Arrange the following fractions in decending order
2/5
7/10
3/20
Change them all to equivalent fractions with a common denominator.
2/5 = 8/20
7/10 = 14/20
3/20 = 3/20
change them all to same base
8/20
14/20
3/20
now arrange them
To arrange fractions in descending order, you need to compare their values and place them in order from largest to smallest.
To do this, you can either convert all the fractions to a common denominator or find a common numerator:
Method 1: Find a common denominator
Step 1: Find the least common multiple (LCM) of the denominators 5, 10, and 20, which is 20.
Step 2: Convert each fraction to have a denominator of 20:
2/5 = 8/20
7/10 = 14/20
3/20 = 3/20 (already in the desired denominator)
Step 3: Arrange the fractions in descending order:
14/20 > 8/20 > 3/20
Method 2: Find a common numerator
Step 1: Find a common numerator for all the fractions. In this case, you can see that the numerator 2 is the smallest common numerator among all fractions.
Step 2: Divide each fraction by its numerator and arrange them in descending order based on the resulting values:
2/5 = 0.4
7/10 = 0.7
3/20 = 0.15
Arranging these decimals in descending order, you get:
0.7 > 0.4 > 0.15
So, the fractions in descending order are:
7/10, 2/5, 3/20