What is 2/41 plus 5/9?
2/41 plus 5/9 equals 223/369 (or 0.604336 in decimal form). Learn the step-by-step solution to add 2/41 and 5/9 using Least Common Denominator and simplification.
Exact Answer
2/41 + 5/9 = 223/369
Simplified Fraction
223/369
Mixed Number
Proper (223/369)
Decimal Value
0.604336
Percentage
60.4336%
Step-by-Step Solution: 2/41 + 5/9
Step 1
Find the Least Common Denominator (LCD)
The denominators 41 and 9 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 41 × 9 = 369.
LCD(41, 9) = 369
Step 2
Convert to Equivalent Fractions with Common Denominator 369
Multiply the numerator and denominator of 2/41 by 9, and multiply the numerator and denominator of 5/9 by 41 so both fractions share the common base 369.
2 × 9/41 × 9 = 18/369 and 5 × 41/9 × 41 = 205/369
Step 3
Add the Numerators
Now add the numerators (18 + 205 = 223) and keep the common denominator 369 unchanged.
18 + 205/369 = 223/369
Step 4
Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 223 and 369 is 1, confirming that 223/369 cannot be reduced further—it is already in its simplest irreducible form.
223/369
Step 5
Decimal & Percentage Representation
Dividing the numerator 223 by denominator 369 produces a repeating decimal (approximately 0.604336, or 60.4336%).
223 ÷ 369 = 0.604336 (60.4336%)
Visual Representation
The diagram below illustrates 2/41 plus 5/9 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 223/369 |
| Mixed Number Form | 223/369 |
| Decimal Form | 0.604336 |
| Percentage | 60.4336% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 2/41 plus 5/9 as a fraction?
2/41 + 5/9 in simplest fraction form is 223/369.
What is 2/41 plus 5/9 as a decimal?
2/41 + 5/9 converted to a decimal is 0.604336.
What is 2/41 plus 5/9 as a percentage?
2/41 + 5/9 expressed as a percentage is 60.4336%.
Does 2/41 plus 5/9 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 0.604336...) because the denominator contains prime factors other than 2 and 5.