What is 2/9 times 1/2? (Answer: 1/9)

Exact Answer

==================================================
Problem: What is 2/9 times 1/2?
Formula / Expression: 2/9 × 1/2
Final Answer: 1/9
==================================================

Step-by-Step Solution:

Step 1: Multiply the Numerators Together
Multiply the top numbers (numerators) of both fractions: 2 × 1 = 2.
Working: 2 × 1 = 2

Step 2: Multiply the Denominators Together
Multiply the bottom numbers (denominators) of both fractions: 9 × 2 = 18.
Working: 2 × 1/9 × 2 = 2/18

Step 3: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 2 and 18, which is 2. Divide both the numerator and denominator by 2.
Working: 2 ÷ 2/18 ÷ 2 = 1/9

Step 4: Decimal & Percentage Representation
Dividing the numerator 1 by denominator 9 produces a repeating decimal (approximately 0.111111, or 11.1111%).
Working: 1 ÷ 9 = 0.111111 (11.1111%)

Key Values:
- Simplified Fraction: 1/9
- Mixed Number Form: 1/9
- Decimal Value: 0.111111
- Percentage: 11.1111%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-9-times-1-2/
==================================================

2/9 × 1/2 = 1/9

Simplified Fraction

1/9

Mixed Number

Proper (1/9)

Decimal Value

0.111111

Percentage

11.1111%

Reduce / Convert Fraction:

Convert Fraction:

Enter Decimal Number:

Enter Percentage: %

What is % of

From Value: To Value:

Simplify Ratio: :

First Number: Second Number:

Find All Factors of:

Dividend: ÷ Divisor:

√ Square Root of: OR Power (x^y): ^{^}

x² + x + = 0

Number (n! & log):

Circle Radius (r):

Side a: Side b:

Angle (Degrees): °

Numbers (comma separated):

Total Items (n): Choose (r):

Decimal Number:

Number (1–3999):

Step-by-Step Solution: 2/9 × 1/2

Step 1

Multiply the Numerators Together

Multiply the top numbers (numerators) of both fractions: 2 × 1 = 2.

2 × 1 = 2

Step 2

Multiply the Denominators Together

Multiply the bottom numbers (denominators) of both fractions: 9 × 2 = 18.

2 × 1/9 × 2 = 2/18

Step 3

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 2 and 18, which is 2. Divide both the numerator and denominator by 2.

2 ÷ 2/18 ÷ 2 = 1/9

Step 4

Decimal & Percentage Representation

Dividing the numerator 1 by denominator 9 produces a repeating decimal (approximately 0.111111, or 11.1111%).

1 ÷ 9 = 0.111111 (11.1111%)

Visual Representation

The diagram below illustrates 2/9 times 1/2 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`1/9`
Mixed Number Form	`1/9`
Decimal Form	`0.111111`
Percentage	`11.1111%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/9 times 1/2 as a fraction?

2/9 × 1/2 in simplest fraction form is 1/9.

What is 2/9 times 1/2 as a decimal?

2/9 × 1/2 converted to a decimal is 0.111111.

What is 2/9 times 1/2 as a percentage?

2/9 × 1/2 expressed as a percentage is 11.1111%.

Does 2/9 times 1/2 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.111111...) because the denominator contains prime factors other than 2 and 5.