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Is it always necessary to find the least common denominator to compare the sizes of fractions?
It is not always necessary to find the least common denominator to compare the sizes of fractions. When comparing fractions with the same denominator, you can simply compare the numerators. If the denominators are different, you can find a common denominator by multiplying the denominators together, but it is not always required for comparison. Alternatively, you can convert the fractions to decimals for easier comparison in some cases.
How do you compare 3 or more fractions?
Find the equivalent fractions with the same denominator (the least common multiple) and then compare the numerators.
What is the least common denominator of two fractions?
The least common denominator is the least common multiple of the denominators of the fractions.
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.
How do you use comparing mixed fractions?
Assuming the fractions are "normalized" (the fractional part is less than 1): First compare the integer part. If the integer part is the same, you need to compare the fractions. If the denominator of the fractions is different, you have to convert to a common denominator. The simplest way to find a common denominator is to multiply both denominators (i.e., you don't need the LEAST common denominator - any common denominator will do).
How do you find the greater or least in fractions?
You either convert the fractions to a common denominator, and then compare, or you convert them to their decimal equivalent and then compare. The latter can quickly be done with a calculator.
What is the least common multiple of the denominator of two or more fractions is their?
least common denominator
How do you order fractions with unlike denominators?
You can convert them to equivalent fractions with like denominators, then simply compare the numerators.You might also convert each fraction to a decimal (divide the numerator by the denominator); then you can also compare them.
How do you compare fractions in terms of similar and dissimilar fractions?
You can compare similar fractions by looking at their numerators. You can compare dissimilar fractions by converting them to similar fractions and looking at their numerators. You can convert a dissimilar fraction to a similar fraction by finding the least common denominator.
What is the least common denominator for 3 and 7?
There is none. A least common denominator is to be found between or among fractions. 3 and 7 are not fractions.
Why is it easier to compare fractions with the same rather than denominator?
If the fractions have different denominators, you need to: 1) Convert to equivalent fractions with a common denominator, 2) Compare the numerators. If the fractions already have the same denominator, there is no need for the first step - which happens to be the most difficult step. Note that as a shortcut, you don't need the LEAST common denominator, any denominator can do. Thus, you can just use the product of the two denominators as the common denominator. As a result, to compare the fractions, you simply multiply the numerator of each fraction by the denominator of the other one, and then compare. However, this is still more work than simply comparing two numbers.
Is 3 over 4 or 5 over 8 bigger?
To determine which fraction is larger, we need to find a common denominator. In this case, the least common denominator is 8. When we convert 3/4 to have a denominator of 8, we get 6/8. Comparing 6/8 and 5/8, we can see that 6/8 is larger, so 3/4 is greater than 5/8.
