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To solve this problem, we'll multiply the given fractions step-by-step:
Step 1: Multiply the numerators and the denominators.
Numerators: .
Denominators: .
Step 2: Write the new fraction from the results of multiplying the numerators and denominators.
.
Step 3: Simplify the fraction by finding common factors in the numerator and denominator.
The greatest common divisor of 12 and 24 is 12. Divide both the numerator and the denominator by 12:
.
Therefore, the product of the fractions , , and is .
\( \frac{1}{3}+\frac{1}{4}= \)
Yes! This is actually the smart way! Notice that 4 appears in both numerator and denominator, and 3 appears twice too. Cancel these first to make the math easier.
When you multiply fractions, you're taking parts of parts. Even though 4/3 and 3/2 are greater than 1, the 1/4 at the beginning makes the final result smaller than 1.
Look for cancellation opportunities first! The 4 in cancels with the 4 in the denominator of , and the 3s cancel too. This leaves you with !
A fraction is simplified when the numerator and denominator have no common factors other than 1. Since 1 and 2 share no common factors, is fully simplified.
Yes, always! Leaving as your final answer is like stopping halfway. Simplified fractions like are cleaner and easier to understand.
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