Simplify 5/14a+−2/5c+1/8b−2/5c+3/8b+7/14a
To simplify the expression 5/14a + -2/5c + 1/8b - 2/5c + 3/8b + 7/14a, we can combine like terms.
5/14a + 7/14a = (5 + 7)/14a = 12/14a = 6/7a
-2/5c - 2/5c = (-2 - 2)/5c = -4/5c
1/8b + 3/8b = (1 + 3)/8b = 4/8b = 1/2b
Combining all the simplified terms, 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 with the same variables together:
(5/14a + 7/14a) + (-2/5c - 2/5c) + (1/8b + 3/8b)
The terms with 'a' are: (5/14a + 7/14a) which equals (12/14a) or simplified as (6/7a).
The terms with 'c' are: (-2/5c - 2/5c) which equals (-4/5c).
The terms with 'b' are: (1/8b + 3/8b) which equals (4/8b) or simplified as (1/2b).
Now we can write the simplified expression:
(6/7a) + (-4/5c) + (1/2b)
To simplify the expression (5/14a) + (−2/5c) + (1/8b) − (2/5c) + (3/8b) + (7/14a), we need to combine like terms.
Step 1: Group the terms with the same variables together.
Let's rearrange the expression to group like terms:
(5/14a + 7/14a) + (−2/5c − 2/5c) + (1/8b + 3/8b)
Step 2: Add or subtract the coefficients of like terms.
For the term with variable "a", the coefficients are 5/14 and 7/14. Adding them gives:
(5/14a + 7/14a) = 12/14a
Simplifying the fraction, 12/14 can be reduced to 6/7:
(5/14a + 7/14a) = 6/7a
For the term with variable "c", the coefficients are −2/5 and −2/5. Adding them gives:
(−2/5c − 2/5c) = −4/5c
For the term with variable "b", the coefficients are 1/8 and 3/8. Adding them gives:
(1/8b + 3/8b) = 4/8b
Simplifying the fraction, 4/8 can be reduced to 1/2:
(1/8b + 3/8b) = 1/2b
Step 3: Put the simplified terms back together.
Now, we can combine all the simplified terms:
6/7a − 4/5c + 1/2b
So, the simplified form of the expression (5/14a) + (−2/5c) + (1/8b) − (2/5c) + (3/8b) + (7/14a) is 6/7a − 4/5c + 1/2b.