Using computation, which of the following statements is true?
A. 4 1/2 X 5/4 < 4 1/2
B. 3 5/8 X 9/4 > 3 5/8
C. 5 2/9 X 7/8 > 5 2/9
D. 17/4 X 3/2 < 17/4
To answer this question, we need to compute the value of each expression and compare them.
A. 4 1/2 X 5/4 = (9/2) X (5/4) = (9/2) X (5/2) = 45/4
The value of the expression is 45/4.
B. 3 5/8 X 9/4 = (29/8) X (9/4) = (29/2) X (9/8) = 261/16
The value of the expression is 261/16.
C. 5 2/9 X 7/8 = (47/9) X (7/8) = (47/9) X (7/9) = 329/72
The value of the expression is 329/72.
D. 17/4 X 3/2 = (17/4) X (3/2) = (3/1) X (17/4) = 51/4
The value of the expression is 51/4.
Comparing the values:
A. 45/4 = 11.25
B. 261/16 = 16.31
C. 329/72 = 4.57
D. 51/4 = 12.75
Based on these computations:
A. 4 1/2 X 5/4 < 4 1/2 is false.
B. 3 5/8 X 9/4 > 3 5/8 is true.
C. 5 2/9 X 7/8 > 5 2/9 is false.
D. 17/4 X 3/2 < 17/4 is false.
Therefore, the correct statement is:
B. 3 5/8 X 9/4 > 3 5/8