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The problem requires multiplying the fractions , , and .
Step 1: Multiply the numerators.
We have: .
Step 2: Multiply the denominators.
We have: .
Step 3: Form the fraction from results of the two steps above.
The product of these fractions is .
Step 4: Simplify the fraction.
To simplify , we need to find the greatest common divisor (GCD) of 15 and 48. The GCD is 3.
Divide both the numerator and the denominator by their GCD:
.
Thus, the simplified product of the fractions is .
We can compare it against the given answer choices to confirm:
The correct answer choice is Choice 2, .
\( \frac{1}{3}+\frac{1}{4}= \)
Yes! You can simplify to first. This gives you , which is often easier to work with.
List the factors: 15 = 3 × 5, and 48 = 3 × 16. The greatest common factor they share is 3. You can also use the division method to find it systematically.
Both and are mathematically equal, but always choose the simplified form unless the problem specifically asks for an unsimplified answer.
Unlike adding or subtracting fractions, multiplication doesn't require common denominators. You simply multiply numerator × numerator and denominator × denominator!
Yes! You can cross-cancel before multiplying. For example, the 3 in the numerator can cancel with the 6 in the denominator, making the calculation easier.
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