Find the least common denominator (LCD) for fractions with the given denominators
13/15 - 11/20=2/5?
Please show your work.
What is the LCD?
http://www.helpwithfractions.com/least-common-denominator.html
To find the least common denominator (LCD) for fractions with different denominators, you need to determine the smallest multiple that both denominators can divide into evenly.
In this case, the given denominators are 15 and 20. First, list the multiples of each denominator until you find a common multiple:
Multiples of 15: 15, 30, 45, 60, 75, 90, ...
Multiples of 20: 20, 40, 60, 80, 100, ...
From the lists above, you can see that the common multiple is 60. Therefore, the least common denominator for the fractions is 60.
Now that you know the LCD is 60, you can proceed to find the equivalent fractions using this denominator. Multiply the numerator and denominator of each fraction by a factor that will make the denominator equal to 60:
For 13/15:
Multiply numerator and denominator by 4:
(13 * 4) / (15 * 4) = 52/60
For 11/20:
Multiply numerator and denominator by 3:
(11 * 3) / (20 * 3) = 33/60
Now you can subtract the equivalent fractions:
52/60 - 33/60 = (52 - 33) / 60 = 19/60
So no, 2/5 is not equal to the subtraction of the given fractions. The correct result is 19/60.