Well, isn't that just a happy little question! To write equivalent fractions with the lowest common denominator, you first find the least common multiple of the denominators. Then, you rewrite each fraction using that common denominator. It's like painting a beautiful landscape - just take your time, follow the steps, and soon you'll have a lovely set of equivalent fractions.
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To write equivalent fractions with the lowest common denominator, you first need to find the least common multiple (LCM) of the denominators of the fractions. Once you have the LCM, you can rewrite each fraction using that common denominator. This ensures that the fractions have the same denominator while maintaining their original values. Remember to simplify the fractions if needed to ensure they are in their lowest terms.
Oh, dude, it's like this: to write equivalent fractions with the lowest common denominator, you just need to find the smallest number that both denominators can divide evenly into. Then, you adjust the fractions by multiplying the numerator and denominator by the same value. It's like a math dance, but with fractions. Easy peasy lemon squeezy!
Example: 2/3 and 3/4
The LCD of 3 and 4 is 12.
Multiply the numerator and the denominator of 2/3 by 4 to make 8/12
Multiply the numerator and the denominator of 3/4 by 3 to make 9/12
(1) Find the least common denominator of two or more fractions, (2) Convert to the common denominator.
To convert to the least common denominator, you have to multiply numerator and denominator of a fraction by the same number.
By finding their lowest common denominator by means of their lowest common multiple
If the fractions do not all have the same denominator, find a common multiple of the denominators (ideally the lowest common multiple) and convert the fractions to equivalent fractions with this denominator. Now with all the fractions with the same denominator, add together the numerators. Finally, reduce the fraction to simplest terms, converting any improper fraction to a mixed number.
Find the lowest common multiple of the denominators and adjust the fractions accordingly
Fractions can only be added or subtracted if the denominators are the same. If the denominators are different, then the fractions need to be made into equivalent fractions with the same denominator. The new denominator can be found simply by multiplying the denominators together, but this can lead to some large fractions with which to work. A better new denominator is the lowest common multiple of (all the) denominators. (Once the new denominator is found, the fractions' new numerators are found by multiplying their current numerator by the new denominator divided by their current denominator to make their equivalent fractions with the new denominator.) Once all the fractions are converted into equivalent fractions with the new denominator then the fractions can be added or subtracted, with the result being simplified (if possible).
The first step in finding the lowest common denominator of two fractions is to multiply the two denominators. Then you see if there are any smaller numbers that are divisible by both denominators.