The decimal number 0.52 in the simplest form is 13/25.
Given data:
The decimal number is represented as 0.52
To express 0.52 in simplest form, convert the decimal to a fraction.
The decimal 0.52 can be written as 52/100 because there are 52 hundredths in the decimal representation.
To simplify this fraction further, divide both the numerator and denominator by their greatest common divisor (GCD), which is 4:
52/100 = (52/4) / (100/4)
(52/4) / (100/4) = 13/25
Hence, 0.52 in simplest form is 13/25.
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Simplifying
3X + 10 = 6X + 40
Reorder the terms:
10 + 3X = 6X + 40
Reorder the terms:
10 + 3X = 40 + 6X
Solving
10 + 3X = 40 + 6X
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-6X' to each side of the equation.
10 + 3X + -6X = 40 + 6X + -6X
Combine like terms: 3X + -6X = -3X
10 + -3X = 40 + 6X + -6X
Combine like terms: 6X + -6X = 0
10 + -3X = 40 + 0
10 + -3X = 40
Add '-10' to each side of the equation.
10 + -10 + -3X = 40 + -10
Combine like terms: 10 + -10 = 0
0 + -3X = 40 + -10
-3X = 40 + -10
Combine like terms: 40 + -10 = 30
-3X = 30
Divide each side by '-3'.
X = -10
Simplifying
X = -10