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In order to add and subtract fractions with unlike denominators, it is necessary to convert them to equivalent fractions with a common denominator.

Example: 1/4 + 1/6

The LCM of 4 and 6 is 12.

1/4 = 3/12

1/6 = 2/12

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8y ago
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8y ago

That is one way in which to prepare fractions for addition or subtraction.

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Q: Equivalent fractions using least common denominator?
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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 compare 3 or more fractions?

Find the equivalent fractions with the same denominator (the least common multiple) and then compare the numerators.


How are equivalent fractions used when subtracting unlike fractions?

First you find a common multiple of the denominators. The least common denominator is handy but not essential. This number will be the denominator of the answer - before simplification.For both fractions find an equivalent fraction whose denominator is this common denominator.Carry out the subtraction on the new numerators to give the numerator of the answer.Simplify the result for the final, simplified answer.First you find a common multiple of the denominators. The least common denominator is handy but not essential. This number will be the denominator of the answer - before simplification.For both fractions find an equivalent fraction whose denominator is this common denominator.Carry out the subtraction on the new numerators to give the numerator of the answer.Simplify the result for the final, simplified answer.First you find a common multiple of the denominators. The least common denominator is handy but not essential. This number will be the denominator of the answer - before simplification.For both fractions find an equivalent fraction whose denominator is this common denominator.Carry out the subtraction on the new numerators to give the numerator of the answer.Simplify the result for the final, simplified answer.First you find a common multiple of the denominators. The least common denominator is handy but not essential. This number will be the denominator of the answer - before simplification.For both fractions find an equivalent fraction whose denominator is this common denominator.Carry out the subtraction on the new numerators to give the numerator of the answer.Simplify the result for the final, simplified answer.


What Is least common multiple of the denominators of two or more fractions?

That's the least common denominator.


How do you use prime factorization to subtract fractions in math?

Finding the prime factorizations of the denominators will help you find the least common denominator. Converting to equivalent fractions with like denominators will allow you to subtract them successfully.

Related questions

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 find equivalent fractions with a common denominator and order from least to greatest?

to make your denominator common you have to times a number that equals the same


What is the least common multiple of the denominator of two or more fractions is their?

least common denominator


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.


How do you find equivalent fractions with a common denominator?

You dont really, well at least in my years of knowledge


What is the difference between a least common multiple and a least common denominator?

The Least (or Lowest) Common Multiple (LCM) is the smallest number that is a multiple of both numbers. For example: the LCM of 10 and 4 is 20, because both 10 and 4 go into 20 and 20 is the smallest number both 10 and 4 can go into. To be able to add or subtract fractions they must have the same denominator. If the denominators are different then the fractions must first be converted into equivalent fractions with a common denominator; any common denominator can be used, but by using the Least Common Multiple of the denominators as the new denominator it keeps the numbers smaller; this smallest denominator is known as the Least Common Denominator Thus the Least Common Denominator is the Least Common Multiple of the denominators of two (or more) fractions (used when adding or subtracting fractions with different denominators). As the Least Common Multiple is used most often with adding or subtracting fractions, it is often referred to as the Least Common Denominator (because the numbers being considered are usually denominators of fractions).


How can equivalent fractions help when adding mixed numbers?

It can help by when finding the LCD (Least Common Denominator) you find the least number they have in common then that number is your equivalent fraction.


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.


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.


What does the term least common denominator mean?

In mathematics, the lowest common denominator or least common denominator (abbreviated LCD) is the least common multiple of the denominators of a set of fractions. It simplifies adding, subtracting, and comparing fractions.


Is it always necessary to find the least common denominator to compare the sizes of fractions?

When comparing fractions you must find a common denominator; by finding the least common denominator it will keep the numbers (numerators and denominator) smaller .


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.