Question

Can somebody help me out

Answer 1

Explanation:

The expression you provided is "5x divided by 2 + 3x divided by 7." Let's break it down and see if it can be simplified.

The expression consists of two terms: "5x divided by 2" and "3x divided by 7." Each term involves division, addition, and multiplication.

To simplify an expression, we typically look for common factors or terms that can be combined. However, in this case, the two terms have different denominators (2 and 7), which makes it challenging to directly combine them.

To simplify the expression, we would need to find a common denominator for both terms. However, since 2 and 7 are prime numbers (they have no common factors other than 1), there is no simpler fraction that can be used as a common denominator.

Therefore, the expression "5x divided by 2 + 3x divided by 7" cannot be further simplified without additional context or information.

OR

The expression "5x/2 + 3x/7" can indeed be simplified, but it may not seem like it at first glance because it's a combination of two fractions with different denominators. To simplify it, you'll need to find a common denominator and then combine the fractions. Here's the process:

1. Find a common denominator for 2 and 7, which is 14. To do this, you can multiply 2 by 7 and 7 by 2.

So, you get "5x * 7/14 + 3x * 2/14."

2. Now that both fractions have the same denominator (14), you can combine them:

"35x/14 + 6x/14."

3. Finally, add the two fractions with the same denominator:

"41x/14."

So, the simplified expression is "41x/14." This is a simplified form of "5x/2 + 3x/7."

Answer 2

Cannot be simplified because the two fractions have different denominators

Explanation:

`(5x)/(2) + (3x)/(2)`

The expression cannot be simplified because the two fractions have different denominators. In order to add two fractions, they must have the same denominator.

Note: we can simplify further too.

One way to simplify the expression would be to find the least common multiple (LCM) of the two denominators. The LCM of 2 and 7 is 14, so we could rewrite the expression as follows:

`\sf \begin{aligned} (5x)/(2) + (3x)/(7) &= (7 \cdot 5x)/(7 \cdot 2) + (2 \cdot 3x)/(2 \cdot 7) \\\\ &= (35x)/(14) + (6x)/(14) \end{aligned}`

Now that the two fractions have the same denominator, we can simply add the numerators:

`\sf = (35x + 6x)/(14)`

`\sf = (41x)/(14)`

Therefore, the simplified expression is
`\sf (41x)/(14)`