- A7
- B−1
- C1
- D−7
Step-by-Step Solution
GCD(42, 56) = 14, so . Here and , giving . Answering 7 means adding 3 + 4 with the minus sign dropped — carries the sign, not .
Answer: C) 1
The standard form of is . What is the value of ?
Class 7Rational NumbersRational Numbers
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.
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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