.15625 as a Fraction

How to write .15625 as a Fraction? Converting a decimal to a fraction involves expressing the decimal as a ratio of two numbers, with the denominator being a power of 10. The resulting fraction is usually in its simplest form, which means that the numerator and denominator have no common factors other than 1.

Step-by-Step Calculation:


What is .15625 as a Fraction?

.15625 Decimal = 5/32 as a Fraction

How to Convert Decimal to Fraction

To convert a decimal number to a fraction, follow these steps:

  • Regular Decimals: Count decimal places, write as fraction with denominator as power of 10, then simplify.
  • Repeating Decimals: Use algebraic method - multiply by powers of 10 to align repeating parts, then subtract to eliminate repetition.
  • Simplification: Find the Greatest Common Divisor (GCD) and divide both numerator and denominator by it.

Decimal to Fraction Conversion Examples

Here are some examples of decimal numbers converted to fractions:

Decimal Fraction Percentage
0.1562 781/5000 15.62%
0.15621 15621/100000 15.621%
0.15622 7811/50000 15.622%
0.15623 15623/100000 15.623%
0.15624 1953/12500 15.624%
0.15625 5/32 15.625%
0.15626 7813/50000 15.626%
0.15627 15627/100000 15.627%
0.15628 3907/25000 15.628%
0.15629 15629/100000 15.629%

Conclusion

Converting decimals to fractions is a useful skill in mathematics. Whether dealing with regular or repeating decimals, the methods outlined above provide a clear path to expressing decimals as fractions. Practice with various decimal numbers to become proficient in these conversion techniques.