What is 1/2 times 6/9?
1/2 times 6/9 equals 1/3 (or 0.333333 in decimal form). Learn the step-by-step solution to multiply 1/2 and 6/9 using Least Common Denominator and simplification.
Exact Answer
1/2 × 6/9 = 1/3
Simplified Fraction
1/3
Mixed Number
Proper (1/3)
Decimal Value
0.333333
Percentage
33.3333%
Step-by-Step Solution: 1/2 × 6/9
Step 1
Multiply the Numerators Together
Multiply the top numbers (numerators) of both fractions: 1 × 6 = 6.
1 × 6 = 6
Step 2
Multiply the Denominators Together
Multiply the bottom numbers (denominators) of both fractions: 2 × 9 = 18.
1 × 6/2 × 9 = 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 1/2 times 6/9 visually:
×
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/3 |
| Mixed Number Form | 1/3 |
| Decimal Form | 0.333333 |
| Percentage | 33.3333% |
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Frequently Asked Questions
What is 1/2 times 6/9 as a fraction?
1/2 × 6/9 in simplest fraction form is 1/3.
What is 1/2 times 6/9 as a decimal?
1/2 × 6/9 converted to a decimal is 0.333333.
What is 1/2 times 6/9 as a percentage?
1/2 × 6/9 expressed as a percentage is 33.3333%.
Does 1/2 times 6/9 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.