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Maria claims that any fraction located between 1/5 and 1/7 on a number line must have a denominator of 6.

Enter a fraction that shows Maria's claim is incorrect.

User Caprooja
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2 Answers

3 votes

Step-by-step explanation:

I want to know about exponent and surds

User David Van Staden
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1 vote

Answer: 6/35

Step-by-step explanation:

Let's rewrite each given fraction with a common denominator of 5*7 = 35.

1/5 = (1/5)*(7/7) = 7/35

1/7 = (1/7)*(5/5) = 5/35

Then we can see that 6/35 is between 5/35 and 7/35, since 6 is between 5 and 7.

Put another way: 5/35 < 6/35 < 7/35 since 5 < 6 < 7

This then means 1/7 < 6/35 < 1/5

Therefore, Maria's claim is incorrect.

User Anthony Greco
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7.1k points