Simplify 3/7x + 2/6x using properties of operations.

Options:
5/14x2
5/14x
5/7x2
5/7x

To simplify the expression (3/7x) + (2/6x), we first need to find a common denominator for the fractions.

The least common multiple of 7 and 6 is 42, so we can rewrite the expression as:

(3/7x)(6/6) + (2/6x)(7/7)

This equals:

18/42x + 14/42x

Now, we can combine the two terms by adding the numerators:

(18/42x) + (14/42x) = (18 + 14)/(42x) = 32/42x

Finally, we can simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 2:

32/42 can be simplified to 16/21.

Therefore, the simplified expression is:

(16/21)x

Wrong

Apologies for the mistake in my previous response. Let me correct it.

To simplify the expression (3/7x) + (2/6x), we first need to find a common denominator for the fractions.

The least common multiple of 7 and 6 is 42, so we can rewrite the expression as:

(3/7x)(6/6) + (2/6x)(7/7)

This equals:

18/42x + 14/42x

Now, we can combine the two terms by adding the numerators:

(18/42x) + (14/42x) = (18 + 14)/(42x) = 32/42x

Finally, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:

32/42 can be simplified to 16/21.

Therefore, the simplified expression is:

(16/21)x

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