1

Problem

Identify the large fraction number given below:

\$6/5, (15)/5, (12)/5, 7/3\$.

2

Step

The given fraction numbers are

\$6/5, (15)/5, (12)/5, 9/3\$

3

Hint

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

4

Step

The least common multiple of 5 and 3 is

15

5

Step

For \$ 6/5\$ multiply both the numerator and denominator by 3

\$ (6 \times 3) / (5 \times 3) = (18)/(15) \$

6

Step

For \$ (15)/5 \$ multiply both the numerator and denominator by 3

\$ (15 \times 3) / (5 \times 3) = (45)/(15) \$

7

Step

For \$ (12)/5 \$ multiply both the numerator and denominator by 3

\$(12 \times 3) / (5 \times 3) = (36) /(15)\$

8

Step

For \$ 7/3 \$ multiply both the numerator and denominator by 5

\$(7 \times 5) / (3 \times 5 ) = (35) /(15)\$

9

Clue

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

10

Hint

Among the fractions \$(18)/(15)\$, \$(45)/(15) \$, \$(36)/(15)\$, and \$ (35)/(15) \$, \$(45)/(15)\$ has the largest numerator, making it the largest fraction.

11

Step

You can also convert them to decimals \$(18)/(15)\$ is approximately

1.2

12

Step

And also \$(45)/(15)\$ is approximately

3

13

Step

And also \$(36)/(15)\$ is approximately

2.4

14

Step

And also \$(35)/(15)\$ is approximately

2.3

15

Step

So, the largest fraction among \$6/5, (15)/5, (12)/5 \$, and \$7/3\$ is

\$ (15)/5 \$

16

Solution

Therefore, the largest fraction number is \$ (15)/5 \$.

17

Sumup

Please summarize steps

Choices

18

Choice-A

This is incorrect because it represents the smaller fraction

Wrong \$9/3\$

19

Choice-B

This is incorrect because it represents the smaller fraction

Wrong \$6/5\$

20

Choice-C

This is incorrect because it represents the smaller fraction

Wrong \$(12)/5\$

21

Choice-D

This is accurate because it represents the larger fraction

Correct \$(15)/5\$

22

Step

Option

D

23

Sumup

Please summarize choices