What is 2/9 divided by 9/21?
2/9 divided by 9/21 equals 14/27 (or 0.518519 in decimal form). Learn the step-by-step solution to divide 2/9 and 9/21 using Least Common Denominator and simplification.
Exact Answer
2/9 ÷ 9/21 = 14/27
Simplified Fraction
14/27
Mixed Number
Proper (14/27)
Decimal Value
0.518519
Percentage
51.8519%
Step-by-Step Solution: 2/9 ÷ 9/21
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 9/21 to get 21/9.
2/9 ÷ 9/21 = 2/9 × 21/9
Step 2
Multiply the Numerators and Denominators
Multiply the new numerators (2 × 21 = 42) and denominators (9 × 9 = 81).
2 × 21/9 × 9 = 42/81
Step 3
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 42 and 81, which is 3. Divide both the numerator and denominator by 3.
42 ÷ 3/81 ÷ 3 = 14/27
Step 4
Decimal & Percentage Representation
Dividing the numerator 14 by denominator 27 produces a repeating decimal (approximately 0.518519, or 51.8519%).
14 ÷ 27 = 0.518519 (51.8519%)
Visual Representation
The diagram below illustrates 2/9 divided by 9/21 visually:
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Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 14/27 |
| Mixed Number Form | 14/27 |
| Decimal Form | 0.518519 |
| Percentage | 51.8519% |
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Frequently Asked Questions
What is 2/9 divided by 9/21 as a fraction?
2/9 ÷ 9/21 in simplest fraction form is 14/27.
What is 2/9 divided by 9/21 as a decimal?
2/9 ÷ 9/21 converted to a decimal is 0.518519.
What is 2/9 divided by 9/21 as a percentage?
2/9 ÷ 9/21 expressed as a percentage is 51.8519%.
Does 2/9 divided by 9/21 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 0.518519...) because the denominator contains prime factors other than 2 and 5.