What is 4/9 divided by 1/2? (Answer: 8/9)

Exact Answer

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Problem: What is 4/9 divided by 1/2?
Formula / Expression: 4/9 ÷ 1/2
Final Answer: 8/9
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Step-by-Step Solution:

Step 1: Find the Reciprocal of the Second Fraction
Dividing by a fraction is equivalent to multiplying by its reciprocal ("Keep, Change, Flip"). Invert the second fraction 1/2 to get 2/1.
Working: 4/9 ÷ 1/2 = 4/9 × 2

Step 2: Multiply the Numerators and Denominators
Multiply the new numerators (4 × 2 = 8) and denominators (9 × 1 = 9).
Working: 4 × 2/9 × 1 = 8/9

Step 3: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 8 and 9 is 1, confirming that 8/9 cannot be reduced further—it is already in its simplest irreducible form.
Working: 8/9

Step 4: Decimal & Percentage Representation
Dividing the numerator 8 by denominator 9 produces a repeating decimal (approximately 0.888889, or 88.8889%).
Working: 8 ÷ 9 = 0.888889 (88.8889%)

Key Values:
- Simplified Fraction: 8/9
- Mixed Number Form: 8/9
- Decimal Value: 0.888889
- Percentage: 88.8889%

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Solved with FractionsCalc:
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4/9 ÷ 1/2 = 8/9

Simplified Fraction

8/9

Mixed Number

Proper (8/9)

Decimal Value

0.888889

Percentage

88.8889%

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Step-by-Step Solution: 4/9 ÷ 1/2

Step 1

Find the Reciprocal of the Second Fraction

Dividing by a fraction is equivalent to multiplying by its reciprocal ("Keep, Change, Flip"). Invert the second fraction 1/2 to get 2/1.

4/9 ÷ 1/2 = 4/9 × 2

Step 2

Multiply the Numerators and Denominators

Multiply the new numerators (4 × 2 = 8) and denominators (9 × 1 = 9).

4 × 2/9 × 1 = 8/9

Step 3

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 8 and 9 is 1, confirming that 8/9 cannot be reduced further—it is already in its simplest irreducible form.

8/9

Step 4

Decimal & Percentage Representation

Dividing the numerator 8 by denominator 9 produces a repeating decimal (approximately 0.888889, or 88.8889%).

8 ÷ 9 = 0.888889 (88.8889%)

Visual Representation

The diagram below illustrates 4/9 divided by 1/2 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`8/9`
Mixed Number Form	`8/9`
Decimal Form	`0.888889`
Percentage	`88.8889%`

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Frequently Asked Questions

What is 4/9 divided by 1/2 as a fraction?

4/9 ÷ 1/2 in simplest fraction form is 8/9.

What is 4/9 divided by 1/2 as a decimal?

4/9 ÷ 1/2 converted to a decimal is 0.888889.

What is 4/9 divided by 1/2 as a percentage?

4/9 ÷ 1/2 expressed as a percentage is 88.8889%.

Does 4/9 divided by 1/2 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.888889...) because the denominator contains prime factors other than 2 and 5.