Which of the following fractions is equivalent to 7/8?

Rationale

35/40 is equivalent to 7/8.

To determine equivalency, we can simplify the fraction 35/40. By dividing both the numerator and denominator by their greatest common divisor, which is 5, we find that 35/40 simplifies to 7/8, confirming their equivalence.

A (17/18) YOUR ANSWER

The fraction 17/18 cannot be simplified to 7/8. When comparing these two, we observe that 17/18 is slightly greater than 7/8, as converting both to a decimal shows 17/18 equals approximately 0.944, while 7/8 equals 0.875.

B (1 1/7) YOUR ANSWER

The mixed number 1 1/7 can be converted to an improper fraction, resulting in 8/7. This value is greater than 1, and when compared to 7/8, it does not represent a fraction equivalent to it. Thus, 1 1/7 is not equal to 7/8.

C (49/64) YOUR ANSWER

The fraction 49/64 is less than 7/8 when evaluated. By converting both to decimals, 49/64 equals approximately 0.765, which is significantly lower than 0.875 for 7/8, confirming they are not equivalent fractions.

D (35/40) CORRECT

The fraction 35/40 simplifies to 7/8, making it equivalent to the original fraction. This relationship is verified through division by the greatest common divisor, as discussed above.

Conclusion

To summarize, the equivalence of fractions can be established through simplification and comparison. Among the options provided, 35/40 stands out as the only fraction that can be simplified to 7/8, while the others either exceed or fall short of this value. Understanding such relationships is crucial for accurate fraction operations and comparisons in mathematics.

Which of the following fractions is equivalent to 7/8?

35/40 is equivalent to 7/8.

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