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Which of the following is correct?
-
A
5/12 = 15/24
-
B
2/3= 7/10
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C
3/4= 9/12
-
D
4/8= 8/17
A
5/12 = 15/24
B
2/3= 7/10
C
3/4= 9/12
D
4/8= 8/17
The correct statement is 3/4 = 9/12.
Step-by-Step Explanation:
Let's evaluate each option:
- A) 5/12 = 15/24: To check if these fractions are equal, we can simplify 15/24. The greatest common divisor (GCD) of 15 and 24 is 3, so:
Since 5/12 is not equal to 5/8, this statement is incorrect.
- B) 2/3 = 7/10: To check if these fractions are equal, cross-multiply:
Since 20 is not equal to 21, this statement is incorrect.
- C) 3/4 = 9/12: Simplify 9/12 by dividing both the numerator and the denominator by 3:
Since 3/4 is equal to 3/4, this statement is correct.
- D) 4/8 = 8/17: Simplify 4/8 by dividing both the numerator and the denominator by 4:
Since 1/2 is not equal to 8/17, this statement is incorrect.
Final Answer:
The correct statement is C) 3/4 = 9/12.
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