Simplify the expression 1+4.25n+3/2p-(-2p)+5/4n

Step-by-step explanation:

Option A - 1 + 4.25n +\frac{3}{2}p-3 + (-2p) +\frac{5}{4} n=5.5n-\frac{1}{2}p-21+4.25n+

2

3

p−3+(−2p)+

4

5

n=5.5n−

2

1

p−2

Step-by-step explanation:

Given : Expression 1 + 4.25n +\frac{3}{2}p-3 + (-2p) +\frac{5}{4} n1+4.25n+

2

3

p−3+(−2p)+

4

5

n

To find : Simplify the expression ?

Solution :

Expression 1 + 4.25n +\frac{3}{2}p-3 + (-2p) +\frac{5}{4} n1+4.25n+

2

3

p−3+(−2p)+

4

5

n

Take like terms together,

=4.25n +\frac{5}{4} n+\frac{3}{2}p-2p+1-3=4.25n+

4

5

n+

2

3

p−2p+1−3

=\frac{17n+5n}{4}+\frac{3p-4p}{2}+1-3=

4

17n+5n

+

2

3p−4p

+1−3

=\frac{22n}{4}+\frac{-p}{2}+(-2)=

4

22n

+

2

−p

+(−2)

=\frac{11n}{2}-\frac{p}{2}-2=

2

11n

−

2

p

−2

=5.5n-\frac{1}{2}p-2=5.5n−

2

1

p−2

Therefore, 1 + 4.25n +\frac{3}{2}p-3 + (-2p) +\frac{5}{4} n=5.5n-\frac{1}{2}p-21+4.25n+

2

3

p−3+(−2p)+

4

5

n=5.5n−

2

1

p−2

So, Option A is correct

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step-by-step explanation: