Calculate 0.625 As A Fraction

How to Convert 0.625 to a Fraction

Converting a decimal to a fraction involves understanding the place value of the decimal digits. For 0.625, the digits are in the tenths, hundredths, and thousandths places.

For 0.625, which has three decimal places, the denominator is 10³ = 1000. Therefore, 0.625 can be written as 625/1000.

Step-by-Step Conversion

1. Identify the decimal places: 0.625 has three decimal places (hundredths, tenths, thousandths).
2. Write the decimal as a fraction with the denominator as 10³ (1000): 625/1000.
3. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).

Simplifying the Fraction

The fraction 625/1000 can be simplified by finding the GCD of 625 and 1000. The GCD is 125.

Divide both the numerator and denominator by 125:

625 ÷ 125 = 5

1000 ÷ 125 = 8

Therefore, 625/1000 simplifies to 5/8.

Verification

To verify that 5/8 equals 0.625, you can perform the division:

5 ÷ 8 = 0.625

This confirms that the conversion is correct.

Common Mistakes

• Forgetting to simplify the fraction: Always simplify fractions to their lowest terms.
• Incorrectly identifying decimal places: Ensure the denominator is 10 raised to the correct power.
• Miscounting the GCD: Double-check the GCD to avoid simplification errors.