Which of the following expressions represents a number greater than 1? (choose 2)
Responses
A 2/3×5
B 1/3÷2/5
C 5/3×1/8
D 3/4×2/3
E 2/3÷2/5
The expressions that represent numbers greater than 1 are:
A) 2/3×5, since 2/3 multiplied by 5 gives a result greater than 1.
D) 3/4×2/3, since 3/4 multiplied by 2/3 gives a result greater than 1.
To determine which of the expressions represent a number greater than 1, we need to evaluate each expression.
Expression A: 2/3 × 5 = 10/3, which is greater than 1.
Expression B: 1/3 ÷ 2/5 is equivalent to 1/3 × 5/2 = 5/6, which is less than 1.
Expression C: 5/3 × 1/8 is equivalent to 5/24, which is less than 1.
Expression D: 3/4 × 2/3 is equivalent to 6/12, which simplifies to 1/2, and is less than 1.
Expression E: 2/3 ÷ 2/5 is equivalent to 2/3 × 5/2 = 10/6, which simplifies to 5/3, and is greater than 1.
Therefore, the expressions that represent a number greater than 1 are A and E.