Converting Decimals into Equivalent Numbers: Step-by-Step Guide

Converting decimals into equivalent numbers, such as fractions or percentages, can be a useful skill for various mathematical and practical applications. Follow this step-by-step guide to learn how to convert decimals into equivalent numbers:

Step 1: Determine the Decimal Fraction

Identify the decimal fraction that you want to convert. For example, let's convert the decimal 0.75.

Step 2: Express as a Fraction

To convert the decimal into a fraction:

• Write down the decimal as the numerator.
• The denominator will be a power of 10, based on the number of decimal places. For 0.75, there are two decimal places, so the denominator is 10^2 (100).
• Write the fraction in its simplest form, if needed.

For 0.75, the equivalent fraction is 75/100.

Step 3: Simplify the Fraction (Optional)

If possible, simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it. In our example, the GCD of 75 and 100 is 25. Dividing both by 25 gives the simplified fraction 3/4.

Step 4: Convert to Percentage (Optional)

If you want to express the decimal as a percentage:

• Multiply the decimal by 100.
• Add the percentage symbol (%) to the result.

For 0.75, multiplying by 100 gives 75%, which is the equivalent percentage.

Conclusion

Converting decimals into equivalent numbers involves expressing the decimal as a fraction and, if desired, simplifying it or converting it to a percentage. By following these steps, you can easily convert decimals into other forms for various mathematical and practical purposes.