What is 0.2 as a Fraction? (Convert 0.2 to Simplest Fraction: 1/5)

Exact Answer

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Problem: What is 0.2 as a Fraction?
Formula / Expression: 0.2 = 1/5
Final Answer: 1/5
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Step-by-Step Solution:

Step 1: Write the Decimal as a Fraction over 1
Start by writing the decimal number 0.2 as a fraction with 1 in the denominator, and count the number of digits after the decimal point (1 decimal place).
Working: 0.2

Step 2: Multiply Top and Bottom by 10 (10^1)
Because there is 1 digit after the decimal point, multiply both the numerator and denominator by 10 to eliminate the decimal point.
Working: 0.2 × 10 = 2/10

Step 3: Simplify Using the Greatest Common Divisor (GCD)
Find the Greatest Common Divisor (GCD) of 2 and 10, which is 2. Divide both numerator and denominator by 2 to reduce the fraction to lowest terms.
Working: 2 ÷ 2/10 ÷ 2 = 1/5

Key Values:
- Simplified Fraction: 1/5
- Mixed Number Form: 1/5
- Decimal Value: 0.2
- Percentage: 20%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-0-2-as-a-fraction/
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0.2 = 1/5

Simplified Fraction

1/5

Mixed Number

Proper (1/5)

Decimal Value

0.2

Percentage

20%

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Step-by-Step Solution: 0.2 = 1/5

Step 1

Write the Decimal as a Fraction over 1

Start by writing the decimal number 0.2 as a fraction with 1 in the denominator, and count the number of digits after the decimal point (1 decimal place).

0.2

Step 2

Multiply Top and Bottom by 10 (10^1)

Because there is 1 digit after the decimal point, multiply both the numerator and denominator by 10 to eliminate the decimal point.

0.2 × 10 = 2/10

Step 3

Simplify Using the Greatest Common Divisor (GCD)

Find the Greatest Common Divisor (GCD) of 2 and 10, which is 2. Divide both numerator and denominator by 2 to reduce the fraction to lowest terms.

2 ÷ 2/10 ÷ 2 = 1/5

Visual Representation

The diagram below illustrates 0.2 as a fraction visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`1/5`
Mixed Number Form	`1/5`
Decimal Form	`0.2`
Percentage	`20%`

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Frequently Asked Questions

What is 0.2 as a fraction in simplest form?

0.2 written as a fraction in lowest terms is 1/5.

How do you convert 0.2 to a fraction?

Write 0.2 as 2/10 by multiplying top and bottom by 10, then divide both numbers by their GCD (2) to get 1/5.

What is 0.2 as a percentage?

Multiply 0.2 by 100 to get 20%.