What is 2/9 divided by 2/3?
2/9 divided by 2/3 equals 1/3 (or 0.333333 in decimal form). Learn the step-by-step solution to divide 2/9 and 2/3 using Least Common Denominator and simplification.
Exact Answer
2/9 ÷ 2/3 = 1/3
Simplified Fraction
1/3
Mixed Number
Proper (1/3)
Decimal Value
0.333333
Percentage
33.3333%
Step-by-Step Solution: 2/9 ÷ 2/3
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 2/3 to get 3/2.
2/9 ÷ 2/3 = 2/9 × 3/2
Step 2
Multiply the Numerators and Denominators
Multiply the new numerators (2 × 3 = 6) and denominators (9 × 2 = 18).
2 × 3/9 × 2 = 6/18
Step 3
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 6 and 18, which is 6. Divide both the numerator and denominator by 6.
6 ÷ 6/18 ÷ 6 = 1/3
Step 4
Decimal & Percentage Representation
Dividing the numerator 1 by denominator 3 produces a repeating decimal (approximately 0.333333, or 33.3333%).
1 ÷ 3 = 0.333333 (33.3333%)
Visual Representation
The diagram below illustrates 2/9 divided by 2/3 visually:
÷
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/3 |
| Mixed Number Form | 1/3 |
| Decimal Form | 0.333333 |
| Percentage | 33.3333% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 2/9 divided by 2/3 as a fraction?
2/9 ÷ 2/3 in simplest fraction form is 1/3.
What is 2/9 divided by 2/3 as a decimal?
2/9 ÷ 2/3 converted to a decimal is 0.333333.
What is 2/9 divided by 2/3 as a percentage?
2/9 ÷ 2/3 expressed as a percentage is 33.3333%.
Does 2/9 divided by 2/3 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 0.333333...) because the denominator contains prime factors other than 2 and 5.