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If 212+312+412=x2\frac{ 1}{2}+3\frac{ 1}{2}+4 \frac{1}{2}=x221​+321​+421​=x​, then what will be the value of x−512?x-5 \frac{1}{2} ?x−521​?​​
Question

If 212+312+412=x2\frac{ 1}{2}+3\frac{ 1}{2}+4 \frac{1}{2}=x​, then what will be the value of x512?x-5 \frac{1}{2} ?​​

A.

6

B.

5

C.

4

D.

8

Correct option is B

Given:
2 ½ + 3½ + 4½ = x
Solution:
Convert Mixed Numbers to Improper Fractions or Decimals
2 ½ = 2 + 0.5 = 2.5
3 ½ = 3 + 0.5 = 3.5
4 ½ = 4 + 0.5 = 4.5
Calculate the Value of x
Add these values together:
x = 2.5 + 3.5 + 4.5 = 10.5
Calculate x - 5 ½
Convert 5 ½ to a decimal:
5 ½ = 5 + 0.5 = 5.5
Now, subtract: x - 5.5 = 10.5 - 5.5 = 5
Answer
The value of x - 5 ½ is
= 5

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