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Examples for LCM and HCF we use in daily life?
LCM is used to find the lowest common denominator in fractions HCF is used to reduce fractions to their simplest terms
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).
Is Least Common Denominator used for subtracting fractions?
Yes.
What is the least common denominator of 15 and 20?
Least common denominator is used for fractions, not integers. Integers can be expressed as fractions, though, by placing them over 1 so if you really meant least common denominator then the answer is 1. If, however, you meant least common multiple, then then answer is 60.
How do you add and subtract fractions?
If the denominators are the same number, add the numerators together and put that total over the original denominator. Reduce if possible. 1/4 + 2/4 = 3/4 3/8 + 3/8 = 6/8 = 3/4 If the denominators are different numbers, it is necessary to find a common denominator. Find the Lowest Common Multiple (LCM) of the denominators (also known as the Lowest Common Denominator, or LCD) and convert the fractions to equivalent fractions with the same denominator. Now that they have the same denominator, proceed as above. 1/4 + 1/6 = 3/12 + 2/12 = 5/12 If you are struggling to find the LCM just multiply the denominators together - it just means that you will likely be working with larger numbers than if you had used the LCM.
