1

Problem

Identify the missing number in the given equivalent fraction \$11/3 = 33/?\$.

2

Step

Given problem is

\$11/3 = 33/?\$

3

Hint

Cross-multiplying involves multiplying the numerator of one fraction by the denominator of another fraction.

4

Step

Multiply \$11 times ?\$ and \$3 times 33\$ and set them equal to each other

\$11 times ?\$ = \$3 times 33\$

5

Step

Multiply 3 x 33,

\$11 times ?\$ = 99

6

Step

To solve for ?, we divide both sides of the equation by 11

\$(11 times ?)/11\$ = \$99/11\$

7

Step

After solving the equation we get,

? = 9

8

Solution

So, 9 is the missing number in the equivalent fraction \$11/3 = 33/9\$.

9

Sumup

Please summarize steps

Choices

10

Choice-A

This option is correct. The cross-product method gives ? = 9, which makes the fractions equivalent

Correct 9

11

Choice-B

This option is incorrect. The missing number is 9, not 8, because the calculation \$99/11\$ results in 9, not 8

Wrong 8

12

Choice-C

This option is incorrect. 11 × 6 = 66, which does not match the required value of 99, making the fractions unequal

Wrong 6

13

Choice-D

This option is incorrect. 11 × 5 = 55, which does not satisfy the equation 11 × ? = 99

Wrong 5

14

Answer

Option

A

15

Sumup

Please summarize choices