What is 3/9 divided by 1/2?
3/9 divided by 1/2 equals 2/3 (or 0.666667 in decimal form). Learn the step-by-step solution to divide 3/9 and 1/2 using Least Common Denominator and simplification.
Exact Answer
3/9 ÷ 1/2 = 2/3
Simplified Fraction
2/3
Mixed Number
Proper (2/3)
Decimal Value
0.666667
Percentage
66.6667%
Step-by-Step Solution: 3/9 ÷ 1/2
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 1/2 to get 2/1.
3/9 ÷ 1/2 = 3/9 × 2
Step 2
Multiply the Numerators and Denominators
Multiply the new numerators (3 × 2 = 6) and denominators (9 × 1 = 9).
3 × 2/9 × 1 = 6/9
Step 3
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 6 and 9, which is 3. Divide both the numerator and denominator by 3.
6 ÷ 3/9 ÷ 3 = 2/3
Step 4
Decimal & Percentage Representation
Dividing the numerator 2 by denominator 3 produces a repeating decimal (approximately 0.666667, or 66.6667%).
2 ÷ 3 = 0.666667 (66.6667%)
Visual Representation
The diagram below illustrates 3/9 divided by 1/2 visually:
÷
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 2/3 |
| Mixed Number Form | 2/3 |
| Decimal Form | 0.666667 |
| Percentage | 66.6667% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 3/9 divided by 1/2 as a fraction?
3/9 ÷ 1/2 in simplest fraction form is 2/3.
What is 3/9 divided by 1/2 as a decimal?
3/9 ÷ 1/2 converted to a decimal is 0.666667.
What is 3/9 divided by 1/2 as a percentage?
3/9 ÷ 1/2 expressed as a percentage is 66.6667%.
Does 3/9 divided by 1/2 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 0.666667...) because the denominator contains prime factors other than 2 and 5.