Question

Приведите дроби к общему знаменателю

Answer 1

Для приведения дробей к общему знаменателю надо:найти наименьшее общее кратное знаменателей этих дробей (наименьший общий знаменатель);разделить наименьший общий знаменатель на знаменатели данных дробей, т. е. найти для каждой дроби дополнительный множитель;умножить числитель и знаменатели каждой дроби на ее дополнительный множитель.

Answer 2

Finding a Common Denominator for Fractions

To find a common denominator for fractions, you can follow these steps:

1. Identify the Fractions: First, identify the fractions for which you want to find a common denominator.

2. List the Multiples of the Denominators: List the multiples of the denominators of the fractions.

3. Find the Least Common Multiple (LCM): Determine the least common multiple of the denominators. This will be the common denominator for the fractions.

Let's illustrate this process with an example using the fractions provided in the question.

Example Calculation

We have the fractions 1/6 and 1/2.

- The multiples of 6 are 6, 12, 18, 24, ... - The multiples of 2 are 2, 4, 6, 8, ...

The least common multiple (LCM) of 6 and 2 is 6. Therefore, the common denominator for 1/6 and 1/2 is 6.

So, to bring the fractions 1/6 and 1/2 to a common denominator, we can express them as:

1/6 = 1/6 1/2 = 3/6

This means that the fractions 1/6 and 1/2 can be expressed with a common denominator of 6.

Conclusion

In conclusion, to find a common denominator for fractions, you need to identify the fractions, list the multiples of the denominators, and find the least common multiple (LCM) of the denominators. This LCM will be the common denominator for the fractions.