Express the recurring decimal as a fraction in its lowest terms.
Answer and explanation
Correct answer: D.
- Step 1: Let . Multiply by powers of 10 to align the recurring decimal parts: and .
- Step 2: Subtract the equations to eliminate the recurring digits: .
- Step 3: Simplify the fraction to lowest terms by dividing numerator and denominator by their greatest common factor : .
Answer
.
Why not the others: forgets to subtract the non-recurring digit from the numerator; ignores the non-repeating tenths place; represents the non-recurring decimal .
Practise more Number, Surds, Indices and Bounds.
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