Question

What’s 22.5 as a fraction in simplest form

Answer 1

9/4, or 2 1/4 is your answer

Explanation:

Note that 22 is a whole number, and that 5 is a decimal.

Change the decimal into a fraction. To do so, move the decimal point to the right two place values and set the number over 100

22.5 = 225/100

Simplify.

(225/100)/(25/25) = 9/4

9/4, or 2 1/4 is your answer

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Answer 2

22.5% = 9/40 as a fraction

Step by Step Solution

To convert 22.5 percent to a fraction follow these steps:

Step 1: Write down the percent divided by 100 like this:

22.5% = 22.5/100

Step 2: 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,

22.5/100 = (22.5 x 10)/(100 x 10) = 225/1000.

Step 3: 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. So,

(225÷25)/(1000÷25) = 9/40 when reduced to the simplest form.

Explanation: