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rezolvati exercitiile : 2 intreg si 1 pe 4 · 1 intreg si 23 pe 45

Răspuns :

[tex]2 \frac{1}{4} \times 1 \frac{23}{45} = \frac{2 \times 4 + 1}{4} \times \frac{1 \times 45 + 23}{45} [/tex]

[tex] = \frac{8 + 1}{4} \times \frac{45 + 23}{45} [/tex]

[tex] = \frac{9}{4} \times \frac{68}{45} [/tex]

[tex] = 1 \times \frac{17}{5} [/tex]

[tex] = \frac{17}{5} [/tex]

→ introduc intregii in fractie

2 intregi si 1 / 4 = ( 2 x 4 + 1 ) / 4 = 9 / 4

1 intreg si 23 / 45 = ( 1 x 45 + 23 ) / 45 = 68 / 45

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9 / 4   ×   68 / 45   = ( 9 / 45 ) × ( 68 / 4 ) =

= ( 1 / 5 ) × 17 =

= 17 / 5 =

= 3 intregi si 2 / 5