Complete the following exercise:
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Complete the following exercise:
To solve this problem, let's follow these steps:
Now, let's work through each step:
Step 1: Simplify to by dividing both the numerator and the denominator by 2.
Step 2: The reciprocal of is .
Step 3: Multiply . This gives us .
Step 4: is an improper fraction. Convert it to a mixed number, .
Therefore, the solution to the division is .
\( \frac{1}{3}+\frac{1}{4}= \)
Division by a fraction is the same as multiplying by its reciprocal. Think of it this way: "How many 's fit into ?" means !
A reciprocal is a fraction flipped upside down. For , the reciprocal is . For whole numbers like 5, write it as first, then flip to get .
It's usually easier to simplify first! In this problem, simplifies to , making the multiplication simpler: .
Divide the numerator by the denominator. For : 3 ÷ 2 = 1 remainder 1, so the answer is .
Both forms are correct! and represent the same value. Check what format your teacher prefers - many prefer mixed numbers for final answers.
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