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What is the simplest form of 30/45 is
- a)3/2
- b)1/4
- c)3/4
- d)2/3
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
What is the simplest form of 30/45 isa)3/2b)1/4c)3/4d)2/3Correct answe...
Explanation:
To find the simplest form of a fraction, we need to simplify the numerator and denominator until they have no common factors other than 1.
Step 1: Find the greatest common divisor (GCD)
The GCD of 30 and 45 can be found by listing the factors of both numbers and identifying the largest number that divides both of them evenly.
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Factors of 45: 1, 3, 5, 9, 15, 45
The largest number that appears in both lists is 15. Therefore, the GCD of 30 and 45 is 15.
Step 2: Divide both numerator and denominator by the GCD
To simplify the fraction, we divide both the numerator and denominator by the GCD.
$\frac{30}{45}$ divided by 15 gives us $\frac{2}{3}$.
Final Answer:
The simplest form of $\frac{30}{45}$ is $\frac{2}{3}$. Therefore, the correct answer is option 'D'.
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What is the simplest form of 30/45 isa)3/2b)1/4c)3/4d)2/3Correct answe...
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