Question

When the numerator of a fraction is increased by
4, the fraction increases by 2/3. What is the denominator of the fraction?​

Answer 1

Solution

Given ,

• the numerator of a fraction is increased by 4 .
• the fraction increased by 2/3

To find,

• we have to find it the denominator of the fraction .

So ,

• Let the fraction be X/y .

• Now , as it is increased by 4 so the equation will be : x+4/y
• as it is increased by 2/3 the fraction will be ; 2/3 + x/y

Now , when we use both equation we get ;

=> X+4/y = 2/3 + X/y

• solving this we get ;

=> X+4/y -X/y = 2/3

=> 4/y = 2/3

=> y = 4×3/2

=>y = 12/2

=> y = 6

The denominator is 6 .

Answer 2

$\blue\star$ To Find :-

⟹ What is the denominator of the fraction?

$\pink\star$Solution :-

According to the question the equation is :-

$\sf{⟹ x+4/y=2/3+x/y}$

Solving the Equation :-

$\sf{⟹ x+4/y=2/3+x/y}$

$\sf{⟹ 4/y=2/3}$

$\sf{⟹ y = 4 ×3/2}$

$\sf{⟹ y =6}$

$\blue\star$Main answer :-

→ The denominator is 6.