Question

a/b is a fraction where a b. If n is added to both numerator and denominator, then which one
is greater a/b or (arn) (bn)
a
la​

Answer 1

Answer:

a/b

According to question ,

a+n/b+n

Since a is less than b , therefore a+n will also be less than b+n

Step-by-step explanation:

a/b

According to question ,

a+n/b+n

Since a is less than b , therefore a+n will also be less than b+n

Answer 2

Complete Question:
A/b is a fraction where a less than b if n is added to both numerator and denominator then will the fraction be greater than 1?

Answer:

No, A fraction is always less than 1.

Explanation:

Given:

A fraction a/b, where a<b.

To Find:

Is the fraction greater than 1

Situation:

A number 'n' is added to both numerator and denominator

Solution:

We are given the fraction as a/b

Here, b can not be equal to zero as that would make the fraction N.A. i.e not applicable.

We are given that a<b.

Thus the denominator will always exceed the numerator.

Adding the condition i.e. Adding 'n' to both 'a' and 'b'

New fraction = $\frac{a+n}{b+n}$

Equation = a<b

Adding n to both sides

a+n < b+n

Given situation makes it so that,

The fraction is always less than 1

Verification:

Let a = 2 and b = 4

Condition, b not equal to 0 and a<b are met

Fraction = 2/4 = 1/2

Which is less than one

Adding 2 to both a and b

New a = 4 and b =6

New fraction = 4/6 = 2/3 = 0.6

Which is less than 1

Hence verified

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