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Simplificati fractia: 6+12+18+....+96
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8+16+24+....+128


Răspuns :

[tex] \frac{6+12+18+...+96}{8+16+24+...+128} = \frac{[(96*97):2]:6}{[(128*129):2]:8}= \frac{776}{1376}= \frac{388}{688}= \frac{194}{344} = \frac{97}{172} [/tex]
Cred ca asa se face :)
6+12+18+....+96
8+16+24+....+128=

96×(96+1)÷2

128×(128+1)÷2=

96×97÷2
128×129÷2=

9312÷2
16512÷2=

4656

8256=

apoi imparti si numaratorul si numitorul pana nu mai poate fi facuta simplificarea