To convert any fraction like 5/9 into a decimal, divide the numerator (5) by the denominator (9). Since 9 does not divide into 5 evenly, long division produces a continuous sequence of 5s that repeats indefinitely.
Step-by-Step Long Division: How Do You Write 5 9 as a Decimal?
How Do You Write 5/9 as a Decimal?
If you are wondering, how do you write 5/9 as a decimal? without using a calculator, simply divide the top number (numerator) by the bottom number (denominator):
1. Set Up the Division:
Divide 5 by 9 (5 ÷ 9).
2. Add a Decimal Point:
Since 9 cannot go into 5, add a decimal point and a zero to make 5.0.
3. Divide:
9 goes into 50 a total of 5 times.
9 × 5 = 45.
4. Find the Remainder:
Subtract 45 from 50 to get a remainder of 5.
5. Repeat the Process:
Bring down another 0 to get 50 again. 9 goes into 50 another 5 times.
Because the remainder is always 5, the digit 5 repeats forever. Therefore, 5/9 = 0.5555..., or 0.\overline{5}.
Rounding 5/9 as a Decimal
Depending on the context of your math assignment, you may need to round 5/9 as a decimal to a specific number of decimal places:
How Do You Write 5 9 as a Decimal as a Percentage?
To turn 5/9 as a decimal into a percentage, multiply the decimal value by 100:
So, 5/9 = 55.56% (or 55.\bar{5}%).
Quick Reference Table: Ninth Fractions to Decimals
Understanding the pattern of fractions over 9 helps make mental conversions effortless:
Final Thoughts
Therefore, 5/9 as a decimal is 0.555… (the 5 repeats forever). It is a recurring decimal and not a terminating decimal. 5 ÷ 9 on a calculator or by long division gives the same result.
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