how to use a common denominator to write an equivalent fraction for each fraction?
well first a typical common denominator example
find a common denominator to compare
1/3 and 2/5
the denominator will have to have a 3 in it and a five in it
In this simple case 3*5 = 15 will work
Now find something over 15 that is the same as 1/3
multiply top and bottom by five
(1*5) /(3*5) = 5/15
Now work on 2/5
multiply top and bottom by 3
(2*3) / (5*3) = 6/15
Now if I wanted to add 1/3 + 2/5
I could add their equivalents with the common denominator of 15
1/3 + 2/5 = 5/15 + 6/15 = 11/15
good
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To use a common denominator to write an equivalent fraction for each fraction, you must first understand what a common denominator is.
A common-denominator fraction is a fraction that has the same denominator as another fraction. This allows for easier comparison and mathematical operations between fractions. Here are the steps to use a common denominator to write an equivalent fraction:
1. Determine the denominators of the fractions you want to work with. Let's say we have two fractions: 2/3 and 1/4.
2. Find the least common multiple (LCM) of the denominators. In this case, the LCM of 3 and 4 is 12.
3. Modify each fraction by multiplying both the numerator and the denominator by the appropriate factor to get the desired denominator, which is the LCM.
For the first fraction, 2/3, the desired denominator is 12, so we multiply both the numerator and denominator by 4 to get 8/12.
For the second fraction, 1/4, the desired denominator is also 12, so we multiply both the numerator and denominator by 3 to get 3/12.
Now, both fractions have the same denominator (12) and are considered equivalent fractions. In this case, 2/3 is equivalent to 8/12, and 1/4 is equivalent to 3/12.
Remember, it is essential to find the least common multiple (LCM) of the denominators and then adjust each fraction accordingly by multiplying both numerator and denominator by the appropriate factor.