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Fill up the blanks with '>','<' or'=': ...

Fill up the blanks with '>','<' or'=':
(i) `(1)/(2) square1`
(ii) `(3)/(4)square1`
(iii) `1square(6)/(7)`
(iv) `(6)/(6)square1`
(v) `(3016)/(3016)square1`
(vi) `(11)/(5)square1`

Text Solution

AI Generated Solution

The correct Answer is:
To fill in the blanks with '>', '<', or '=' for the given fractions and numbers, we will analyze each statement step by step. ### Step-by-Step Solution: 1. **(i) \( \frac{1}{2} \) and 1** - The fraction \( \frac{1}{2} \) means 1 part out of 2. Since 1 is greater than \( \frac{1}{2} \), we write: \[ \frac{1}{2} < 1 \] 2. **(ii) \( \frac{3}{4} \) and 1** - The fraction \( \frac{3}{4} \) means 3 parts out of 4. Since 1 is greater than \( \frac{3}{4} \), we write: \[ \frac{3}{4} < 1 \] 3. **(iii) 1 and \( \frac{6}{7} \)** - The fraction \( \frac{6}{7} \) means 6 parts out of 7. Since 1 is greater than \( \frac{6}{7} \), we write: \[ 1 > \frac{6}{7} \] 4. **(iv) \( \frac{6}{6} \) and 1** - The fraction \( \frac{6}{6} \) simplifies to 1 (since the numerator and denominator are equal). Therefore, we write: \[ \frac{6}{6} = 1 \] 5. **(v) \( \frac{3016}{3016} \) and 1** - The fraction \( \frac{3016}{3016} \) also simplifies to 1 (since the numerator and denominator are equal). Therefore, we write: \[ \frac{3016}{3016} = 1 \] 6. **(vi) \( \frac{11}{5} \) and 1** - The fraction \( \frac{11}{5} \) means 11 parts out of 5. Since 11 is greater than 5, \( \frac{11}{5} \) is greater than 1. Therefore, we write: \[ \frac{11}{5} > 1 \] ### Final Answers: - (i) \( \frac{1}{2} < 1 \) - (ii) \( \frac{3}{4} < 1 \) - (iii) \( 1 > \frac{6}{7} \) - (iv) \( \frac{6}{6} = 1 \) - (v) \( \frac{3016}{3016} = 1 \) - (vi) \( \frac{11}{5} > 1 \)
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