What is 1/3 plus 6/9?
1/3 plus 6/9 equals 1 (or 1 in decimal form). Learn the step-by-step solution to add 1/3 and 6/9 using Least Common Denominator and simplification.
Exact Answer
1/3 + 6/9 = 1
Simplified Fraction
1
Mixed Number
1
Decimal Value
1
Percentage
100%
Step-by-Step Solution: 1/3 + 6/9
Step 1
Find the Least Common Denominator (LCD)
Notice that 9 is an exact multiple of 3 (3 × 3 = 9). The Least Common Denominator (LCD) is simply 9, meaning we only need to scale one fraction.
LCD(3, 9) = 9
Step 2
Convert to Equivalent Fractions with Common Denominator 9
Multiply the numerator and denominator of 1/3 by 3, and multiply the numerator and denominator of 6/9 by 1 so both fractions share the common base 9.
1 × 3/3 × 3 = 3/9 and 6 × 1/9 × 1 = 6/9
Step 3
Add the Numerators
Now add the numerators (3 + 6 = 9) and keep the common denominator 9 unchanged.
3 + 6/9 = 9/9
Step 4
Simplify to an Exact Whole Number
Notice that the numerator (9) is completely divisible by the denominator (9). Dividing 9 by 9 yields the whole number 1 with zero remainder.
9/9 = 1
Step 5
Decimal & Percentage Representation
Dividing the numerator 1 by denominator 1 yields an exact terminating decimal of 1 (or 100%).
1 ÷ 1 = 1 (100%)
Visual Representation
The diagram below illustrates 1/3 plus 6/9 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1 |
| Mixed Number Form | 1 |
| Decimal Form | 1 |
| Percentage | 100% |
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Frequently Asked Questions
What is 1/3 plus 6/9 as a fraction?
1/3 + 6/9 in simplest fraction form is 1.
What is 1/3 plus 6/9 as a decimal?
1/3 + 6/9 converted to a decimal is 1.
What is 1/3 plus 6/9 as a percentage?
1/3 + 6/9 expressed as a percentage is 100%.
Is the answer to 1/3 plus 6/9 a whole number?
Yes, 1/3 + 6/9 simplifies completely to the whole number 1 with no remaining fractional part.