Question

В заданиях 369 сравните дроби, не приводя их к общему знаменателю

Answer 1

А) больше 15/16
б) больше 51/64
в)больше 51/100
г) больше 3/4

Answer 2

Comparing Fractions without Finding a Common Denominator

When comparing fractions, it is not always necessary to find a common denominator. Instead, you can compare fractions by cross-multiplying and comparing the products. Here's how you can compare fractions without finding a common denominator:

1. Step 1: Write down the two fractions you want to compare.

2. Step 2: Cross-multiply the fractions. Multiply the numerator of the first fraction by the denominator of the second fraction, and multiply the numerator of the second fraction by the denominator of the first fraction.

3. Step 3: Compare the products obtained from step 2. The fraction with the larger product is the larger fraction.

Let's illustrate this with an example:

Suppose we want to compare the fractions 3/4 and 2/5.

Step 1: Write down the fractions: 3/4 and 2/5.

Step 2: Cross-multiply: (3 * 5) and (2 * 4).

Step 3: Compare the products: 15 and 8. Since 15 is greater than 8, we can conclude that 3/4 is greater than 2/5.

By following these steps, you can compare fractions without finding a common denominator.

Please note that this method works for comparing fractions, but it may not be suitable for all mathematical operations involving fractions. In some cases, finding a common denominator may be necessary.

I hope this explanation helps! Let me know if you have any further questions.