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Rufina [12.5K]
3 years ago
14

I am an improper fraction whose numerator and denominator are made of odd digits only. In my simplest form, my representation as

a mixed number is 2 1 3 . The sum of my numerator and denominator is 30. What fraction am I?
Mathematics
1 answer:
ASHA 777 [7]3 years ago
3 0

Answer:

The fraction is =  \frac{21}{9}

Step-by-step explanation:

In simplest form the fraction is represented in mixed number as 2\frac{1}{3}.

The fraction form of the mixed number can be given as :

2\frac{1}{3}=\frac{7}{3}

Let the fraction be = \frac{7x}{3x} [As multiplying same numbers to numerator and denominator does not affect the proportion.

Sum of numerator and denominator is = 30

This, can be represented as:

7x+3x=30

Solving for x.

10x=30

Dividing both sides by 10.

\frac{10x}{10}=\frac{30}{10}

x=3

So, the fraction will be = \frac{7\times 3}{3\times 3}

⇒ \frac{21}{9}

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