Question

I am an improper fraction. My numerator and denominator are odd numbers. I am 7 2/5 as a mixed number[ when expressed in my simplest form]. The sum of my numerator and denominator is 126. What fraction am I?

Answer 1

the answer is 37/5.
7 2/5 can be said as. 37/5

Answer 2

Answer:

$\frac{111}{15}$

Step-by-step explanation:

Improper fraction is a fraction in which a fraction in which the numerator is greater than the denominator .

Given,

Fraction when expressed as mixed fraction = 7 2/5

Fraction = $\frac{37}{5}$

Also, we are given,

Sum of numerator and denominator = 126

Let numerator be N and denominator be D

N + D = 126

D = 126 - N

According to question,

$\frac{N}{126 - N}$ =  $\frac{37}{5}$

5N = 37 ( 126 - N)

5N = 4662 - 37N

Adding 37N on both sides,

5N + 37N = 4662 - 37N + 37N

42N = 4662

Dividing both the sides by 42,

N = 4662 / 42

N = 111

Now,

D = 126 - N = 126 - 111

D = 15

So the desired fraction is  $\frac{111}{15}$ . Since here numnerator [ 111 ] > denominator [ 15 ], Hence we have an improper fraction

Hence,

Answer is  $\frac{111}{15}$