Which of the following is equivalent to 0.82?

Question

Quizplus · Accepted Answer

In order to determine the fractional form of the decimal, you can use two methods: 1. Multiply the number by 10 until no decimals remain in the number. In this case, you need to multiply 0.82 by 100 to "get rid of" the decimal. 0.82 x 100 = 82 2. The whole number (82) becomes your numerator. Next, the power of ten (10, 100, 1,000, etc) that you multiplied the whole number by in step 1 becomes the denominator. 0.82 --> ⁸²/₁₀₀ 3. Reduce the fraction by finding the greatest common factor between the two numbers. In this case, the greatest common factor between the numerator and denominator is 2. Next, divide both the numerator and denominator by the greatest common factor (2). ^{82 ÷ 2}⁄_{100 ÷ 2} = ⁴¹⁄₅₀ Note: You can also read the decimal out loud and write down the fractional form (e.g "Eighty-Two Hundredths"). Then, reduce the fraction by dividing both your numerator and denominator by a common factor, if possible. ⁸²⁄₁₀₀ = ⁴¹⁄₅₀

Which of the Following Is Equivalent to 0.82