3/20 as a decimal
Understand the Problem
The question is asking us to convert the fraction 3/20 into its decimal form. This requires performing a division operation where 3 is divided by 20.
Answer
0.15
Answer for screen readers
The final answer is 0.15
Steps to Solve
-
Set up the division
To convert the fraction ( \frac{3}{20} ) to a decimal, you need to divide 3 by 20. We can write this as a division problem: $$ 3 \div 20 $$
-
Perform the division
Perform the long division where 3 is the dividend, and 20 is the divisor. Since 3 is smaller than 20, you will have a decimal.
- 20 does not go into 3, so place a 0 and a decimal point: 0.
- Add a zero to make it 30 and find how many times 20 goes into 30, which is 1 time: 0.1
- Subtract 20 from 30 to get 10 and bring down another 0 to make 100.
- 20 goes into 100 five times exactly: 0.15
- No remainder, so the long division ends here.
-
Write the result
After completing the division, we find that: $$ \frac{3}{20} = 0.15 $$
The final answer is 0.15
More Information
Some fractions convert into terminating decimals and some into repeating decimals. In this case, ( \frac{3}{20} ) converts into a terminating decimal with two digits after the decimal point.
Tips
A common mistake is not aligning the decimal points correctly when performing long division. To avoid such mistakes, make sure each step of the division is carefully aligned.
