Question

Приведите дробь к общему знаменателю: 4:3а-1 , 2:1+3а , 5:а в кубе+1

Answer 1

Скинь фотку этого примера

Answer 2

Finding a Common Denominator for the Given Fractions

To find a common denominator for the given fractions, we can start by simplifying each fraction and then identifying the least common multiple of the denominators. Let's start by simplifying the given fractions:

1. Simplify the First Fraction (4:3a-1): - The given fraction is 4:(3a-1). - There is no simplification possible for this fraction as it is already in its simplest form.

2. Simplify the Second Fraction (2:1+3a): - The given fraction is 2:(1+3a). - There is no simplification possible for this fraction as it is already in its simplest form.

3. Simplify the Third Fraction (5:a^3+1): - The given fraction is 5:(a^3+1). - There is no simplification possible for this fraction as it is already in its simplest form.

Now, let's find the least common multiple of the denominators to determine the common denominator for these fractions.

Least Common Multiple (LCM) of the Denominators

The least common multiple (LCM) of the denominators will give us the common denominator for the given fractions.

The denominators are: - (3a-1) from the first fraction - (1+3a) from the second fraction - (a^3+1) from the third fraction

To find the LCM, we can use the given denominators directly to calculate the common denominator.

Common Denominator: The common denominator for the given fractions is the product of the denominators, which is: (3a-1) * (1+3a) * (a^3+1)

Therefore, the common denominator for the given fractions is (3a-1) * (1+3a) * (a^3+1).

This common denominator can be used to express each fraction with the same denominator.

I hope this helps! If you have further questions or need additional assistance, feel free to ask.