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
let's look at converting numbers to percentages and angles. Converting Numbers to Percentages To convert any number (decimal or fraction) to a percentage, you multiply the number by 100 and then add the percent symbol (\%). A percentage represents a fraction out of 100. Example 1: Converting a decimal to a percentage Convert 0.75 to a percentage. 0.75 × 100\% = 75\% Example 2: Converting a fraction to a percentage Convert (3)/(4) to a percentage. First, convert the fraction to a decimal: (3)/(4) = 0.75 Then, multiply by 100\%: 0.75 × 100\% = 75\% Converting Numbers to Angles (in a circle) To convert a number representing a fraction or proportion of a whole into an angle (typically in degrees for a circle), you multiply that number by the total degrees in a full circle, which is 360^. Example 1: Converting a fraction of a circle to an angle Convert (2)/(3) of a circle to an angle in degrees. Multiply the fraction by 360^: (2)/(3) × 360^ = (720^)/(3) = 240^ Example 2: Converting a decimal proportion to an angle Convert 0.25 of a circle to an angle in degrees. Multiply the decimal by 360^: 0.25 × 360^ = 90^ Got more? Send 'em.