What is 2/6 plus 6/9?
2/6 plus 6/9 equals 1 (or 1 in decimal form). Learn the step-by-step solution to add 2/6 and 6/9 using Least Common Denominator and simplification.
Exact Answer
2/6 + 6/9 = 1
Simplified Fraction
1
Mixed Number
1
Decimal Value
1
Percentage
100%
Step-by-Step Solution: 2/6 + 6/9
Step 1
Find the Least Common Denominator (LCD)
The denominators 6 and 9 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 18 (which is smaller than their product 6 × 9 = 54, keeping the calculation simpler).
LCD(6, 9) = 18
Step 2
Convert to Equivalent Fractions with Common Denominator 18
Multiply the numerator and denominator of 2/6 by 3, and multiply the numerator and denominator of 6/9 by 2 so both fractions share the common base 18.
2 × 3/6 × 3 = 6/18 and 6 × 2/9 × 2 = 12/18
Step 3
Add the Numerators
Now add the numerators (6 + 12 = 18) and keep the common denominator 18 unchanged.
6 + 12/18 = 18/18
Step 4
Simplify to an Exact Whole Number
Notice that the numerator (18) is completely divisible by the denominator (18). Dividing 18 by 18 yields the whole number 1 with zero remainder.
18/18 = 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 2/6 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 2/6 plus 6/9 as a fraction?
2/6 + 6/9 in simplest fraction form is 1.
What is 2/6 plus 6/9 as a decimal?
2/6 + 6/9 converted to a decimal is 1.
What is 2/6 plus 6/9 as a percentage?
2/6 + 6/9 expressed as a percentage is 100%.
Is the answer to 2/6 plus 6/9 a whole number?
Yes, 2/6 + 6/9 simplifies completely to the whole number 1 with no remaining fractional part.