Question

What is the simplest form of 3/81x10/3/3x

Answer 1

To simplify the expression 3/81x10/3/3x, we can cancel out common factors in the numerator and denominator. After canceling out these factors, the simplest form of the expression is 1/3.

Step-by-step explanation:

Simplifying the expression 3/81x10/3/3x

To simplify the expression, we can cancel out common factors in the numerator and denominator. The common factor in the numerator is 3 and the common factor in the denominator is 3 as well. After canceling out these factors, we are left with:

3/81 x 10/3/3 x

Simplifying further:

• The 3 in the numerator and the 3 in the denominator cancel out, leaving us with:
• 1/27 x 10/1/3 x

Now we can simplify the expression:

• 1/27 x 10/1/3 x = 1/27 x 10/1 x 3
• 1/27 x 10/1 x 3 = 1/9 x 3
• 1/9 x 3 = 1/3

So, the simplest form of the expression 3/81x10/3/3x is 1/3.

Answer 2

To simplify the expression 3/81x10/3/3x, we simplify each fraction individually and then multiply them together, resulting in the simplest form of 10/(3´ x).

Step-by-step explanation:

The question asks for the simplest form of the expression 3/81x10/3/3x. The first step is to simplify each part of the expression separately. The fraction 3/81 can be simplified to 1/27 since 3 is a factor of 81 (81 is 3³, or 3 x 3 x 3). Similarly, 10/3 can be simplified as 10/3 itself since there are no common factors other than 1. Now, the expression looks like 1/27 x 10/3 x 1/x. Next, multiply the numerators together and the denominators together: (1 x 10 x 1)/(27 x 3 x x), which results in 10/81x. The expression 10/81x can be simplified further as 10/(27 x x), because 81 is 3³, and we already have a factor of 3 in the denominator. This can be represented as 10/(3³ x x). Therefore, simplifying the given expression most straightforwardly, the answer is 10/(3´ x).