1

Problem

Find the missing value of \$4 50/15 + __ = 15 7/12\$?

2

Step

Given fractions are

\$4 50/15\$, \$15 7/12\$

3

Step

Simplify the fractions and change the mixed fractions into improper fractions

\$4 10/3\$, \$15 7/12\$

\$(12 + 10)/3\$ & \$(180 + 7)/12\$

=\$22/3\$ & \$187/12\$

4

Step

To find the missing fraction number, subtract the given fraction number from the final sum

\$187/12 - 22/3\$

5

Step

Least Common Multiple (LCM) between the denominators

L.C.M 3, 4 = 12

6

Step

Multiply the numerator and denominator of each fraction by a number so that they have the LCM as their new denominator

\$((187 times 1) - (22 times 4))/12\$

7

Step

Add the numerators and keep the denominator are same

\$(187 - 88)/12\$ = \$99/12\$

8

Step

Convert the resultant fraction into a mixed fraction we get,

\$8 1/4\$

9

Sumup

Please summarize steps

Choices

10

Choice-A

This is incorrect. This is equivalent to \$8 1/2\$, which is not equal to \$8 1/4\$

Wrong \$8 6/12\$

11

Choice-B

This is incorrect. \$12 4/3\$ = \$12 + 4/3\$ = \$13 1/3\$, which is not equal to \$8 1/4\$

Wrong \$12 4/3\$

12

Choice-C

This is incorrect. \$12 6/12\$ = \$12 1/2\$ = 12.5, which is not equal to \$8 1/4\$

Wrong \$12 6/12\$

13

Choice-D

This is correct. It matches the computed missing value \$8 1/4\$

Correct \$8 1/4\$

14

Answer

Option

D

15

Sumup

Please summarize choices