Question

What is 22.5% written as a fraction in simplest form?​

Answer 1

9/40

Explanation:

• Write down the percent divided by 100 like this:

22.5/100

• Multiply both top and bottom by 10 for every number after the decimal point:

• As we have 1 digit after the decimal point, we multiply both numerator and denominator by 10, or, simply shift 1 decimal place to the right. So,

(22.5*10)(100*10)= 225/1000

• Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(225,1000) = 25.

225 ÷ 25/ 1000÷25 = 9/40