What is 2/9 divided by 9/13?
2/9 divided by 9/13 equals 26/81 (or 0.320988 in decimal form). Learn the step-by-step solution to divide 2/9 and 9/13 using Least Common Denominator and simplification.
Exact Answer
2/9 ÷ 9/13 = 26/81
Simplified Fraction
26/81
Mixed Number
Proper (26/81)
Decimal Value
0.320988
Percentage
32.0988%
Step-by-Step Solution: 2/9 ÷ 9/13
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 9/13 to get 13/9.
2/9 ÷ 9/13 = 2/9 × 13/9
Step 2
Multiply the Numerators and Denominators
Multiply the new numerators (2 × 13 = 26) and denominators (9 × 9 = 81).
2 × 13/9 × 9 = 26/81
Step 3
Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 26 and 81 is 1, confirming that 26/81 cannot be reduced further—it is already in its simplest irreducible form.
26/81
Step 4
Decimal & Percentage Representation
Dividing the numerator 26 by denominator 81 produces a repeating decimal (approximately 0.320988, or 32.0988%).
26 ÷ 81 = 0.320988 (32.0988%)
Visual Representation
The diagram below illustrates 2/9 divided by 9/13 visually:
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Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 26/81 |
| Mixed Number Form | 26/81 |
| Decimal Form | 0.320988 |
| Percentage | 32.0988% |
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Frequently Asked Questions
What is 2/9 divided by 9/13 as a fraction?
2/9 ÷ 9/13 in simplest fraction form is 26/81.
What is 2/9 divided by 9/13 as a decimal?
2/9 ÷ 9/13 converted to a decimal is 0.320988.
What is 2/9 divided by 9/13 as a percentage?
2/9 ÷ 9/13 expressed as a percentage is 32.0988%.
Does 2/9 divided by 9/13 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 0.320988...) because the denominator contains prime factors other than 2 and 5.