What is 4/9 times 2/3? (Answer: 8/27)

Exact Answer

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Problem: What is 4/9 times 2/3?
Formula / Expression: 4/9 × 2/3
Final Answer: 8/27
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Step-by-Step Solution:

Step 1: Multiply the Numerators Together
Multiply the top numbers (numerators) of both fractions: 4 × 2 = 8.
Working: 4 × 2 = 8

Step 2: Multiply the Denominators Together
Multiply the bottom numbers (denominators) of both fractions: 9 × 3 = 27.
Working: 4 × 2/9 × 3 = 8/27

Step 3: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 8 and 27 is 1, confirming that 8/27 cannot be reduced further—it is already in its simplest irreducible form.
Working: 8/27

Step 4: Decimal & Percentage Representation
Dividing the numerator 8 by denominator 27 produces a repeating decimal (approximately 0.296296, or 29.6296%).
Working: 8 ÷ 27 = 0.296296 (29.6296%)

Key Values:
- Simplified Fraction: 8/27
- Mixed Number Form: 8/27
- Decimal Value: 0.296296
- Percentage: 29.6296%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-4-9-times-2-3/
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4/9 × 2/3 = 8/27

Simplified Fraction

8/27

Mixed Number

Proper (8/27)

Decimal Value

0.296296

Percentage

29.6296%

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Step-by-Step Solution: 4/9 × 2/3

Step 1

Multiply the Numerators Together

Multiply the top numbers (numerators) of both fractions: 4 × 2 = 8.

4 × 2 = 8

Step 2

Multiply the Denominators Together

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

4 × 2/9 × 3 = 8/27

Step 3

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 8 and 27 is 1, confirming that 8/27 cannot be reduced further—it is already in its simplest irreducible form.

8/27

Step 4

Decimal & Percentage Representation

Dividing the numerator 8 by denominator 27 produces a repeating decimal (approximately 0.296296, or 29.6296%).

8 ÷ 27 = 0.296296 (29.6296%)

Visual Representation

The diagram below illustrates 4/9 times 2/3 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`8/27`
Mixed Number Form	`8/27`
Decimal Form	`0.296296`
Percentage	`29.6296%`

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Frequently Asked Questions

What is 4/9 times 2/3 as a fraction?

4/9 × 2/3 in simplest fraction form is 8/27.

What is 4/9 times 2/3 as a decimal?

4/9 × 2/3 converted to a decimal is 0.296296.

What is 4/9 times 2/3 as a percentage?

4/9 × 2/3 expressed as a percentage is 29.6296%.

Does 4/9 times 2/3 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.296296...) because the denominator contains prime factors other than 2 and 5.