Question

Как сравнивать обыкновенные дроби с разными числителями и знаменателями?

Answer 1

Пошаговое объяснение:

Для этого нужно привести в общий знаменатель.Например: 1/3 и 4/5

Общий знаменателеМ будет 15

У нас получится дробь 5/15 < 12/15

Больше, тот у кого числитель больше.

Answer 2

Comparing Fractions with Different Numerators and Denominators

When comparing fractions with different numerators and denominators, there are a few steps you can follow to make the comparison easier:

1. Find a common denominator: To compare fractions with different denominators, you need to find a common denominator for both fractions. The common denominator is the least common multiple (LCM) of the two denominators. Once you have a common denominator, you can convert both fractions to equivalent fractions with that denominator.

2. Convert the fractions: Convert both fractions to equivalent fractions with the common denominator. To do this, multiply the numerator and denominator of each fraction by the same number so that the denominators become equal.

3. Compare the numerators: Once both fractions have the same denominator, you can compare the numerators. The fraction with the larger numerator is greater, while the fraction with the smaller numerator is lesser.

Let's look at an example to illustrate this process:

Example: Compare the fractions 3/4 and 5/6.

1. Find a common denominator: - The denominators are 4 and 6. The LCM of 4 and 6 is 12. - The common denominator is 12.

2. Convert the fractions: - Multiply the numerator and denominator of the first fraction (3/4) by 3 to get an equivalent fraction with a denominator of 12: (3/4) * (3/3) = 9/12. - Multiply the numerator and denominator of the second fraction (5/6) by 2 to get an equivalent fraction with a denominator of 12: (5/6) * (2/2) = 10/12.

3. Compare the numerators: - The numerator of the first fraction (9/12) is 9. - The numerator of the second fraction (10/12) is 10. - Since 10 is greater than 9, the fraction 5/6 is greater than 3/4.

Therefore, 5/6 is greater than 3/4.

Note: It's important to simplify fractions whenever possible. In the example above, both fractions can be simplified by dividing the numerator and denominator by their greatest common divisor (GCD). However, the question specifically asks about comparing fractions with different numerators and denominators, so we have not simplified the fractions in this case.