How do you simplify and make the decimal 0.225 into a fraction?

To convert the decimal 0.225 into a fraction, follow these steps:

Step 1: Write the Decimal as a Fraction

Start by expressing 0.225 as a fraction. Since there are three digits after the decimal point, you can write it as:

0.225 = 225/1000

Step 2: Simplify the Fraction

Next, simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 225 and 1000 is 25.

Divide Both Parts by the GCD

• 225 ÷ 25 = 9
• 1000 ÷ 25 = 40

Final Result

After simplification, the fraction becomes:

9/40

Thus, the decimal 0.225 can be expressed as the fraction 9/40.