f + 4 5/12 = 5 3/8

does 5 = 1 19/24? I don't think so and I'm confused

f + 4 5/12 = 5 3/8

f = 5 3/8 - 4 5/12
f = 5 9/24 - 4 10/24
f = 4 33/24 - 4 10/24
f = 23/24

how did you get 4 33/24? And why don't you change 4 10/24?

f = 5 9/24 - 4 10/24

We need to subtract 10 from 9, so we change 5 9/24 to 4 33/24. We subtract 1 from 4 and add 1 (24/24) to the fraction.

f = 4 33/24 - 4 10/24
f = 23/24

To solve the equation f + 4 5/12 = 5 3/8, you first want to isolate the variable f on one side of the equation. Let's go through the steps to find the solution:

1. Start with the equation: f + 4 5/12 = 5 3/8.
2. Convert the mixed numbers to improper fractions:
- 4 5/12 = (4 * 12 + 5) / 12 = 53/12.
- 5 3/8 = (5 * 8 + 3) / 8 = 43/8.
The equation now becomes: f + 53/12 = 43/8.

3. To eliminate the fractions, we need to find a common denominator for 12 and 8, which in this case is 24. Multiply both sides of the equation by 24:
24 * f + 24 * (53/12) = 24 * (43/8).

This simplifies to: 24f + 53/2 = 129/2.

4. Subtract 53/2 from both sides of the equation to isolate the variable:
24f + 53/2 - 53/2 = 129/2 - 53/2.
This becomes: 24f = 76/2.

5. Simplify the right side of the equation:
76/2 = 38.

6. Divide both sides of the equation by 24 to solve for f:
24f / 24 = 38/24.
This gives: f = 19/12.

So, the solution to the equation f + 4 5/12 = 5 3/8 is f = 19/12.

Regarding your second question, let's check if 5 is equal to 1 19/24:
1 19/24 can be converted to an improper fraction as: (1 * 24 + 19) / 24 = 43/24.
Comparing this to 5, we can see that 5 is not equal to 43/24 (1 19/24). Therefore, your intuition is correct, and they are not equal.