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To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Multiply the numerators: .
Step 2: Multiply the denominators: .
Step 3: The resulting fraction is . Now, we simplify this fraction.
To simplify , find the greatest common divisor (GCD) of 14 and 60, which is 2. Divide both the numerator and the denominator by their GCD:
.
Therefore, the solution to the problem is , which corresponds to choice 3.
\( \frac{1}{3}+\frac{1}{4}= \)
No! Unlike addition or subtraction, multiplication of fractions never requires finding a common denominator. Just multiply straight across: numerators together, denominators together.
We always get the unsimplified result first by multiplying: 1×2×7 = 14 and 3×4×5 = 60. Then we simplify by dividing both by their GCD (2) to get .
List the factors: 14 has factors 1, 2, 7, 14 and 60 has factors 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. The greatest common factor they share is 2.
Yes! You can cancel common factors diagonally. For example, the 2 in cancels with the 4, giving you to make calculations easier.
Double-check your work! Make sure you simplified correctly by finding the right GCD. If you got , you're not done - you must simplify to .
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