What is 2/9 divided by 6/21?
2/9 divided by 6/21 equals 7/9 (or 0.777778 in decimal form). Learn the step-by-step solution to divide 2/9 and 6/21 using Least Common Denominator and simplification.
Exact Answer
2/9 ÷ 6/21 = 7/9
Simplified Fraction
7/9
Mixed Number
Proper (7/9)
Decimal Value
0.777778
Percentage
77.7778%
Step-by-Step Solution: 2/9 ÷ 6/21
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 6/21 to get 21/6.
2/9 ÷ 6/21 = 2/9 × 21/6
Step 2
Multiply the Numerators and Denominators
Multiply the new numerators (2 × 21 = 42) and denominators (9 × 6 = 54).
2 × 21/9 × 6 = 42/54
Step 3
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 42 and 54, which is 6. Divide both the numerator and denominator by 6.
42 ÷ 6/54 ÷ 6 = 7/9
Step 4
Decimal & Percentage Representation
Dividing the numerator 7 by denominator 9 produces a repeating decimal (approximately 0.777778, or 77.7778%).
7 ÷ 9 = 0.777778 (77.7778%)
Visual Representation
The diagram below illustrates 2/9 divided by 6/21 visually:
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Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/9 |
| Mixed Number Form | 7/9 |
| Decimal Form | 0.777778 |
| Percentage | 77.7778% |
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Frequently Asked Questions
What is 2/9 divided by 6/21 as a fraction?
2/9 ÷ 6/21 in simplest fraction form is 7/9.
What is 2/9 divided by 6/21 as a decimal?
2/9 ÷ 6/21 converted to a decimal is 0.777778.
What is 2/9 divided by 6/21 as a percentage?
2/9 ÷ 6/21 expressed as a percentage is 77.7778%.
Does 2/9 divided by 6/21 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 0.777778...) because the denominator contains prime factors other than 2 and 5.