1

Problem

Find the missing value of \$7 30/20 times __ = 55 1/4\$.

2

Step

The given problem is

\$7 30/20 times __ = 55 1/4\$

3

Step

First, convert the given mixed fractions to improper fractions

\$170/20\$ = \$17/2\$, \$221/4\$

4

Step

Now, divide the final result fraction with the given fraction

\$221/4 div 17/2\$

5

Step

Turn the second fraction upside down (it becomes a reciprocal)

\$221/4 times 2/17\$

6

Step

Multiply the numerator with the numerator and the denominator with the denominator

\$(221 times 2)/(4 times 17)\$

7

Step

After multiplication we get,

\$442/68\$

8

Step

Simplify and convert the fraction into mixed fraction we get,

\$6 1/2\$

9

Step

\$6 1/2\$ is the missing fraction.

10

Sumup

Please summarize steps

Choices

11

Choice-A

This option \$6 1/2\$ is correct because it simplifies to 6.5, which matches the solution

Correct \$6 1/2\$

12

Choice-B

Convert \$5 13/4\$ to a decimal: \$5 + 13/4 = 5 + 3.25 = 8.25\$ This also does not match 0.1545 So, this option is incorrect

Wrong \$5 13/4\$

13

Choice-C

This option is incorrect convert: \$5 + 2/4\$ Simplify: \$2/4\$ = 0.5, so 5 + 0.5 = 5.5

Wrong \$5 2/4\$

14

Choice-D

This option incorrect. \$5 5/4\$ equals \$20/4 + 5/4 = 25/4\$, which does not satisfy the equation

Wrong \$5 5/4\$

15

Answer

Option

A

16

Sumup

Please summarize choices