Question

Чтобы сравнить 2 дроби,их можно привести к одинаковому знаменателю или преобразавать так,чтобы у них были одинаковые числители A]4/5 И 2/3 Б]2/5И3/10 CРАВНИТЕ 2 СПОСОБАМИ

Answer 1

А) 4/5 и 2/3

4•3/(5•3) = 12/15
2•5/(3•5) = 10/15

12/15 > 10/15
Следовательно.
4/5 > 2/3

или
4/5
2/3 = 2•2/(3•2) = 4/6

4/5 > 4/6

Б) 2/5 и 3/10

2•2/(5•2) = 4/10
4/10 > 3/10

или

2/5 = 2•3/(5•3) = 6/15

3/10 = 3•2/(10•2) = 6/20

6/15 > 6/20
Следовательно,
2/5 > 3/10

Answer 2

Comparing Fractions

To compare two fractions, you can either find a common denominator or manipulate the fractions to have the same numerators. Let's compare the fractions 4/5 and 2/3 using both methods.

Method 1: Finding a Common Denominator

To compare fractions by finding a common denominator, you need to find the least common multiple (LCM) of the denominators. In this case, the denominators are 5 and 3. The LCM of 5 and 3 is 15.

To convert the fractions to have a common denominator of 15: - Multiply the numerator and denominator of the first fraction by 3: 4/5 becomes 12/15. - Multiply the numerator and denominator of the second fraction by 5: 2/3 becomes 10/15.

Now, we can compare the fractions 12/15 and 10/15. Since the denominators are the same, we can compare the numerators directly. In this case, 12/15 is greater than 10/15 because 12 is greater than 10.

Method 2: Manipulating the Fractions

To compare fractions by manipulating them to have the same numerators, you need to find a common numerator. In this case, we can choose the numerator 6.

To convert the fractions to have a common numerator of 6: - Multiply the numerator and denominator of the first fraction by 6: 4/5 becomes 24/30. - Multiply the numerator and denominator of the second fraction by 6: 2/3 becomes 12/18.

Now, we can compare the fractions 24/30 and 12/18. Since the numerators are the same, we can compare the denominators directly. In this case, 24/30 is greater than 12/18 because 30 is greater than 18.

Conclusion

Using both methods, we can compare the fractions 4/5 and 2/3. The first method, finding a common denominator, gives us 12/15 and 10/15, with 12/15 being greater. The second method, manipulating the fractions to have the same numerators, gives us 24/30 and 12/18, with 24/30 being greater.

Therefore, we can conclude that 4/5 is greater than 2/3.