А) 1/27 + 5/9+1/3 . б) 2/9+5/6+1/18. г) 3/8+5/12+1/24. д) 1/4+3/8+5+16 е) 5/7+3/14+1/21
Ответы на вопрос
Let's solve each of the given expressions:
а) 1/27 + 5/9 + 1/3: To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 27, 9, and 3 is 27. So, we can rewrite the fractions with the common denominator of 27:
1/27 + 5/9 + 1/3 = (1/27) * (1/1) + (5/9) * (3/3) + (1/3) * (9/9) = 1/27 + 15/27 + 9/27 = (1 + 15 + 9)/27 = 25/27
Therefore, the result of 1/27 + 5/9 + 1/3 is 25/27.
б) 2/9 + 5/6 + 1/18: The least common multiple (LCM) of 9, 6, and 18 is 18. So, we can rewrite the fractions with the common denominator of 18:
2/9 + 5/6 + 1/18 = (2/9) * (2/2) + (5/6) * (3/3) + (1/18) * (1/1) = 4/18 + 15/18 + 1/18 = (4 + 15 + 1)/18 = 20/18 = (10/9) * (2/2) = 20/18 = 10/9
Therefore, the result of 2/9 + 5/6 + 1/18 is 10/9.
г) 3/8 + 5/12 + 1/24: The least common multiple (LCM) of 8, 12, and 24 is 24. So, we can rewrite the fractions with the common denominator of 24:
3/8 + 5/12 + 1/24 = (3/8) * (3/3) + (5/12) * (2/2) + (1/24) * (1/1) = 9/24 + 10/24 + 1/24 = (9 + 10 + 1)/24 = 20/24 = (4/4) * (5/6) = 5/6
Therefore, the result of 3/8 + 5/12 + 1/24 is 5/6.
д) 1/4 + 3/8 + 5 + 16: The fractions 1/4 and 3/8 can be added directly:
1/4 + 3/8 = (1/4) * (2/2) + 3/8 = 2/8 + 3/8 = 5/8
Now, we can add the remaining terms:
5/8 + 5 + 16 = (5/8) + (40/8) + (128/8) = (5 + 40 + 128)/8 = 173/8
Therefore, the result of 1/4 + 3/8 + 5 + 16 is 173/8.
е) 5/7 + 3/14 + 1/21: The least common multiple (LCM) of 7, 14, and 21 is 42. So, we can rewrite the fractions with the common denominator of 42:
5/7 + 3
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