1

Problem

Arrange the following fractions in ascending order:

\$2/3, 1/6, 5/9, 7/(12)\$.

2

Step

The given

\$2/3, 1/6, 5/9, 7/(12)\$

3

Step

Here \$2/3\$ is our proper fraction and the decimal value of \$2/3\$ is:

0.666

4

Step

Here \$1/6\$ is our proper fraction and the decimal value of \$1/6\$ is:

0.166

5

Step

Here \$5/9\$ is our proper fraction and the decimal value of \$5/9\$ is:

0.555

6

Step

Here \$7/(12)\$ is our proper fraction and the decimal value of \$7/(12)\$ is:

0.583

7

Step

Ascending order is the arrangement of values from lowest to highest:

\$0.166 < 0.555 < 0.583 < 0.666\$

8

Solution

So, the fractions arranged in ascending order is \$1/6, 5/9, 7/(12), 2/3\$.

9

Sumup

Please summarize steps

Choices

10

Choice-A

This option is incorrect because it repeats the fraction \$ 2/3\$

Wrong \$1/6, 2/3, 7/(12), 2/3\$

11

Choice-B

This option is correct if we arrange the fractions in ascending order

Correct \$1/6, 5/9, 7/(12), 2/3\$

12

Choice-C

This option is incorrect because it swaps the positions of \$ 2/3\$ and \$ 7/(12)\$

Wrong \$1/6, 5/9, 2/3, 7/(12)\$

13

Choice-D

This is incorrect because option B is the correct arrangement

Wrong None of these

14

Step

Option

B

15

Sumup

Please summarize choices