What is 4/26 plus 3/9? (Answer: 19/39)

Exact Answer

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Problem: What is 4/26 plus 3/9?
Formula / Expression: 4/26 + 3/9
Final Answer: 19/39
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 26 and 9 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 26 × 9 = 234.
Working: LCD(26, 9) = 234

Step 2: Convert to Equivalent Fractions with Common Denominator 234
Multiply the numerator and denominator of 4/26 by 9, and multiply the numerator and denominator of 3/9 by 26 so both fractions share the common base 234.
Working: 4 × 9/26 × 9 = 36/234 and 3 × 26/9 × 26 = 78/234

Step 3: Add the Numerators
Now add the numerators (36 + 78 = 114) and keep the common denominator 234 unchanged.
Working: 36 + 78/234 = 114/234

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 114 and 234, which is 6. Divide both the numerator and denominator by 6.
Working: 114 ÷ 6/234 ÷ 6 = 19/39

Step 5: Decimal & Percentage Representation
Dividing the numerator 19 by denominator 39 produces a repeating decimal (approximately 0.487179, or 48.7179%).
Working: 19 ÷ 39 = 0.487179 (48.7179%)

Key Values:
- Simplified Fraction: 19/39
- Mixed Number Form: 19/39
- Decimal Value: 0.487179
- Percentage: 48.7179%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-4-26-plus-3-9/
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4/26 + 3/9 = 19/39

Simplified Fraction

19/39

Mixed Number

Proper (19/39)

Decimal Value

0.487179

Percentage

48.7179%

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Step-by-Step Solution: 4/26 + 3/9

Step 1

Find the Least Common Denominator (LCD)

The denominators 26 and 9 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 26 × 9 = 234.

LCD(26, 9) = 234

Step 2

Convert to Equivalent Fractions with Common Denominator 234

Multiply the numerator and denominator of 4/26 by 9, and multiply the numerator and denominator of 3/9 by 26 so both fractions share the common base 234.

4 × 9/26 × 9 = 36/234 and 3 × 26/9 × 26 = 78/234

Step 3

Add the Numerators

Now add the numerators (36 + 78 = 114) and keep the common denominator 234 unchanged.

36 + 78/234 = 114/234

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 114 and 234, which is 6. Divide both the numerator and denominator by 6.

114 ÷ 6/234 ÷ 6 = 19/39

Step 5

Decimal & Percentage Representation

Dividing the numerator 19 by denominator 39 produces a repeating decimal (approximately 0.487179, or 48.7179%).

19 ÷ 39 = 0.487179 (48.7179%)

Visual Representation

The diagram below illustrates 4/26 plus 3/9 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`19/39`
Mixed Number Form	`19/39`
Decimal Form	`0.487179`
Percentage	`48.7179%`

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Frequently Asked Questions

What is 4/26 plus 3/9 as a fraction?

4/26 + 3/9 in simplest fraction form is 19/39.

What is 4/26 plus 3/9 as a decimal?

4/26 + 3/9 converted to a decimal is 0.487179.

What is 4/26 plus 3/9 as a percentage?

4/26 + 3/9 expressed as a percentage is 48.7179%.

Does 4/26 plus 3/9 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.487179...) because the denominator contains prime factors other than 2 and 5.