What is 3/9 times 2/3? (Answer: 2/9)

Exact Answer

==================================================
Problem: What is 3/9 times 2/3?
Formula / Expression: 3/9 × 2/3
Final Answer: 2/9
==================================================

Step-by-Step Solution:

Step 1: Multiply the Numerators Together
Multiply the top numbers (numerators) of both fractions: 3 × 2 = 6.
Working: 3 × 2 = 6

Step 2: Multiply the Denominators Together
Multiply the bottom numbers (denominators) of both fractions: 9 × 3 = 27.
Working: 3 × 2/9 × 3 = 6/27

Step 3: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 6 and 27, which is 3. Divide both the numerator and denominator by 3.
Working: 6 ÷ 3/27 ÷ 3 = 2/9

Step 4: Decimal & Percentage Representation
Dividing the numerator 2 by denominator 9 produces a repeating decimal (approximately 0.222222, or 22.2222%).
Working: 2 ÷ 9 = 0.222222 (22.2222%)

Key Values:
- Simplified Fraction: 2/9
- Mixed Number Form: 2/9
- Decimal Value: 0.222222
- Percentage: 22.2222%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-3-9-times-2-3/
==================================================

3/9 × 2/3 = 2/9

Simplified Fraction

2/9

Mixed Number

Proper (2/9)

Decimal Value

0.222222

Percentage

22.2222%

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: 3/9 × 2/3

Step 1

Multiply the Numerators Together

Multiply the top numbers (numerators) of both fractions: 3 × 2 = 6.

3 × 2 = 6

Step 2

Multiply the Denominators Together

Multiply the bottom numbers (denominators) of both fractions: 9 × 3 = 27.

3 × 2/9 × 3 = 6/27

Step 3

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 6 and 27, which is 3. Divide both the numerator and denominator by 3.

6 ÷ 3/27 ÷ 3 = 2/9

Step 4

Decimal & Percentage Representation

Dividing the numerator 2 by denominator 9 produces a repeating decimal (approximately 0.222222, or 22.2222%).

2 ÷ 9 = 0.222222 (22.2222%)

Visual Representation

The diagram below illustrates 3/9 times 2/3 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`2/9`
Mixed Number Form	`2/9`
Decimal Form	`0.222222`
Percentage	`22.2222%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 3/9 times 2/3 as a fraction?

3/9 × 2/3 in simplest fraction form is 2/9.

What is 3/9 times 2/3 as a decimal?

3/9 × 2/3 converted to a decimal is 0.222222.

What is 3/9 times 2/3 as a percentage?

3/9 × 2/3 expressed as a percentage is 22.2222%.

Does 3/9 times 2/3 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.222222...) because the denominator contains prime factors other than 2 and 5.