Solving the Equation: 0.25(4f-3)=0.05(10f-9)
In this article, we will solve the equation 0.25(4f-3)=0.05(10f-9) step by step.
Step 1: Expand the Brackets
Let's start by expanding the brackets on both sides of the equation:
0.25(4f - 3) = 0.25(4f) - 0.25(3) 0.05(10f - 9) = 0.05(10f) - 0.05(9)
Simplified Equation
Now, let's simplify the equation:
1f - 0.75 = 0.5f - 0.45
Step 2: Add 0.75 to Both Sides
Add 0.75 to both sides of the equation to get:
1f = 0.5f + 0.3
Step 3: Subtract 0.5f from Both Sides
Subtract 0.5f from both sides of the equation to get:
0.5f = 0.3
Step 4: Divide Both Sides by 0.5
Finally, divide both sides of the equation by 0.5 to solve for f:
f = 0.3 / 0.5 f = 0.6
Answer
Therefore, the value of f is 0.6.
I hope this step-by-step solution helps you understand how to solve the equation 0.25(4f-3)=0.05(10f-9).
