Question

The denominator of a fraction is 333 less than the numerator.

Increasing the numerator by 444 and decreasing the denominator by 333, we get the number 333.

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Answer 1

Answer:

Factor all the numbers in order to easily reduce (simplify) the end fraction.

Fraction: 333/100 already reduced to the lowest terms.

The numerator and the denominator have no common prime factors.

Their prime factorization:

333 = 32 × 37;

100 = 22 × 52

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

$\frac{x}{x-3}$

$\frac{x+4}{x-3-3} = 3$

Now we have to cross multiply

Since 3 is an integer and not a fraction, we have to consider 3 as 3/1 (in this way... it is a fraction and its value is not changed)

${1(x+4)} = {3(x-6)}$

${x+4} = {3x-18}$

--> 4+18 = 3x-x

--> 22 = 2x

Therefore x = 11

$\frac{x}{x-3} = \frac{11}{8}$

$\frac{x+4}{x-6} = \frac{15}{5} = 3$

Therefore the fraction is $\frac{11}{8}$