Simplify 3/7x + 2/7x using properties of operations.(1 point)
Responses
5/14x
Start Fraction 5 over 14 End Fraction x
5/7x
Start Fraction 5 over 7 End Fraction x
5/14x^2
Start Fraction 5 over 14 End Fraction x squared
5/7x^2
Start Fraction 5 over 7 End Fraction x squared
Simplify 6/7c − 5/9d − 1/2 c + 1/3d.(1 point)
Responses
59c − 412d = 59c −13d
Start Fraction 5 over 9 End Fraction c minus Start Fraction 4 over 12 End Fraction d equals Start Fraction 5 over 9 End Fraction c minus Start Fraction 1 over 3 End Fraction d
59c + 412d = 59c +13d
Start Fraction 5 over 9 End Fraction c plus Start Fraction 4 over 12 End Fraction d equals Start Fraction 5 over 9 End Fraction c plus Start Fraction 1 over 3 End Fraction d
514c + 29d
Start Fraction 5 over 14 End Fraction c plus Start Fraction 2 over 9 End Fraction d
5/14c − 2/9d
Start Fraction 5 over 14 End Fraction c minus Start Fraction 2 over 9 End Fraction d
To simplify the expression 3/7x + 2/7x, you can combine the two fractions since they have the same denominator, which is 7x.
When you add the two fractions, you add the numerators and keep the same denominator:
3/7x + 2/7x = (3 + 2)/7x = 5/7x
So the simplified expression is 5/7x.
To simplify the expression (3/7)x + (2/7)x, you can add the coefficients of x when the denominators are the same. In this case, both fractions have a denominator of 7, so you can add the numerators together:
(3/7)x + (2/7)x = (3 + 2)/7x = 5/7x
Therefore, the simplified expression is 5/7x.