Question

1.сравните дроби а) 3/4 и 3/7 б) 4/7 и 5/7 в) 2/3 и 5/8 г) 13/12 и 1 2.Сравните с 1/2 дроби : 3/8,10/19,41/80 3.Найдите дробь которую можно поставить вместо x и получить верное двойное неравенство 2/6 меньше x меньше 2/5

Answer 1

1) а)3/4>3/7
21/28>12/28
б)4/7<5/7
в)2/3>5/8
16/24>15/24
г)13/12>1
1 1/12>12/12

2)
1/2>3/8 4/8>3/8
1/2<10/19 19/38<20/38
1/2<41/80 40/80<41/80

3)
2/6<х<2/5
10/30<х<12/30
Х=11/30

Answer 2

I will try to answer your questions in detail.

1. To compare fractions, we need to find their common denominator and then compare their numerators. For example, to compare 3/4 and 3/7, we can multiply both fractions by the product of their denominators, which is 28, and get 21/28 and 12/28. Then we can see that 21 > 12, so 3/4 > 3/7. Similarly, we can compare the other fractions as follows:

- a) 3/4 and 3/7: 3/4 > 3/7 - b) 4/7 and 5/7: 4/7 < 5/7 - c) 2/3 and 5/8: 2/3 > 5/8 - d) 13/12 and 1: 13/12 > 1

2. To compare fractions with 1/2, we can use the same method as above, or we can cross-multiply and compare the products. For example, to compare 3/8 and 1/2, we can cross-multiply and get 3 x 2 = 6 and 8 x 1 = 8. Then we can see that 6 < 8, so 3/8 < 1/2. Similarly, we can compare the other fractions as follows:

- 3/8, 10/19, 41/80: 3/8 < 1/2, 10/19 < 1/2, 41/80 > 1/2

3. To find a fraction that satisfies the double inequality 2/6 < x < 2/5, we need to find a fraction that has a numerator between 2 and 2, and a denominator between 6 and 5. One possible fraction is 7/30, because 7 is between 2 and 2, and 30 is between 6 and 5. We can check that 7/30 satisfies the inequality by cross-multiplying and comparing the products:

- 2/6 < 7/30: 2 x 30 = 60 and 6 x 7 = 42, 60 > 42, so 2/6 < 7/30 - 7/30 < 2/5: 7 x 5 = 35 and 30 x 2 = 60, 35 < 60, so 7/30 < 2/5

Therefore, 2/6 < 7/30 < 2/5, and 7/30 is a valid fraction for x.

I hope this helps you understand how to compare and find fractions. If you need more help, you can use an online calculator for fractions, or look at some examples .