Question

the numetator of a fraction is less than the demoninator .If one is added to its denomination it becomes 1/2 find the fraction​

Answer 1

Answer:

numerator = 1

denominator = 2

Answer 2

Answer:

• The original fraction is 3/5

Step-by-step explanation:

Given:

• the numerator of a fraction 2 is less than the denominator
• If one is added to its denominator it becomes 1/2

To Find:

• The original fraction

Assumptions:

• Let the numerator of the fraction be x - 2
• Let the denominator of the fraction be x

The original fraction will be:

${\bigstar{\underline{\boxed{\pmb{\frak{ Fraction = \dfrac{x-2}{x} }}}}}}$

Solution:

✰According to the question:

$\longrightarrow \sf \dfrac{x-2}{x+ 1} = \dfrac{1}{2}$

✰ Cross multiplying we get,

$\longrightarrow \sf 2( x - 2 ) = 1( x + 1)$

$\longrightarrow \sf 2x -4 = x + 1$

$\longrightarrow \sf 2x - x = 1 + 4$

$\longrightarrow {\pink{\boxed{\frak{x = 5}}}\purple\bigstar}$

✰ Now let's find the fraction,

$\nrightarrow \sf Numerator \; of \; the\; fraction = x - 2 = 3$

$\nrightarrow \sf Denominator \; of \; the \; fraction = x = 5$

Therefore:

• ${\pink{\underline{\boxed{\tt{Original \; fraction = \dfrac{3}{5} }}}\bigstar}}$

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