1

Problem

Identify the small fraction number given below:
\$(33)/(27), (25)/(14), (44)/(29)\$.

2

Step

Given fraction numbers are

\$(33)/(27), (25)/(14), (44)/(29)\$

3

Hint

First, we can convert fractions to have a common denominator.

4

Step

The least common multiple of 27,14 and 29 is:

13506

5

Step

For \$ (33)/(27)\$ multiply both the numerator and denominator by 502.

\$ (33 \times 502) / (27 \times 502) = (16566) / (13506) \$

6

Step

For \$(25)/(14) \$ multiply both the numerator and denominator by 963.

\$ (25 \times 963) / (14 \times 963) = (24075) / (13506) \$

7

Step

For \$ (44)/(29) \$ multiply both the numerator and denominator by 466.

\$ (44 \times 466) / (29 \times 466) = (20504) / (13506) \$

8

Hint

The fractions have the same denominator, so you can simply compare the numerators. The fraction with the larger numerator is the smaller fraction.

9

Clue

Among the fractions \$(16566)/(13506), (24075)/(13506)\$, and \$(20504)/(13506)\$, \$(16566)/(13506)\$ has the smallest numerator, making it the smallest fraction.

10

Step

You can also convert them to decimals \$(16566)/(13506) \$ is approximately:

1.22656597

11

Step

And also \$ (24075)/(13506) \$ is approximately:

1.84397977

12

Step

And also \$ (20504)/(13506) \$ is approximately:

1.51814008

13

Step

So, the smallest fraction among \$(33)/(27), (25)/(14)\$, and \$(44)/(29)\$ is:

\$(16566)/(13506)\$

14

Solution

Therefore, the smallest fraction number is \$ (33)/(27) \$.

15

Sumup

Please summarize steps

Choices

16

Choice-A

This is not the smallest fraction; it has a value of approximately 1.79

Wrong \$(25)/(14)\$

17

Choice-B

This is not the smallest fraction; it has a value of approximately 1.52

Wrong \$(44)/(29)\$

18

Choice-C

This is the smallest fraction; it has a value of approximately 1.22

Correct \$(33)/(27)\$

19

Choice-D

This is incorrect because the smallest fraction is \$(33)/(27)\$

Wrong Both A and B

20

Step

Option

C

21

Sumup

Please summarize choices