What is 1/2 divided by 7/9? (Answer: 9/14)

Exact Answer

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Problem: What is 1/2 divided by 7/9?
Formula / Expression: 1/2 ÷ 7/9
Final Answer: 9/14
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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 7/9 to get 9/7.
Working: 1/2 ÷ 7/9 = 1/2 × 9/7

Step 2: Multiply the Numerators and Denominators
Multiply the new numerators (1 × 9 = 9) and denominators (2 × 7 = 14).
Working: 1 × 9/2 × 7 = 9/14

Step 3: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 9 and 14 is 1, confirming that 9/14 cannot be reduced further—it is already in its simplest irreducible form.
Working: 9/14

Step 4: Decimal & Percentage Representation
Dividing the numerator 9 by denominator 14 produces a repeating decimal (approximately 0.642857, or 64.2857%).
Working: 9 ÷ 14 = 0.642857 (64.2857%)

Key Values:
- Simplified Fraction: 9/14
- Mixed Number Form: 9/14
- Decimal Value: 0.642857
- Percentage: 64.2857%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-1-2-divided-by-7-9/
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1/2 ÷ 7/9 = 9/14

Simplified Fraction

9/14

Mixed Number

Proper (9/14)

Decimal Value

0.642857

Percentage

64.2857%

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Step-by-Step Solution: 1/2 ÷ 7/9

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 7/9 to get 9/7.

1/2 ÷ 7/9 = 1/2 × 9/7

Step 2

Multiply the Numerators and Denominators

Multiply the new numerators (1 × 9 = 9) and denominators (2 × 7 = 14).

1 × 9/2 × 7 = 9/14

Step 3

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 9 and 14 is 1, confirming that 9/14 cannot be reduced further—it is already in its simplest irreducible form.

9/14

Step 4

Decimal & Percentage Representation

Dividing the numerator 9 by denominator 14 produces a repeating decimal (approximately 0.642857, or 64.2857%).

9 ÷ 14 = 0.642857 (64.2857%)

Visual Representation

The diagram below illustrates 1/2 divided by 7/9 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`9/14`
Mixed Number Form	`9/14`
Decimal Form	`0.642857`
Percentage	`64.2857%`

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Frequently Asked Questions

What is 1/2 divided by 7/9 as a fraction?

1/2 ÷ 7/9 in simplest fraction form is 9/14.

What is 1/2 divided by 7/9 as a decimal?

1/2 ÷ 7/9 converted to a decimal is 0.642857.

What is 1/2 divided by 7/9 as a percentage?

1/2 ÷ 7/9 expressed as a percentage is 64.2857%.

Does 1/2 divided by 7/9 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.642857...) because the denominator contains prime factors other than 2 and 5.