What is 6/15 plus 2/3?
6/15 plus 2/3 equals 16/15 (or 1 1/15 as a mixed number) (or 1.066667 in decimal form). Learn the step-by-step solution to add 6/15 and 2/3 using Least Common Denominator and simplification.
Exact Answer
6/15 + 2/3 = 16/15
Simplified Fraction
16/15
Mixed Number
1 1/15
Decimal Value
1.066667
Percentage
106.6667%
Step-by-Step Solution: 6/15 + 2/3
Step 1
Find the Least Common Denominator (LCD)
Notice that 15 is an exact multiple of 3 (3 × 5 = 15). The Least Common Denominator (LCD) is simply 15, meaning we only need to scale one fraction.
LCD(15, 3) = 15
Step 2
Convert to Equivalent Fractions with Common Denominator 15
Multiply the numerator and denominator of 6/15 by 1, and multiply the numerator and denominator of 2/3 by 5 so both fractions share the common base 15.
6 × 1/15 × 1 = 6/15 and 2 × 5/3 × 5 = 10/15
Step 3
Add the Numerators
Now add the numerators (6 + 10 = 16) and keep the common denominator 15 unchanged.
6 + 10/15 = 16/15
Step 4
Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 16 and 15 is 1, confirming that 16/15 cannot be reduced further—it is already in its simplest irreducible form.
16/15
Step 5
Convert Improper Fraction to a Mixed Number
Since the numerator (16) is greater than the denominator (15), divide 16 by 15: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/15.
16/15 = 11/15
Step 6
Decimal & Percentage Representation
Dividing the numerator 16 by denominator 15 produces a repeating decimal (approximately 1.066667, or 106.6667%).
16 ÷ 15 = 1.066667 (106.6667%)
Visual Representation
The diagram below illustrates 6/15 plus 2/3 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 16/15 |
| Mixed Number Form | 1 1/15 |
| Decimal Form | 1.066667 |
| Percentage | 106.6667% |
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Frequently Asked Questions
What is 6/15 plus 2/3 as a fraction?
6/15 + 2/3 in simplest fraction form is 16/15 (or 1 1/15 as a mixed number).
What is 6/15 plus 2/3 as a decimal?
6/15 + 2/3 converted to a decimal is 1.066667.
What is 6/15 plus 2/3 as a percentage?
6/15 + 2/3 expressed as a percentage is 106.6667%.
How do you write 6/15 plus 2/3 as a mixed number?
Because the numerator is greater than the denominator, the improper fraction 16/15 can be written as the mixed number 1 1/15.
Does 6/15 plus 2/3 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 1.066667...) because the denominator contains prime factors other than 2 and 5.