This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Welcome back olabisisaka9 — missed you this week. Here is the solution for question 6: Question 6: Express 0.248 as a fraction in its lowest terms. Step 1: Write the decimal as a fraction. To convert a decimal to a fraction, place the digits after the decimal point over a power of 10 corresponding to the number of decimal places. In 0.248, there are three decimal places, so we place 248 over 1000. 0.248 = (248)/(1000) Step 2: Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor. Both 248 and 1000 are divisible by 2: (248)/(1000) = (248 ÷ 2)/(1000 ÷ 2) = (124)/(500) Both 124 and 500 are divisible by 2: (124)/(500) = (124 ÷ 2)/(500 ÷ 2) = (62)/(250) Both 62 and 250 are divisible by 2: (62)/(250) = (62 ÷ 2)/(250 ÷ 2) = (31)/(125) The number 31 is a prime number, and 125 = 5^3. Since 31 is not a factor of 125, the fraction (31)/(125) is in its lowest terms. Step 3: Compare the result with the given options. The simplified fraction is (31)/(125). This matches option C. The final answer is C. (31)/(125). Send me the next one 📸