What is 9/27 plus 2/4? (Answer: 5/6)

Exact Answer

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Problem: What is 9/27 plus 2/4?
Formula / Expression: 9/27 + 2/4
Final Answer: 5/6
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 27 and 4 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 27 × 4 = 108.
Working: LCD(27, 4) = 108

Step 2: Convert to Equivalent Fractions with Common Denominator 108
Multiply the numerator and denominator of 9/27 by 4, and multiply the numerator and denominator of 2/4 by 27 so both fractions share the common base 108.
Working: 9 × 4/27 × 4 = 36/108 and 2 × 27/4 × 27 = 54/108

Step 3: Add the Numerators
Now add the numerators (36 + 54 = 90) and keep the common denominator 108 unchanged.
Working: 36 + 54/108 = 90/108

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 90 and 108, which is 18. Divide both the numerator and denominator by 18.
Working: 90 ÷ 18/108 ÷ 18 = 5/6

Step 5: Decimal & Percentage Representation
Dividing the numerator 5 by denominator 6 produces a repeating decimal (approximately 0.833333, or 83.3333%).
Working: 5 ÷ 6 = 0.833333 (83.3333%)

Key Values:
- Simplified Fraction: 5/6
- Mixed Number Form: 5/6
- Decimal Value: 0.833333
- Percentage: 83.3333%

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Solved with FractionsCalc:
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9/27 + 2/4 = 5/6

Simplified Fraction

5/6

Mixed Number

Proper (5/6)

Decimal Value

0.833333

Percentage

83.3333%

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Step-by-Step Solution: 9/27 + 2/4

Step 1

Find the Least Common Denominator (LCD)

The denominators 27 and 4 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 27 × 4 = 108.

LCD(27, 4) = 108

Step 2

Convert to Equivalent Fractions with Common Denominator 108

Multiply the numerator and denominator of 9/27 by 4, and multiply the numerator and denominator of 2/4 by 27 so both fractions share the common base 108.

9 × 4/27 × 4 = 36/108 and 2 × 27/4 × 27 = 54/108

Step 3

Add the Numerators

Now add the numerators (36 + 54 = 90) and keep the common denominator 108 unchanged.

36 + 54/108 = 90/108

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 90 and 108, which is 18. Divide both the numerator and denominator by 18.

90 ÷ 18/108 ÷ 18 = 5/6

Step 5

Decimal & Percentage Representation

Dividing the numerator 5 by denominator 6 produces a repeating decimal (approximately 0.833333, or 83.3333%).

5 ÷ 6 = 0.833333 (83.3333%)

Visual Representation

The diagram below illustrates 9/27 plus 2/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/6`
Mixed Number Form	`5/6`
Decimal Form	`0.833333`
Percentage	`83.3333%`

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Frequently Asked Questions

What is 9/27 plus 2/4 as a fraction?

9/27 + 2/4 in simplest fraction form is 5/6.

What is 9/27 plus 2/4 as a decimal?

9/27 + 2/4 converted to a decimal is 0.833333.

What is 9/27 plus 2/4 as a percentage?

9/27 + 2/4 expressed as a percentage is 83.3333%.

Does 9/27 plus 2/4 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.833333...) because the denominator contains prime factors other than 2 and 5.