Question

the sum of the numerator and denominator of a fraction is 12. if the denominator is increased by B3 the fraction becomes 1/2. the fraction
a) 4/7
b)5/7
c)6/7
d)3/7
some one help meeee​

Answer 1

Answer:

The correct option is b) 5/7

Step-by-step explanation:

As per the first statement, the sum of  numerator and denominator of a fraction is 12.

Let us check which option satisfies this condition:

option a) 4 + 7 = 11

Option b) 5 + 7 = 12

option c) 6 + 7 = 13

option d) 3 + 7 = 10

Thus, option b) satisfies this condition.

Now, let us check for next mentioned condition for this fraction.

if the denominator is increased by 3 the fraction becomes 1/2. the fraction.

7 + 3 = 10

So, the fraction becomes $\frac{5}{10}$ which is equivalent to $\frac{1}{2}$

Thus, option b) is the correct answer.

Answer 2

Fraction is 5/7  if sum of the numerator and denominator of a fraction is 12 and on increasing the denominator fraction becomes 1/2

Given : The sum of the numerator and denominator of a fraction is 12.

If the denominator is increased by  3 the fraction becomes 1/2.

To Find : the fraction

a) 4/7

b)5/7

c)6/7

d)3/7

Solution:

Fraction = N/D

N = Numerator

D = Denominator

N + D = 12

=> D = 12 - N        Eq1

denominator is increased by  3 the fraction becomes 1/2.

N/(D + 3 )  = 1/2

=> 2N  =  D  + 3

=> D = 2N - 3      Eq2

Equate D  from Eq 1 and Eq2

2N - 3  = 12 - N

=> 3N = 15

=> N = 5

Substitute N = 5 in Eq1

=> D = 12 - 5

=> D = 7

Fraction = 5/7

correct option is b) 5/7

Fraction is 5/7  if sum of the numerator and denominator of a fraction is 12 and on increasing the denominator fraction becomes 1/2

Learn More:

How to create equivalent fractions

https://brainly.in/question/38901112

Write the fractions and pair up the equivalent fractions from each row

brainly.in/question/5451929

find the equivalent fraction of 56/70 with (I) numerator 4 (ii ...

brainly.in/question/12231577