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To solve this problem, we'll proceed with the following steps:
Let's perform these calculations:
Step 1: Multiply the numerators: .
Step 2: Multiply the denominators: .
Step 3: Form the resulting fraction: . Now, simplify the fraction
To simplify , find the greatest common divisor (GCD) of 4 and 30, which is 2.
Thus, divide both the numerator and the denominator by 2:
.
Therefore, the solution to the problem is .
\( \frac{1}{3}+\frac{1}{4}= \)
No! Multiplication is commutative, so you can multiply fractions in any order. The result will always be the same. However, multiplying from left to right helps you stay organized.
Yes, and it's often easier! You can cancel common factors between any numerator and denominator before multiplying. For example, the 2 in the first numerator cancels with the 2 in the second denominator.
List the factors of both numbers and find the largest one they share. For : factors of 4 are 1, 2, 4 and factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30. The greatest common factor is 2.
That's perfectly fine! Not all fractions can be reduced. If the numerator and denominator share no common factors other than 1, your fraction is already in lowest terms.
The × symbol tells you to multiply, not add! When you see , you're finding what fraction you get when you take 2/5 of 1/2 of 2/3.
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