1. to add a mixed fraction you must first turn all the mixed fractions into improper fractions. 2. ex-2 and 2/3 = 8/3 3. (you multiply the big number by the denominator and then add that number to the numerator......the number you have now is the new numerator and the denominator stays the same) 4. Then you have to make the denominators the same. You do this by multiplying whole numbers to the entire fraction until the denominators are the same. 5. When the denominators are the same.... to add all you do is add the numerators (don't add the denominators!). 6. Your answer should be a new numerator over the old denominator. 7. If your answer is an improper fraction turn it back into a mixed number (by dividing the denominator into the numerator). 8. ex- 8/3......3 goes into 8 2 times......leaving 2(because 8 - 6 = 2)......then put the two over the old denominator :3......egualing 2 and 2/3. 9. Hope this helped.
In solving a fraction equation John added the numerators of several fractions with unlike denominators. What should John have done first?
John should have first found the lowest common denominator of the given fractions.
What is the process should follow when multiplying fractions?
Multiply the numerators to get the numerator, and multiply the denominators to get the denominator. So for example, 1/2 * 3/4 = (1 * 3)/(2 * 4) = 3/8.
How do you subtract two fractions with unlike denominators?
Make them into equivalent fractions with the same denominator, then the numerators can be subtracted and the resultant fraction simplified (if possible).The first choice is the denominator for the equivalent fractions. Ideally this should be the lowest common multiple (LCM) of the given denominators, but just multiplying the two given denominators together will do.The fractions can then be made into equivalent fractions with this chosen denominator.If finding the LCM is too difficult, a simple "butterfly" (or "cross multiply") method can be used:multiply the numerator of the first fraction by the denominator of the second fraction as the numerator of the equivalent first fraction;multiply the denominator of the first fraction by the numerator of the second fraction as the numerator of the equivalent second fraction;multiply the denominators together as the denominator of both of the equivalent fractions;subtract the new numerators, keeping the new denominator;simplify the result if possible.eg 3/5 - 1/2 = 3x2/5x2 - 5x1/5x2= 6/10 - 5/10= 1/10eg 5/6 - 1/2 = 5x2/6x2 - 6x1/6x2= 10/12 - 6/12= 4/12= 1x4/3x4= 1/3The same method is used for addition of fractions with different denominators: add instead of subtract the numerators of the equivalent fractions.
When adding or subtracting fractions what should you do first?
For adding or substracting fractions first of all we should calculate the LCM( Lowest Common Multiplier) of the denominators in both of the fractions.
If all of the coefficient and constants in an equation are fractions what should your first step be?
To eradicate the denominators.
What is the first thing you should look for when adding or subtracting fractions or mixed numbers?
common denominators.
Do you add the denominators when i add fractions?
No.And you should not add them either.No.And you should not add them either.No.And you should not add them either.No.And you should not add them either.
How is adding rational numbers different than adding whole numbers?
Whole numbers are rational numbers with a denominator of 1. The difference with general rational numbers is that the denominators are likely to be different and they must be made the same by converting the fractions into equivalent fractions with the same denominator before the addition can be done - by adding the numerators and keeping the denominator, and simplifying (if possible) the result. With whole numbers the denominators are already the same (as 1) and so the addition can be done straight away.
Why should you have common denominator when you add two fractions together?
When you have a common denominator, the 2 fractions can be added by simply adding the numerators togethr and keeping the denominator. It might be harder to visualise this process without first getting a common denominator, thus having it might allow you to have a more accurate answer.
How do you subtract dissimilar fraction?
You make the denominators the same, by multiplying the fractions by the denominator of the other fraction. Then you can subtract them. For example, 4/5 - 7/8. Make the denominators the same by multiplying "4/5" by 8/8*, which gives 32/40. Multiply "7/8" by 5/5*, which gives 35/40. Denominators are now the same, so subtract: 32/40 - 35/40 = -3/40. * 8/8 and 5/5 are each equal to 1, so you aren't changing the value of the fraction. Sometimes it makes the calculation easier to find the lowest common denominator (LCD) first: 7/24 - 5/36 = ? The LCD is 72 ... it's the smallest number that both 24 and 36 go into evenly. 24x3 = 72, and 36x2 = 72, so: 7/24 x 3/3 - 5/36 x2/2 = 21/72 - 10/72 = 11/72.
How do you plus a mixed fraction?
1. to add a mixed fraction you must first turn all the mixed fractions into improper fractions. 2. ex-2 and 2/3 = 8/3 3. (you multiply the big number by the denominator and then add that number to the numerator......the number you have now is the new numerator and the denominator stays the same) 4. Then you have to make the denominators the same. You do this by multiplying whole numbers to the entire fraction until the denominators are the same. 5. When the denominators are the same.... to add all you do is add the numerators (don't add the denominators!). 6. Your answer should be a new numerator over the old denominator. 7. If your answer is an improper fraction turn it back into a mixed number (by dividing the denominator into the numerator). 8. ex- 8/3......3 goes into 8 2 times......leaving 2(because 8 - 6 = 2)......then put the two over the old denominator :3......egualing 2 and 2/3. 9. Hope this helped.
When asked to find the sum of two mixed numbers with different denominators you should before you add?
Convert the fractions into equivalent fractions with the same denominator. In actually adding mixed numbers, it is easier to convert the mixed numbers into improper (top heavy) fractions, do the addition, simplify the resulting fraction and convert any resulting improper fraction back into a mixed number.
