Simplify by combining like terms.
2/8x+3/10y−5/8x+4/10y
(1 point)
Responses
4/18xy
4 over 18 x y
14/18xy
14 over 18 x y
7/10x+7/8y
7 tenths x plus 7 eighths y
−3/8x+7/10y
This expression cannot be simplified by combining like terms because there are no like terms.
To simplify the expression by combining like terms, we need to collect the coefficients of the variable x and the coefficients of the variable y.
The expression is:
2/8x + 3/10y - 5/8x + 4/10y
Combining the coefficients of x:
(2/8x - 5/8x)
To combine the fractions, the denominators need to be the same. The least common denominator between 8 and 10 is 40.
(2/8x - 5/8x) = (5/40x - 25/40x) = (5/40 - 25/40)x = (-20/40)x = (-1/2)x
Similarly, combining the coefficients of y:
(3/10y + 4/10y) = (7/10y)
Therefore, the simplified expression is:
(-1/2)x + (7/10)y
(-1/2)x plus 7 tenths y
To simplify the expression by combining like terms, we need to group the terms that have the same variable and then combine the coefficients.
The given expression is:
2/8x + 3/10y - 5/8x + 4/10y
First, let's combine the terms with the variable x:
2/8x - 5/8x
To add or subtract fractions with the same denominator (in this case, x), we keep the denominator the same and add or subtract the numerators. In this case, we have:
(2/8 - 5/8)x
-3/8x
Next, let's combine the terms with the variable y:
3/10y + 4/10y
Again, we keep the denominator the same and add the numerators:
(3/10 + 4/10)y
7/10y
Now, our simplified expression becomes:
-3/8x + 7/10y