20 Jun Simplifying a fraction ##frac{p}{q}## means to rewrite it as
Simplifying a fraction ##frac{p}{q}## means to rewrite it as an equivalent function ##frac{m}{n}## such that ##frac{p}{q}=frac{m}{n}## but ##m## and ##n## have no common divisors. In your case the fraction ##frac{10}{20}## is not simplified because both numbers are divided by 2 and 5. Considering the generale case if you want to simplify a fraction you can write both numerator and denominator as the product of their prime factors and then simplify all common primes. In your case one can write 10 as ##2cdot 5## and 20 as ##2cdot 2cdot 5##. Thus the fraction ##frac{10}{20}## can be written as ##frac{2cdot 5}{2cdot 2cdot 5}##. We can simplify one 2 and one 5 from both numerator and denominator and so we conclude that ##frac{10}{20}## is simplified into ##frac{1}{2}##.
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