Simplify by combining like terms.2/8x+3/10y−5/8x+4/10y
To simplify the expression 2/8x + 3/10y - 5/8x + 4/10y, we can combine the like terms.
First, let's combine the x terms: 2/8x - 5/8x.
Since the denominators are the same, we can combine the numerators: (2/8 - 5/8)x = -3/8x.
Next, let's combine the y terms: 3/10y + 4/10y.
Since the denominators are the same, we can combine the numerators: (3/10 + 4/10)y = 7/10y.
Therefore, the simplified expression is -3/8x + 7/10y.
To simplify the expression 2/8x + 3/10y - 5/8x + 4/10y, we need to combine like terms.
First, let's combine the terms with x:
2/8x - 5/8x
To combine these terms, we need to have a common denominator. The least common denominator for 8x and 8x is 8x. So we rewrite the terms with the common denominator:
(2 - 5) / 8x = -3 / 8x
Next, let's combine the terms with y:
3/10y + 4/10y
To combine these terms, we need to have a common denominator. The least common denominator for 10y and 10y is 10y. So we rewrite the terms with the common denominator:
(3 + 4) / 10y = 7 / 10y
Now, we have simplified the expression to:
-3/8x + 7/10y
To simplify the expression by combining like terms, we need to combine the terms that have the same variables raised to the same power.
First, let's identify the terms with the variable x and combine them:
2/8x - 5/8x
Since both terms have the variable x raised to the first power and have the same denominators (8), we can simply combine the numerators (2 - 5) and keep the common denominator:
(2 - 5)/8x = -3/8x
Next, let's identify the terms with the variable y and combine them:
3/10y + 4/10y
Again, both terms have the variable y raised to the first power and have the same denominators (10), so we can combine the numerators:
(3 + 4)/10y = 7/10y
Now, let's put the two combined terms together:
-3/8x + 7/10y
Therefore, the simplified expression, after combining like terms, is -3/8x + 7/10y.