1 + 1/5 + 3.75 - (-x) = 4.5
Convert 1 + 1/5 to an improper fraction:
1 + 1/5 = 5/5 + 1/5 = 6/5
Substitute this back into the equation:
6/5 + 3.75 - (-x) = 4.5
Combine the fractions:
Convert 3.75 to a fraction:
3.75 = 3 75/100 = 3 3/4 = 15/4
Now, the equation becomes:
6/5 + 15/4 + x = 9/2
To simplify, find a common denominator for 5 and 4, which is 20:
24/20 + 75/20 + x = 90/20
99/20 + x = 90/20
Now, solve for x:
x = 90/20 - 99/20x = -9/20
Therefore, the value of x in the equation is -9/20.
1 + 1/5 + 3.75 - (-x) = 4.5
Convert 1 + 1/5 to an improper fraction:
1 + 1/5 = 5/5 + 1/5 = 6/5
Substitute this back into the equation:
6/5 + 3.75 - (-x) = 4.5
Combine the fractions:
6/5 + 3.75 - (-x) = 4.5
Convert 3.75 to a fraction:
3.75 = 3 75/100 = 3 3/4 = 15/4
Now, the equation becomes:
6/5 + 15/4 + x = 9/2
To simplify, find a common denominator for 5 and 4, which is 20:
24/20 + 75/20 + x = 90/20
Combine the fractions:
99/20 + x = 90/20
Now, solve for x:
x = 90/20 - 99/20
x = -9/20
Therefore, the value of x in the equation is -9/20.