Question

Which of these fractions is greater than 2 but less than 3?
A 2⁄3 B 3⁄2
C 5⁄2 D 5⁄3

Answer 1

Answer:

C 5/2

Step-by-step explanation:

2/3=0.6667

3/2=1.5

5/2= 2.5

5/3=1.6667

Answer 2

Final Answer:

Among the fractions $\frac{2}{3},\frac{3}{2},\frac{5}{2},\frac{5}{3}$, the fraction that is greater than 2 but less than 3 is $\frac{5}{2}$, and the corresponding option is C.

Given:

These options are for the fraction greater than 2 but less than 3.

A $\frac{2}{3}$

B $\frac{3}{2}$

C $\frac{5}{2}$

D $\frac{5}{3}$

To Find:

Among the fractions $\frac{2}{3},\frac{3}{2},\frac{5}{2},\frac{5}{3}$, the fraction that is greater than 2 but less than 3, and the corresponding option.

Explanation:

Note the following points essential to arrive at the solution to the present problem.

• A fraction is represented as the numerator upon the denominator.
• The fractions can be calculated to their equivalent decimal numbers by dividing the denominator by the numerator.

Step 1 of 2

The equivalent decimal numbers of the fractions $\frac{2}{3},\frac{3}{2},\frac{5}{2},\frac{5}{3}$, are

$\frac{2}{3}=0.667,\\\frac{3}{2}=1.50,\\\frac{5}{2}=2.50,\\\frac{5}{3}=1.667$

Step 2 of 2

Since, The equivalent decimal numbers of the fractions $\frac{2}{3},\frac{3}{2},\frac{5}{2},\frac{5}{3}$, reveal that the fraction that is greater than 2 but less than 3 is $\frac{5}{2}$;

The corresponding correct option is C.

Therefore, the required fraction that is greater than 2 but less than 3 is among the fractions $\frac{2}{3},\frac{3}{2},\frac{5}{2},\frac{5}{3}$, is $\frac{5}{2}$, and the corresponding option is C.

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