Math

Question Find the value of ff in the equation 48f4=6\frac{48}{f}-4=6. Give the answer as a decimal.

Studdy Solution

STEP 1

Assumptions
1. The equation given is 48f4=6\frac{48}{f}-4=6
2. We need to solve for ff
3. The solution for ff should be in decimal form

STEP 2

First, we need to isolate the fraction on one side of the equation. We can do this by adding 4 to both sides of the equation.
48f4+4=6+4\frac{48}{f}-4+4=6+4

STEP 3

Simplify the equation.
48f=10\frac{48}{f}=10

STEP 4

To solve for ff, we can multiply both sides of the equation by ff and then divide by 10.
f×48f=f×10f \times \frac{48}{f}=f \times 10

STEP 5

Simplify the equation.
48=10f48=10f

STEP 6

Now, divide both sides of the equation by 10 to solve for ff.
4810=f\frac{48}{10}=f

STEP 7

Calculate the value of ff.
f=4810=4.8f=\frac{48}{10}=4.8
The value of ff in the equation is 4.8.

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