What is 2/9 divided by 8/21?
2/9 divided by 8/21 equals 7/12 (or 0.583333 in decimal form). Learn the step-by-step solution to divide 2/9 and 8/21 using Least Common Denominator and simplification.
Exact Answer
2/9 ÷ 8/21 = 7/12
Simplified Fraction
7/12
Mixed Number
Proper (7/12)
Decimal Value
0.583333
Percentage
58.3333%
Step-by-Step Solution: 2/9 ÷ 8/21
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 8/21 to get 21/8.
2/9 ÷ 8/21 = 2/9 × 21/8
Step 2
Multiply the Numerators and Denominators
Multiply the new numerators (2 × 21 = 42) and denominators (9 × 8 = 72).
2 × 21/9 × 8 = 42/72
Step 3
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 42 and 72, which is 6. Divide both the numerator and denominator by 6.
42 ÷ 6/72 ÷ 6 = 7/12
Step 4
Decimal & Percentage Representation
Dividing the numerator 7 by denominator 12 produces a repeating decimal (approximately 0.583333, or 58.3333%).
7 ÷ 12 = 0.583333 (58.3333%)
Visual Representation
The diagram below illustrates 2/9 divided by 8/21 visually:
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Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/12 |
| Mixed Number Form | 7/12 |
| Decimal Form | 0.583333 |
| Percentage | 58.3333% |
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Frequently Asked Questions
What is 2/9 divided by 8/21 as a fraction?
2/9 ÷ 8/21 in simplest fraction form is 7/12.
What is 2/9 divided by 8/21 as a decimal?
2/9 ÷ 8/21 converted to a decimal is 0.583333.
What is 2/9 divided by 8/21 as a percentage?
2/9 ÷ 8/21 expressed as a percentage is 58.3333%.
Does 2/9 divided by 8/21 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 0.583333...) because the denominator contains prime factors other than 2 and 5.