Maths-

General

Easy

Question

# 𝑉𝑒𝑟𝑖𝑓𝑦

Hint:

### Solve the LHS part and RHS part separately and then compare.

## The correct answer is: verified.

### To verify

Express the rational numbers with positive denominator by multiplying with -1**.**

Here,

Consider the LHS part, we have …(i)

Determine the LCM of the denominators of rational numbers inside the brackets.

LCM of 5 and 3 = 15

On multiplying with 3, we get

On multiplying with 5, we get

On adding, we get

On substituting this in (i), we get

Determine the LCM of the denominators of rational numbers.

LCM of 15 and 4 = 60

On multiplying with 4, we get

On multiplying with 15, we get

On adding, we get

Thus we have LHS to be

Consider the RHS part, we have …(ii)

Determine the LCM of the denominators of rational numbers inside the brackets.

LCM of 3 and 4 = 12

On multiplying with 4, we get

On multiplying with 3, we get

On adding, we get

On substituting this in (ii), we get

Determine the LCM of the denominators of rational numbers.

LCM of 5 and 12 = 60

On multiplying with 12, we get

On multiplying with 5, we get

On adding, we get

Thus we have RHS to be

So we get LHS = RHS =

Hence verified.

Here,

Consider the LHS part, we have …(i)

Determine the LCM of the denominators of rational numbers inside the brackets.

LCM of 5 and 3 = 15

On multiplying with 3, we get

On multiplying with 5, we get

On adding, we get

On substituting this in (i), we get

Determine the LCM of the denominators of rational numbers.

LCM of 15 and 4 = 60

On multiplying with 4, we get

On multiplying with 15, we get

On adding, we get

Thus we have LHS to be

Consider the RHS part, we have …(ii)

Determine the LCM of the denominators of rational numbers inside the brackets.

LCM of 3 and 4 = 12

On multiplying with 4, we get

On multiplying with 3, we get

On adding, we get

On substituting this in (ii), we get

Determine the LCM of the denominators of rational numbers.

LCM of 5 and 12 = 60

On multiplying with 12, we get

On multiplying with 5, we get

On adding, we get

Thus we have RHS to be

So we get LHS = RHS =

Hence verified.

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### 𝑉𝑒𝑟𝑖𝑓𝑦

### 𝑉𝑒𝑟𝑖𝑓𝑦

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