Alana bought 3/8 pound of swiss cheese
And 1/4 pound of American cheese
Which pair of fraction can not be used to find how many pounds of cheese she bought in all?
6/16 and 4/16
9/24and 6/24
24/64and 8/24
15/40and 10/40
I would have used
3/8 and 2/8, but instead they went with 6/16 and 4/16
thank you its so helpful
To determine which pair of fractions cannot be used to find how many pounds of cheese Alana bought in all, we need to use the rule that states fractions can only be added or subtracted if they have the same denominator.
Let's check each pair of fractions:
1) 6/16 and 4/16:
These fractions have the same denominator (16), so they can be added or subtracted.
2) 9/24 and 6/24:
These fractions have the same denominator (24), so they can be added or subtracted.
3) 24/64 and 8/24:
These fractions do not have the same denominator, so they cannot be added or subtracted directly. However, we can simplify 24/64 by dividing both the numerator and the denominator by 8, which gives us 3/8. So, 24/64 and 8/24 can be used to find how many pounds of cheese Alana bought in all.
4) 15/40 and 10/40:
These fractions have the same denominator (40), so they can be added or subtracted.
Therefore, the pair of fractions that cannot be used to find how many pounds of cheese Alana bought in all is 24/64 and 8/24.
To find out which pair of fractions cannot be used to determine the total weight of cheese Alana bought, we need to simplify each fraction and check if they have a common denominator. If the fractions have a different denominator, we won't be able to add them together.
Let's analyze each pair of fractions:
1) 6/16 and 4/16: To simplify, both fractions can be divided by 2. So, 6/16 becomes 3/8, and 4/16 becomes 1/4. Both fractions have the same denominator (16), so we can use them to find the total weight.
2) 9/24 and 6/24: To simplify, both fractions can be divided by 3. So, 9/24 becomes 3/8, and 6/24 becomes 1/4. Both fractions have the same denominator (24), so we can use them to find the total weight.
3) 24/64 and 8/24: To simplify, 24/64 can be divided by 8 to become 3/8. However, 8/24 can be simplified further by dividing both numerator and denominator by 8, resulting in 1/3. These fractions have different denominators (64 and 24), so they cannot be used together to find the total weight.
4) 15/40 and 10/40: Both fractions already share the same denominator (40). We can use them to find the total weight.
Therefore, the pair of fractions that cannot be used to find how many pounds of cheese Alana bought in all is 24/64 and 8/24.