3.5 as a Fraction

How to write 3.5 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 3.5 as a Fraction?

3.5 Decimal = 7/2 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
3.1 31/10 310%
3.2 16/5 320%
3.3 33/10 330%
3.4 17/5 340%
3.5 7/2 350%
3.6 18/5 360%
3.7 37/10 370%
3.8 19/5 380%
3.9 39/10 390%

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.