What is 2/27 plus 4/5?
2/27 plus 4/5 equals 118/135 (or 0.874074 in decimal form). Learn the step-by-step solution to add 2/27 and 4/5 using Least Common Denominator and simplification.
Exact Answer
2/27 + 4/5 = 118/135
Simplified Fraction
118/135
Mixed Number
Proper (118/135)
Decimal Value
0.874074
Percentage
87.4074%
Step-by-Step Solution: 2/27 + 4/5
Step 1
Find the Least Common Denominator (LCD)
The denominators 27 and 5 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 27 × 5 = 135.
LCD(27, 5) = 135
Step 2
Convert to Equivalent Fractions with Common Denominator 135
Multiply the numerator and denominator of 2/27 by 5, and multiply the numerator and denominator of 4/5 by 27 so both fractions share the common base 135.
2 × 5/27 × 5 = 10/135 and 4 × 27/5 × 27 = 108/135
Step 3
Add the Numerators
Now add the numerators (10 + 108 = 118) and keep the common denominator 135 unchanged.
10 + 108/135 = 118/135
Step 4
Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 118 and 135 is 1, confirming that 118/135 cannot be reduced further—it is already in its simplest irreducible form.
118/135
Step 5
Decimal & Percentage Representation
Dividing the numerator 118 by denominator 135 produces a repeating decimal (approximately 0.874074, or 87.4074%).
118 ÷ 135 = 0.874074 (87.4074%)
Visual Representation
The diagram below illustrates 2/27 plus 4/5 visually:
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Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 118/135 |
| Mixed Number Form | 118/135 |
| Decimal Form | 0.874074 |
| Percentage | 87.4074% |
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Frequently Asked Questions
What is 2/27 plus 4/5 as a fraction?
2/27 + 4/5 in simplest fraction form is 118/135.
What is 2/27 plus 4/5 as a decimal?
2/27 + 4/5 converted to a decimal is 0.874074.
What is 2/27 plus 4/5 as a percentage?
2/27 + 4/5 expressed as a percentage is 87.4074%.
Does 2/27 plus 4/5 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 0.874074...) because the denominator contains prime factors other than 2 and 5.