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
Simplify 3/7x + 2/6x using properties of operations.
Options:
5/14x2
5/14x
5/7x2
5/7x
8 answers
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
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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The correct answer is 5/7x
84 answers