What is 3/6 plus 2/3?
3/6 plus 2/3 equals 7/6 (or 1 1/6 as a mixed number) (or 1.166667 in decimal form). Learn the step-by-step solution to add 3/6 and 2/3 using Least Common Denominator and simplification.
Exact Answer
3/6 + 2/3 = 7/6
Simplified Fraction
7/6
Mixed Number
1 1/6
Decimal Value
1.166667
Percentage
116.6667%
Step-by-Step Solution: 3/6 + 2/3
Step 1
Find the Least Common Denominator (LCD)
Notice that 6 is an exact multiple of 3 (3 × 2 = 6). The Least Common Denominator (LCD) is simply 6, meaning we only need to scale one fraction.
LCD(6, 3) = 6
Step 2
Convert to Equivalent Fractions with Common Denominator 6
Multiply the numerator and denominator of 3/6 by 1, and multiply the numerator and denominator of 2/3 by 2 so both fractions share the common base 6.
3 × 1/6 × 1 = 3/6 and 2 × 2/3 × 2 = 4/6
Step 3
Add the Numerators
Now add the numerators (3 + 4 = 7) and keep the common denominator 6 unchanged.
3 + 4/6 = 7/6
Step 4
Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 7 and 6 is 1, confirming that 7/6 cannot be reduced further—it is already in its simplest irreducible form.
7/6
Step 5
Convert Improper Fraction to a Mixed Number
Since the numerator (7) is greater than the denominator (6), divide 7 by 6: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/6.
7/6 = 11/6
Step 6
Decimal & Percentage Representation
Dividing the numerator 7 by denominator 6 produces a repeating decimal (approximately 1.166667, or 116.6667%).
7 ÷ 6 = 1.166667 (116.6667%)
Visual Representation
The diagram below illustrates 3/6 plus 2/3 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/6 |
| Mixed Number Form | 1 1/6 |
| Decimal Form | 1.166667 |
| Percentage | 116.6667% |
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Frequently Asked Questions
What is 3/6 plus 2/3 as a fraction?
3/6 + 2/3 in simplest fraction form is 7/6 (or 1 1/6 as a mixed number).
What is 3/6 plus 2/3 as a decimal?
3/6 + 2/3 converted to a decimal is 1.166667.
What is 3/6 plus 2/3 as a percentage?
3/6 + 2/3 expressed as a percentage is 116.6667%.
How do you write 3/6 plus 2/3 as a mixed number?
Because the numerator is greater than the denominator, the improper fraction 7/6 can be written as the mixed number 1 1/6.
Does 3/6 plus 2/3 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 1.166667...) because the denominator contains prime factors other than 2 and 5.