Without multiplying order the following products from least to greatest: 2 x 3/5, 1/4 × 3/5, 1 2/5 × 3/5,6/6 × 3/5
I don’t get it either how are you supposed to put it in order without multiplying
To order the products from least to greatest without multiplying, we can compare the fractions by finding a common denominator. Here are the steps to compare and order the products:
Step 1: Find the common denominator:
To compare fractions, we need to express them with a common denominator. Let's find the least common multiple (LCM) of the denominators, which in this case is 20.
Step 2: Convert the fractions to have the common denominator:
Now, let's convert each fraction to have a denominator of 20.
2 x 3/5 = (2 x 3) / (5) = 6/5 converted to have a denominator of 20 = (6 x 4) / (5 x 4) = 24/20
1/4 x 3/5 = (1 x 3) / (4 x 5) = 3/20
1 2/5 x 3/5 = (1 x 5 + 2) / 5 x 3 / 5 = 7/5 converted to have a denominator of 20 = (7 x 4) / (5 x 4) = 28/20
6/6 x 3/5 = (6 x 3) / (6 x 5) = 18/30 converted to have a denominator of 20 = (18 x 2) / (30 x 2) = 36/40
Step 3: Compare and order the fractions:
Now that all fractions have a common denominator, we can compare them:
3/20 < 24/20 < 28/20 < 36/40
Therefore, from least to greatest, the ordered products are as follows:
1/4 x 3/5, 2 x 3/5, 1 2/5 x 3/5, 6/6 x 3/5