What is 3/6 plus 8/9?
3/6 plus 8/9 equals 25/18 (or 1 7/18 as a mixed number) (or 1.388889 in decimal form). Learn the step-by-step solution to add 3/6 and 8/9 using Least Common Denominator and simplification.
Exact Answer
3/6 + 8/9 = 25/18
Simplified Fraction
25/18
Mixed Number
1 7/18
Decimal Value
1.388889
Percentage
138.8889%
Step-by-Step Solution: 3/6 + 8/9
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 3/6 by 3, and multiply the numerator and denominator of 8/9 by 2 so both fractions share the common base 18.
3 × 3/6 × 3 = 9/18 and 8 × 2/9 × 2 = 16/18
Step 3
Add the Numerators
Now add the numerators (9 + 16 = 25) and keep the common denominator 18 unchanged.
9 + 16/18 = 25/18
Step 4
Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 25 and 18 is 1, confirming that 25/18 cannot be reduced further—it is already in its simplest irreducible form.
25/18
Step 5
Convert Improper Fraction to a Mixed Number
Since the numerator (25) is greater than the denominator (18), divide 25 by 18: it goes in 1 whole time(s) with a remainder of 7, giving the mixed number 1 7/18.
25/18 = 17/18
Step 6
Decimal & Percentage Representation
Dividing the numerator 25 by denominator 18 produces a repeating decimal (approximately 1.388889, or 138.8889%).
25 ÷ 18 = 1.388889 (138.8889%)
Visual Representation
The diagram below illustrates 3/6 plus 8/9 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 25/18 |
| Mixed Number Form | 1 7/18 |
| Decimal Form | 1.388889 |
| Percentage | 138.8889% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 3/6 plus 8/9 as a fraction?
3/6 + 8/9 in simplest fraction form is 25/18 (or 1 7/18 as a mixed number).
What is 3/6 plus 8/9 as a decimal?
3/6 + 8/9 converted to a decimal is 1.388889.
What is 3/6 plus 8/9 as a percentage?
3/6 + 8/9 expressed as a percentage is 138.8889%.
How do you write 3/6 plus 8/9 as a mixed number?
Because the numerator is greater than the denominator, the improper fraction 25/18 can be written as the mixed number 1 7/18.
Does 3/6 plus 8/9 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 1.388889...) because the denominator contains prime factors other than 2 and 5.