How do you change 0.5625 into a fraction?

To change the decimal 0.5625 into a fraction, you can follow these steps:

1. Identify the place value: The decimal 0.5625 has four decimal places. This means it is equivalent to 5625 over 10,000. So, we can write it as:

0.5625 = 5625/10000

2. Simplify the fraction: Next, we need to simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 5625 and 10000 is 125.

Now, divide both the numerator and denominator by 125:

5625 ÷ 125 = 45

10000 ÷ 125 = 80

3. Write the simplified fraction: After simplification, we get:

0.5625 = 45/80

4. Further simplification: The fraction 45/80 can be simplified further. The GCD of 45 and 80 is 5.

So, we divide again:

45 ÷ 5 = 9

80 ÷ 5 = 16

5. Final result: Thus, the decimal 0.5625 can be expressed as:

0.5625 = 9/16

In conclusion, the decimal 0.5625 converts to the fraction 9/16.