Problems from From decimal numbers to fractions

Development:

$a=2,654$

$b=13,\widehat{187}$

$c=19,13\widehat{76}$

• The fraction equivalent to $a$:

${\displaystyle \frac{2654}{1000}}={\displaystyle \frac{1327}{500}}$

It is not possible to simplify it any more since $500$ only contains the factors $2$ and $5$, and $1327$ cannot be divided by either $2$ or by $5$.

• Equivalent fraction to $b$:

${\displaystyle \frac{13187-13}{999}}={\displaystyle \frac{13174}{999}}$

And it is not possible to simplify it any more.

• Fraction equivalent to $c$:

${\displaystyle \frac{1}{100}}\cdot 1913,\widehat{76}={\displaystyle \frac{1}{100}}\cdot {\displaystyle \frac{191376-1913}{99}}={\displaystyle \frac{189463}{9900}}$

Solution:

$a={\displaystyle \frac{1327}{500}}$

$b={\displaystyle \frac{13174}{999}}$

$c={\displaystyle \frac{189463}{9900}}$

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