1) 6 / 7 = (6·3) / (7·3) = 18 / 21
2) (–3) / 5 = (–3·9) / (5·9) = (–27) / 45 = 27 / (–45)
3) (2a) / (3a) = 2 / 3 (при a ≠ 0)
4) (2a²b) / (7ab²) = (2a·ab) / (7b·ab) = 2a / 7b (при a ≠ 0)
5) (m² – n²) / (m + n)² = (m – n)(m + n) / ((m + n)(m + n)) = (m – n) / (m + n)
6) (a + 3b)·c / c² = (a + 3b)·c / (c·c) = (a + 3b) / c
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Answers & Comments
1) 6 / 7 = (6·3) / (7·3) = 18 / 21
2) (–3) / 5 = (–3·9) / (5·9) = (–27) / 45 = 27 / (–45)
3) (2a) / (3a) = 2 / 3 (при a ≠ 0)
4) (2a²b) / (7ab²) = (2a·ab) / (7b·ab) = 2a / 7b (при a ≠ 0)
5) (m² – n²) / (m + n)² = (m – n)(m + n) / ((m + n)(m + n)) = (m – n) / (m + n)
6) (a + 3b)·c / c² = (a + 3b)·c / (c·c) = (a + 3b) / c