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To solve the problem, we will follow these steps:
Now, let's work through each step:
Step 1: Convert to an improper fraction.
The mixed number can be converted as follows:
Multiply the whole number 1 by the denominator 5, and add the numerator 1:
.
So, is equivalent to .
Step 2: Multiply by .
We perform the multiplication: .
Step 3: Convert back to a mixed number.
Divide 24 by 5 to find how many whole parts there are:
with a remainder of 4.
Thus, can be expressed as .
Therefore, the solution to the problem is .
\( 4:\frac{6}{8}= \)
Because the mixed number represents one complete unit plus one-fifth. Separating the parts breaks this relationship and leads to incorrect calculations.
Use this formula: Multiply the whole number by the denominator, then add the numerator. For : (1×5)+1 = 6, so it becomes .
Convert back when your answer is an improper fraction (numerator larger than denominator). Divide 24÷5 = 4 remainder 4, giving .
Not recommended! While some shortcuts exist, converting to improper fractions first is the most reliable method that always works and prevents errors.
That's normal! Use long division. The quotient becomes the whole number, and the remainder becomes the new numerator over the original denominator.
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