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is to be reduced to standard form in ONE step. By which number must both the numerator and the denominator be divided?

Class 7Rational NumbersRational Numbers
  • A5
  • B15
  • C3
  • D9

Step-by-Step Solution

One step means dividing by the GCD. GCD(45, 60) = 15, giving . Dividing by only 5 leaves and dividing by only 3 leaves — both are common factors, but neither is the greatest, so the work is not finished. 9 does not divide 60 at all.
Answer: B) 15

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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Which list contains ONLY rational numbers equal to -2/7?Do 4/-7 and -12/21 name the same rational number?Which statement about the rational number -4/5 is CORRECT?Which rational number must be added to 7/-15 so that the sum is 0?Arrange -4/5, -2/3 and -7/10 in DESCENDING order (greatest first).