What is 1/2 divided by 6/9?
1/2 divided by 6/9 equals 3/4 (or 0.75 in decimal form). Learn the step-by-step solution to divide 1/2 and 6/9 using Least Common Denominator and simplification.
Exact Answer
1/2 ÷ 6/9 = 3/4
Simplified Fraction
3/4
Mixed Number
Proper (3/4)
Decimal Value
0.75
Percentage
75%
Step-by-Step Solution: 1/2 ÷ 6/9
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 6/9 to get 9/6.
1/2 ÷ 6/9 = 1/2 × 9/6
Step 2
Multiply the Numerators and Denominators
Multiply the new numerators (1 × 9 = 9) and denominators (2 × 6 = 12).
1 × 9/2 × 6 = 9/12
Step 3
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 9 and 12, which is 3. Divide both the numerator and denominator by 3.
9 ÷ 3/12 ÷ 3 = 3/4
Step 4
Decimal & Percentage Representation
Dividing the numerator 3 by denominator 4 yields an exact terminating decimal of 0.75 (or 75%).
3 ÷ 4 = 0.75 (75%)
Visual Representation
The diagram below illustrates 1/2 divided by 6/9 visually:
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Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/4 |
| Mixed Number Form | 3/4 |
| Decimal Form | 0.75 |
| Percentage | 75% |
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Frequently Asked Questions
What is 1/2 divided by 6/9 as a fraction?
1/2 ÷ 6/9 in simplest fraction form is 3/4.
What is 1/2 divided by 6/9 as a decimal?
1/2 ÷ 6/9 converted to a decimal is 0.75.
What is 1/2 divided by 6/9 as a percentage?
1/2 ÷ 6/9 expressed as a percentage is 75%.
Does 1/2 divided by 6/9 result in a terminating or repeating decimal?
It results in an exact terminating decimal (0.75) because the denominator in simplest terms contains only prime factors 2 and/or 5.