What is 9/23 plus 2/3?
9/23 plus 2/3 equals 73/69 (or 1 4/69 as a mixed number) (or 1.057971 in decimal form). Learn the step-by-step solution to add 9/23 and 2/3 using Least Common Denominator and simplification.
Exact Answer
9/23 + 2/3 = 73/69
Simplified Fraction
73/69
Mixed Number
1 4/69
Decimal Value
1.057971
Percentage
105.7971%
Step-by-Step Solution: 9/23 + 2/3
Step 1
Find the Least Common Denominator (LCD)
The denominators 23 and 3 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 23 × 3 = 69.
LCD(23, 3) = 69
Step 2
Convert to Equivalent Fractions with Common Denominator 69
Multiply the numerator and denominator of 9/23 by 3, and multiply the numerator and denominator of 2/3 by 23 so both fractions share the common base 69.
9 × 3/23 × 3 = 27/69 and 2 × 23/3 × 23 = 46/69
Step 3
Add the Numerators
Now add the numerators (27 + 46 = 73) and keep the common denominator 69 unchanged.
27 + 46/69 = 73/69
Step 4
Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 73 and 69 is 1, confirming that 73/69 cannot be reduced further—it is already in its simplest irreducible form.
73/69
Step 5
Convert Improper Fraction to a Mixed Number
Since the numerator (73) is greater than the denominator (69), divide 73 by 69: it goes in 1 whole time(s) with a remainder of 4, giving the mixed number 1 4/69.
73/69 = 14/69
Step 6
Decimal & Percentage Representation
Dividing the numerator 73 by denominator 69 produces a repeating decimal (approximately 1.057971, or 105.7971%).
73 ÷ 69 = 1.057971 (105.7971%)
Visual Representation
The diagram below illustrates 9/23 plus 2/3 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 73/69 |
| Mixed Number Form | 1 4/69 |
| Decimal Form | 1.057971 |
| Percentage | 105.7971% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 9/23 plus 2/3 as a fraction?
9/23 + 2/3 in simplest fraction form is 73/69 (or 1 4/69 as a mixed number).
What is 9/23 plus 2/3 as a decimal?
9/23 + 2/3 converted to a decimal is 1.057971.
What is 9/23 plus 2/3 as a percentage?
9/23 + 2/3 expressed as a percentage is 105.7971%.
How do you write 9/23 plus 2/3 as a mixed number?
Because the numerator is greater than the denominator, the improper fraction 73/69 can be written as the mixed number 1 4/69.
Does 9/23 plus 2/3 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 1.057971...) because the denominator contains prime factors other than 2 and 5.