What is 8/13 plus 4/6? (Answer: 50/39)

Exact Answer

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Problem: What is 8/13 plus 4/6?
Formula / Expression: 8/13 + 4/6
Final Answer: 1 11/39 (50/39)
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 13 and 6 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 13 × 6 = 78.
Working: LCD(13, 6) = 78

Step 2: Convert to Equivalent Fractions with Common Denominator 78
Multiply the numerator and denominator of 8/13 by 6, and multiply the numerator and denominator of 4/6 by 13 so both fractions share the common base 78.
Working: 8 × 6/13 × 6 = 48/78 and 4 × 13/6 × 13 = 52/78

Step 3: Add the Numerators
Now add the numerators (48 + 52 = 100) and keep the common denominator 78 unchanged.
Working: 48 + 52/78 = 100/78

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 100 and 78, which is 2. Divide both the numerator and denominator by 2.
Working: 100 ÷ 2/78 ÷ 2 = 50/39

Step 5: Convert Improper Fraction to a Mixed Number
Since the numerator (50) is greater than the denominator (39), divide 50 by 39: it goes in 1 whole time(s) with a remainder of 11, giving the mixed number 1 11/39.
Working: 50/39 = 1 11/39

Step 6: Decimal & Percentage Representation
Dividing the numerator 50 by denominator 39 produces a repeating decimal (approximately 1.282051, or 128.2051%).
Working: 50 ÷ 39 = 1.282051 (128.2051%)

Key Values:
- Simplified Fraction: 50/39
- Mixed Number Form: 1 11/39
- Decimal Value: 1.282051
- Percentage: 128.2051%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-8-13-plus-4-6/
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8/13 + 4/6 = 50/39

Simplified Fraction

50/39

Mixed Number

1 11/39

Decimal Value

1.282051

Percentage

128.2051%

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Step-by-Step Solution: 8/13 + 4/6

Step 1

Find the Least Common Denominator (LCD)

The denominators 13 and 6 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 13 × 6 = 78.

LCD(13, 6) = 78

Step 2

Convert to Equivalent Fractions with Common Denominator 78

Multiply the numerator and denominator of 8/13 by 6, and multiply the numerator and denominator of 4/6 by 13 so both fractions share the common base 78.

8 × 6/13 × 6 = 48/78 and 4 × 13/6 × 13 = 52/78

Step 3

Add the Numerators

Now add the numerators (48 + 52 = 100) and keep the common denominator 78 unchanged.

48 + 52/78 = 100/78

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 100 and 78, which is 2. Divide both the numerator and denominator by 2.

100 ÷ 2/78 ÷ 2 = 50/39

Step 5

Convert Improper Fraction to a Mixed Number

Since the numerator (50) is greater than the denominator (39), divide 50 by 39: it goes in 1 whole time(s) with a remainder of 11, giving the mixed number 1 11/39.

50/39 = 111/39

Step 6

Decimal & Percentage Representation

Dividing the numerator 50 by denominator 39 produces a repeating decimal (approximately 1.282051, or 128.2051%).

50 ÷ 39 = 1.282051 (128.2051%)

Visual Representation

The diagram below illustrates 8/13 plus 4/6 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`50/39`
Mixed Number Form	`1 11/39`
Decimal Form	`1.282051`
Percentage	`128.2051%`

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Frequently Asked Questions

What is 8/13 plus 4/6 as a fraction?

8/13 + 4/6 in simplest fraction form is 50/39 (or 1 11/39 as a mixed number).

What is 8/13 plus 4/6 as a decimal?

8/13 + 4/6 converted to a decimal is 1.282051.

What is 8/13 plus 4/6 as a percentage?

8/13 + 4/6 expressed as a percentage is 128.2051%.

How do you write 8/13 plus 4/6 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 50/39 can be written as the mixed number 1 11/39.

Does 8/13 plus 4/6 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 1.282051...) because the denominator contains prime factors other than 2 and 5.