1

Problem

Convert improper fraction to mixed fraction \$(17)/6\$.

2

Step

In this case, the improper fraction is

\$(17)/6 \$

3

Step

To convert an improper fraction to a mixed fraction, divide the numerator by the denominator.

\$ 17 \div 6 = 5 \$

4

Step

The whole number quotient is 2, so that’s the whole part of the mixed fraction.

2

5

Step

The remainder, which is 5, becomes the new numerator.

5

6

Step

Keep the original denominator (6) for the fractional part.

7

Solution

So, the mixed fraction representation of \$(17)/6\$ is \$ 2 5/6\$.

8

Sumup

Please summarize steps

Choices

9

Choice-A

This is incorrect. The whole number 5 suggests an improper fraction larger than \$(30)/6\$ = 5, but \$(17)/6\$ is less than 5

Wrong \$5 5/6\$

10

Choice-B

As calculated above, this is the correct conversion of \$(17)/6\$ into a mixed fraction

Correct \$2 5/6\$

11

Choice-C

This is incorrect. The whole number 3 suggests an improper fraction larger than \$(17)/6\$, and \$4/6\$ (or \$2/3\$) is not the correct fraction part here

Wrong \$3 4/6\$

12

Choice-D

This option is not applicable since Option B is correct

Wrong None of these

13

Step

Option

B

14

Sumup

Please summarize choices