Express 6.46 as a fraction in lowest terms.

Problem restatementConvert the terminating decimal 6.46 into a simplified fraction.

Concept/ApproachWrite 6.46 as an integer plus hundredths, then reduce the fraction by common factors.

Step-by-Step calculation 6.46 = 646/100 Divide numerator and denominator by 2: 646/100 = 323/50 323 is prime with 50 ⇒ fraction is in lowest terms

Verification/Alternative323/50 = 6 + 23/50 = 6 + 0.46 = 6.46 (exact).

Common pitfalls

• Leaving the answer as 646/100 without simplifying.

Final Answer323/50