1

Problem

Identify the large fraction number given below:

\$(17)/(12), 5/(13), (19)/(21)\$.

2

Step

The given fraction numbers are

\$(17)/(12), 5/(13), (19)/(21)\$

3

Step

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

4

Step

The least common multiple of 12, 13, and 21 is

546

5

Step

For \$ (17)/(12)\$ multiply both the numerator and denominator by 45.

\$ (17 \times 45)/(12 \times 45) = (765)/(546) \$

6

Step

For \$ 5/(13) \$ multiply the numerator and denominator by 42.

\$ (5 \times 42)/(13 \times 42) = (210)/(546) \$

7

Step

For \$ (19)/(21) \$ multiply both the numerator and denominator by 26.

\$(19 \times 26)/(21 \times 26) = (494)/(546)\$

8

Hint

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

9

Clue

Among the fractions \$(765)/(546)\$, \$(210)/(546) \$, and \$(494)/(546)\$, \$(765)/(546)\$ has the largest numerator, making it the largest fraction.

10

Step

You can also convert them to decimals \$(765)/(546)\$ is approximately

1.4007

11

Step

And also \$(210)/(546)\$ is approximately

0.3846

12

Step

And also \$(494)/(546)\$ is approximately

0.9033

13

Step

So, the largest fraction among \$(17)/(12), 5/(13)\$, and \$(19)/(21)\$ is

\$ (765)/(546)\$

14

Solution

Therefore, the largest fraction number is \$ (17)/(12)\$.

15

Sumup

Please summarize steps

Choices

16

Choice-A

This is incorrect because it represents the smaller fraction

Wrong \$(19)/(21)\$

17

Choice-B

This is accurate because it represents the larger fraction

Correct \$(17)/(12)\$

18

Choice-C

This statement is incorrect because only option B is the correct choice

Wrong Both A and B

19

Choice-D

This statement is incorrect because option B is the correct answer

Wrong None of the above

20

Step

Option

B

21

Sumup

Please summarize choices