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For Example if the problem is 3/8 + 9/10 = ?
First you would find the least common multiple of each denominator. In this case it would be 80. And you would multiply the denominator and the numerator with the number that equals 80, but you don't have to have the numerator the same answer. So:
3/8 X 10/10 = 30/80
Then you do the other side:
9/10 X 8/8 = 72/80
Now you would just work out the problem:
30/80 + 72/80 = 102/80
Then you would divide the numerator and denominator:
102/80 = 1 11/40
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How would you use the multiplication rule to find common denominators?
multiply the nominator and denominator of each fraction by the denominator of the other fraction
How do we add rational expressions when the denominators are not the same?
Find a common denominator, which can always be accomplished by multiplying the two denominators together. Then convert each original fraction to the new denominator by multiplying both numerator and denominator by a number that will make the denominator of each fraction the same, then add the converted numerators and express the sum as a new fraction with the sum of the converted numerators divided by the common denominator. For example, a/b + c/d = (da + bc)/bd.
How do you name two equivalent fractions for each fraction?
Multiply the numerator (top) and the denominator (bottom) of the fraction by any non-zero integer or a common factor. You will have an equivalent fraction.
How do you put different fractions in increasing order?
Option 1: Find a common denominator for the two fractions. It need not be the least common denominator; for example, for two fractions, if you just multiply the two denominators, you get a common denominator. Convert all the fractions to the common denominator. Then you can compare. Option 2: Convert each fraction to decimal, by dividing the numerator by the denominator. Then you can compare the decimals.
Can a fraction with an even numerator and denominator be in the simplest form?
Yes, a fraction with an even numerator and denominator can be in simplest form if the numerator and denominator have a greatest common divisor (GCD) of 1. If the GCD is greater than 1, the fraction can be simplified further. For example, the fraction 4/6 has an even numerator and denominator, but it can be simplified to 2/3 since the GCD of 4 and 6 is 2.
How would you use the multiplication rule to find common denominators?
multiply the nominator and denominator of each fraction by the denominator of the other fraction
How do you see which fraction is bigger?
The normal way to do it is to get a common denominator and compare the numerators. The simplest way is probably to multiply the numerator of each fraction by the denominator of the other fraction.
How do you change a fraction so they have the same denominator?
First, find a common denominator for the two (or more) fractions. Then, for each fraction, multiply numerator and denominator by the same number (different numbers for different fractions, though), to convert to the common denominator.
What is the least common denominator of a list of fraction?
It is the smallest positive integer which is a multiple of the denominators of each fraction.
What do you get after multiplying each side of the partial fraction decomposition form by the least common denominator what do you get?
You get the original fraction.
How do you subtart fractions?
subtract? Find a common denominator (LCD is preferred). Convert each fraction to an equivalent fraction with the LCD. Add numerators, keep LCD as new denominator. Reduce the fraction.
How to change dissimilar fractions to similar fractions?
Note: numerator is the top part of the fraction, denominator is the bottom part. 1) Find a common denominator. It may be the least common denominator, but it need not be; just multiplying the denominators also gives you a common denominator, not necessarily the smallest one. 2) Convert each fraction so that it has this common denominator. This means multiplying numerator and denominator by the same number.
How do we add rational expressions when the denominators are not the same?
Find a common denominator, which can always be accomplished by multiplying the two denominators together. Then convert each original fraction to the new denominator by multiplying both numerator and denominator by a number that will make the denominator of each fraction the same, then add the converted numerators and express the sum as a new fraction with the sum of the converted numerators divided by the common denominator. For example, a/b + c/d = (da + bc)/bd.
What does the common denominator mean?
the bottom number in a fraction. e.g. in 3/6, the common denominator would be 6. in 45/78, it would be 78. the common denominator must be the same in both fractions when adding or subtracting them from/ to each other.
What does write each fraction in the simplest form mean?
To reduce a fraction to its simplest form, find the GCF of the numerator and the denominator and divide them both by it. If the GCF is 1, the fraction is in its simplest form.
If the numerator and denominator of a fraction are prime numbers is the fraction in simplest form and why?
Yes. If the numerator and denominator of a fraction are prime, the fraction is in simplest form. The reason is that each number has only two factors, 1 and the number itself. For that reason, it is not possible for the numerator and denominator to have any factors (other than 1) in common.
How do you rename dissimilar fraction to similar fraction?
Find the least common denominator and convert each fraction to its equivalent. Example: 2/3 and 3/4 The least common denominator of 3 and 4 is 12. 2/3 = 8/12 3/4 = 9/12
