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.

What is an equivalent fraction to 1/2

Tnx