find equivalent fractions with a common denominator and order from least to greatest. Pls. explain. ty
2/3, 1/2, 5/12
What number is evenly divisible by 3, 2, and 12? That's your common denominator.
This site may help you.
http://www.mathsisfun.com/equivalent_fractions.html
To find equivalent fractions with a common denominator and order them from least to greatest, follow these steps:
Step 1: Find the Least Common Denominator (LCD)
The first step is to find a common denominator for the fractions. The LCD is the least common multiple of all the denominators involved. In this case, the denominators are 3, 2, and 12. To find the LCD, list the multiples of each denominator until you find the first common multiple.
Multiples of 3: 3, 6, 9, 12, 15, ...
Multiples of 2: 2, 4, 6, 8, 10, 12, ...
Multiples of 12: 12, 24, 36, ...
From the lists above, we can see that the LCD is 12.
Step 2: Convert the Fractions to Equivalent Fractions with the LCD
To get the fractions with a common denominator of 12, we need to adjust the numerators as well. Multiply both the numerator and denominator of each fraction by a factor that would make the denominator equal to 12.
For 2/3:
Multiply the numerator and denominator by 4 to get (2*4)/(3*4) = 8/12.
For 1/2:
Multiply the numerator and denominator by 6 to get (1*6)/(2*6) = 6/12.
For 5/12:
No adjustment is needed since the denominator is already 12.
The equivalent fractions with a common denominator of 12 are:
2/3 = 8/12
1/2 = 6/12
5/12 (unchanged)
Step 3: Order the Fractions from Least to Greatest
Now that all the fractions have the same denominator of 12, we can compare them easily.
The fractions, from least to greatest, are:
6/12, 8/12, 5/12
So, the ordered fractions would be: 1/2, 2/3, 5/12.
That's it! You have found the equivalent fractions with a common denominator and ordered them from least to greatest.