2/8x+3/10y-5/8x+4/10y simplify by combining terms
1/2(x+4)+1/4(4x−2)
To simplify the given expression, we first apply the distributive property to each term within the parentheses:
1/2(x + 4) + 1/4(4x - 2)
Multiplying 1/2 by each term in the first parentheses and 1/4 by each term in the second parentheses yields:
1/2 * x + 1/2 * 4 + 1/4 * 4x - 1/4 * 2
Simplifying the multiplication gives:
1/2x + 2/2 + 4/4x - 2/4
Reducing the fraction terms, we have:
1/2x + 1 + x - 1/2
Combining the like terms, we get:
1/2x + x - 1/2 + 1
Simplifying further:
(1/2 + 1)x + (1 - 1/2)
Adding the fractions:
(2/2 + 1/2)x + (2/2 - 1/2)
Simplifying the fractions again:
(3/2)x + (1/2)
Thus, the simplified expression becomes 3/2x + 1/2.
2/8x+3/10y-5/8x+4/10y Answer should be in mixed form.
To simplify the expression and put it in mixed form, we need to combine like terms.
The given expression is: 2/8x + 3/10y - 5/8x + 4/10y
Combining the terms with "x" gives: (2/8 - 5/8)x
Simplifying this gives: (-3/8)x
Combining the terms with "y" gives: (3/10 + 4/10)y
Simplifying this gives: (7/10)y
Putting it all together, the expression becomes: (-3/8)x + (7/10)y
In mixed form, this expression can be written as: (-3/8)x + (7/10)y
To simplify the expression 2/8x + 3/10y - 5/8x + 4/10y, we can combine like terms.
First, let's combine the terms with x:
2/8x - 5/8x is equal to (2-5)/8x, which simplifies to -3/8x.
Next, let's combine the terms with y:
3/10y + 4/10y is equal to (3+4)/10y, which simplifies to 7/10y.
Therefore, the simplified expression becomes:
-3/8x + 7/10y
To simplify the expression (2/8x + 3/10y - 5/8x + 4/10y), we can combine like terms.
First, let's combine the terms with the variable "x":
(2/8x - 5/8x) + (3/10y + 4/10y)
To combine these terms, we need to have a common denominator for the fractions involving "x". In this case, the least common denominator is 8. We can convert the numerators to have a denominator of 8:
(2/8 - 5/8)x + (3/10y + 4/10y)
Simplifying the fractions:
(1/4 - 5/8)x + (7/10y)
To add the fractions, we need to have a common denominator. In this case, the least common denominator for the fractions involving "y" is 10. So, let's convert the fractions:
(1/4 - (5/8)x + (7/10)y)
Now, the expression is simplified and the terms are combined.
Combining the terms involves adding or subtracting coefficients of variables with the same base.
So, combining like terms in the expression 2/8x + 3/10y - 5/8x + 4/10y gives:
(2/8x - 5/8x) + (3/10y + 4/10y)
To combine the terms with "x", we subtract the coefficients:
(2/8 - 5/8)x
To combine the terms with "y", we add the coefficients:
(3/10 + 4/10)y
Simplifying the coefficients, we have:
(-3/8x) + (7/10y)