Solve Equation by Adding or Subtract fraction using Addition property of Equality or Subtraction property of equality.
x-5/6 = 1/10
x-5/6 = 1/10
x = 1/10 + 5/6
x = 3/30 + 25/30
x = 28/30 = 14/15
x - 5/6 = 1/10
30(x - 5/6) =30(1/10)
30x - 25 = 3
30x - 25 + 25 = 25 + 3
30x = 28
30x/30 = 28/30
x = 28/30
x = 14/15
M+16=20
To solve the equation x - 5/6 = 1/10 using the addition property of equality or the subtraction property of equality, we'll need to isolate the variable x.
Step 1: Add 5/6 to both sides of the equation.
(x - 5/6) + 5/6 = 1/10 + 5/6
On the left side, the 5/6 and -5/6 cancel each other out, leaving us with just x.
x = 1/10 + 5/6
Step 2: Find the common denominator for the fractions on the right side of the equation, which is 30.
x = (1/10) + (5/6)
To convert 1/10 to a fraction with denominator 30, we multiply the numerator and denominator by 3.
x = (1/10) * (3/3) + (5/6)
x = 3/30 + 15/30
Step 3: Add the fractions with the same denominator.
x = (3 + 15)/30
x = 18/30
Step 4: Simplify the fraction if possible.
Both the numerator and denominator in the fraction 18/30 are divisible by 6.
x = (18/6) / (30/6)
x = 3/5
So, the solution to the equation x - 5/6 = 1/10 using the addition property of equality or subtraction property of equality is x = 3/5.