Simplify 5/14a+−2/5c+1/8b−2/5c+3/8b+7/14a .
To simplify the expression, we can combine the like terms. The expression can be rewritten as:
(5/14a + 7/14a) + (-2/5c - 2/5c) + (1/8b + 3/8b)
This becomes:
(12/14a) + (-4/5c) + (4/8b)
Simplifying further, we get:
(6/7a) + (-4/5c) + (1/2b)
To simplify the expression 5/14a+−2/5c+1/8b−2/5c+3/8b+7/14a, we can combine like terms.
First, let's group the terms that have the same variable:
5/14a + 7/14a = (5/14 + 7/14)a
= (12/14)a
= (6/7)a
Now, let's group the terms with 'b':
1/8b + 3/8b = (1/8 + 3/8)b
= (4/8)b
= (1/2)b
Next, let's group the terms with 'c':
-2/5c + -2/5c = (-2/5 - 2/5)c
= (-4/5)c
Now, we can rewrite the expression with the simplified terms:
(6/7)a + (1/2)b - (4/5)c
And this is the simplified form of the given expression.
To simplify the expression (5/14a) + (-2/5c) + (1/8b) - (2/5c) + (3/8b) + (7/14a), we can combine like terms.
First, let's regroup the terms with variables 'a', 'b', and 'c':
(5/14a) + (7/14a) + (-2/5c) + (-2/5c) + (1/8b) + (3/8b)
Combine the numerators of the terms with 'a' variable:
(5 + 7)/14a + (-2/5c) + (-2/5c) + (1/8b) + (3/8b)
Simplify the numerator:
12/14a + (-2/5c) + (-2/5c) + (1/8b) + (3/8b)
Now, combine the numerators of the terms with 'b' variable:
12/14a + (-2/5c) + (-2/5c) + (1+3)/8b
Simplify the numerator:
12/14a + (-2/5c) + (-2/5c) + 4/8b
Simplify the fractions:
6/7a + (-4/5c) + (-4/5c) + 1/2b
Combine the terms with 'c' and 'b' variables:
6/7a + (-8/5c) + 1/2b
This is the simplified expression.