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A tailor in Surat has metres of cloth and needs metre of it for each cushion cover. How many cushion covers can he make?

Class 7Rational NumbersRational Numbers
  • A3
  • B6
  • C12
  • D

Step-by-Step Solution

Number of covers = . Multiplying instead of dividing gives , which is not even a whole number of covers, and dividing only the numerators (27 ÷ 9) gives 3 while ignoring the denominators completely.
Answer: B) 6

Key idea: Standard form (simplest form)

To put a rational number in standard form:

1. If the denominator is negative, multiply both top and bottom by −1 to make it positive.
2. Divide top and bottom by their GCD.

Example: −12/−18. Make denominator positive: 12/18. GCD = 6. Divide: 2/3.

Example: 15/−20. Make denominator positive: −15/20. GCD = 5. Divide: −3/4.

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