Which statement is true?
Responses
A The product of 8/3 and 6/5 is greater than 8/3
B The product of 4/5 and 3 is greater than 3.
C The product of 4/5 and 3 is less than 4/5
D The product of 8/3 and 6/5 is less than 6/5
B The product of 4/5 and 3 is greater than 3.
To find out which statement is true, you need to calculate the products mentioned in each statement and compare them.
Let's calculate the products:
A: The product of 8/3 and 6/5 is (8/3) * (6/5) = 48/15.
B: The product of 4/5 and 3 is (4/5) * 3 = 12/5.
C: The product of 4/5 and 3 is (4/5) * 3 = 12/5.
D: The product of 8/3 and 6/5 is (8/3) * (6/5) = 48/15.
Now, let's compare them:
A: The product of 8/3 and 6/5 is greater than 8/3 if 48/15 > 8/3.
B: The product of 4/5 and 3 is greater than 3 if 12/5 > 3.
C: The product of 4/5 and 3 is less than 4/5 if 12/5 < 4/5.
D: The product of 8/3 and 6/5 is less than 6/5 if 48/15 < 6/5.
By comparing the fractions in each statement, we can see that statement C is true. The product of 4/5 and 3 is indeed less than 4/5.
To determine which statement is true, we can compare the products in each option.
A: The product of 8/3 and 6/5 is greater than 8/3.
To find the product of 8/3 and 6/5, we can multiply the numerators and the denominators:
(8/3) * (6/5) = (48/15)
Since (48/15) is greater than (8/3), statement A is true.
B: The product of 4/5 and 3 is greater than 3.
To find the product of 4/5 and 3, we can multiply the numerators and the denominators:
(4/5) * (3) = (12/5)
Since (12/5) is greater than 3, statement B is true.
C: The product of 4/5 and 3 is less than 4/5.
To find the product of 4/5 and 3, we can multiply the numerators and the denominators:
(4/5) * (3) = (12/5)
Since (12/5) is equal to 4/5, statement C is false.
D: The product of 8/3 and 6/5 is less than 6/5.
To find the product of 8/3 and 6/5, we can multiply the numerators and the denominators:
(8/3) * (6/5) = (48/15)
Since (48/15) is equal to 6/5, statement D is false.
Therefore, the correct statement is either A or B.