1

Problem

Identify the large fraction number given below:

\$7/9, (13)/(11), 8/(14)\$.

2

Step

Given fraction numbers are

\$7/9, (13)/(11), 8/(14)\$

3

Hint

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

4

Step

The least common multiple of 9, 11 and 14 is

1386

5

Step

For \$ 7/9\$ multiply the numerator and denominator by 154

\$ (7 \times 154)/(9 \times 154) = (1078)/(1386) \$

6

Step

For \$(13)/(11) \$ multiply both the numerator and denominator by 126

\$ (13 \times 126)/(11 \times 126) = (1638)/(1386) \$

7

Step

For \$ 8/(14) \$ multiply both the numerator and denominator by 99

\$ (4 \times 99)/(7 \times 99) = (396)/(1386) \$

8

Clue

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

9

Hint

Among the fractions \$(1078)/(1386) \$, \$(1638)/(1386)\$, and \$ (396)/(1386) \$, \$ (1638)/(1386) \$ has the largest numerator, making it the largest fraction.

10

Step

You can also convert them to decimals \$ (1078)/(1386) \$ is approximately

0.777777

11

Step

And also \$ (1638)/(1386) \$ is approximately

1.18181818

12

Step

And also \$ (396)/(1386) \$ is approximately

0.28571428

13

Step

So, the largest fraction among \$7/9, (13)/(11)\$, and \$8/(14)\$ is

\$ (13)/(11)\$

14

Solution

Therefore, the largest fraction number is \$ (13)/(11)\$.

15

Sumup

Please summarize steps

Choices

16

Choice-A

This is incorrect because it represents the smaller fraction

Wrong \$8/(14)\$

17

Choice-B

This is incorrect because it represents the smaller fraction

Wrong \$7/9\$

18

Choice-C

This is accurate because it represents the larger fraction

Correct \$(13)/(11)\$

19

Choice-C

This is incorrect because option C is the correct answer

Wrong All the above

20

Step

Option

C

21

Sumup

Please summarize choices