Simplify the expression.
the expression negative one fifth j plus three fourths minus the expression five halves j plus seven eighths
negative 27 over 10 times j plus negative 1 over 8
27 over 10 times j plus 1 over 8
negative 23 over 10 times j minus 13 over 8
negative 23 over 10 times j plus 13 over 8
The simplified expression is negative 23 over 10 times j plus 13 over 8.
To simplify the given expression, we need to combine like terms.
The given expression is:
(-1/5)j + 3/4 - (5/2)j + 7/8
To simplify, we can start by combining the terms with "j".
(-1/5)j - (5/2)j
To combine these terms, we need to find a common denominator. In this case, the common denominator is 10.
(-2/10)j - (25/10)j
Now we can combine the "j" terms by adding or subtracting their coefficients.
(-2/10 - 25/10)j = (-27/10)j
Now, let's go back to the original expression and combine the constant terms.
3/4 + 7/8
To combine these terms, we also need a common denominator. The common denominator here is 8.
(6/8 + 7/8)
Now we can add the constant terms.
(13/8)
Finally, we can put everything together.
(-27/10)j + 13/8 is the simplified expression.
To simplify the expression:
First, simplify the expression "negative one fifth j plus three fourths":
-1/5j + 3/4
Next, simplify the expression "five halves j plus seven eighths":
5/2j + 7/8
To combine these two expressions, you need to have a common denominator. In this case, the common denominator is 20 since it is the least common multiple of 5 and 4.
So, the expression becomes:
-4/20j + 15/20 - 50/20j - 35/20
Combining like terms:
(-4j - 50j)/20 + (15 - 35)/20
Simplifying:
-54j/20 - 20/20
Converting -20/20 to the same denominator as -54j/20:
-54j/20 - 1/1
Combining the terms:
-54j/20 - 1/1
To simplify further, you can multiply both the numerator and the denominator of -1/1 by 20 to eliminate the fractions:
(-54j - 20)/20
The final simplified expression is:
(-54j - 20)/20, which can be further simplified as:
-27/10j - 1/2