# 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

1. 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: $$3 \div 20$$

2. 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.
3. 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.

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