Simplify 3/7x + 2/7x using properties of operations.(1 point)
Responses
The expression 3/7x + 2/7x can be simplified by combining the two fractions with a common denominator of 7x.
To simplify the expression 3/7x + 2/7x, we can combine the terms that have the same variable, which in this case is "x".
When we combine the fractions, the denominators stay the same since they are already the same.
To add the numerators, we add 3 and 2, which gives us 5.
Therefore, the simplified expression is (5/7)x.
To simplify the expression (3/7)x + (2/7)x, you can combine the like terms. Like terms have the same variable and exponent. In this case, both terms have the variable x raised to the power of 1.
To combine like terms, you need to add the coefficients (the numbers in front of the variable). In this case, the coefficients are 3/7 and 2/7.
When adding fractions, you need to have a common denominator. The least common denominator for 7 and 7 is 7. Therefore, you do not need to convert any fractions.
To add fractions with the same denominator, simply add the numerators and keep the common denominator. So, the simplified expression is:
(3/7)x + (2/7)x = (3 + 2)/7x = 5/7x
Therefore, the simplified expression is 5/7x.