Convert terminating decimal to a simplified fraction: Express 0.34 as a vulgar fraction in lowest terms.

Introduction / Context:Changing a terminating decimal to a common fraction is a foundational skill for algebra and arithmetic. The key is to place the decimal over an appropriate power of 10 and then reduce.

Given Data / Assumptions:

• Decimal: 0.34
• We want the fraction in lowest terms.

Concept / Approach:For two decimal places, write 0.34 as 34/100. Then simplify by dividing numerator and denominator by their greatest common divisor.

Step-by-Step Solution:

Verification / Alternative check:Convert back: 17/50 = 0.34 because 17 ÷ 50 = 0.34 exactly.

Why Other Options Are Wrong:18/50 and 16/50 do not equal 0.34. 19/50 equals 0.38. 34/100 is equivalent but not in lowest terms.

Common Pitfalls:Stopping at 34/100 and forgetting to reduce or dividing by an incorrect common factor.

Final Answer:17/50