What is 2/7 plus 6/8? (Answer: 29/28)

Exact Answer

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Problem: What is 2/7 plus 6/8?
Formula / Expression: 2/7 + 6/8
Final Answer: 1 1/28 (29/28)
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 7 and 8 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 7 × 8 = 56.
Working: LCD(7, 8) = 56

Step 2: Convert to Equivalent Fractions with Common Denominator 56
Multiply the numerator and denominator of 2/7 by 8, and multiply the numerator and denominator of 6/8 by 7 so both fractions share the common base 56.
Working: 2 × 8/7 × 8 = 16/56 and 6 × 7/8 × 7 = 42/56

Step 3: Add the Numerators
Now add the numerators (16 + 42 = 58) and keep the common denominator 56 unchanged.
Working: 16 + 42/56 = 58/56

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 58 and 56, which is 2. Divide both the numerator and denominator by 2.
Working: 58 ÷ 2/56 ÷ 2 = 29/28

Step 5: Convert Improper Fraction to a Mixed Number
Since the numerator (29) is greater than the denominator (28), divide 29 by 28: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/28.
Working: 29/28 = 1 1/28

Step 6: Decimal & Percentage Representation
Dividing the numerator 29 by denominator 28 produces a repeating decimal (approximately 1.035714, or 103.5714%).
Working: 29 ÷ 28 = 1.035714 (103.5714%)

Key Values:
- Simplified Fraction: 29/28
- Mixed Number Form: 1 1/28
- Decimal Value: 1.035714
- Percentage: 103.5714%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-7-plus-6-8/
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2/7 + 6/8 = 29/28

Simplified Fraction

29/28

Mixed Number

1 1/28

Decimal Value

1.035714

Percentage

103.5714%

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Step-by-Step Solution: 2/7 + 6/8

Step 1

Find the Least Common Denominator (LCD)

The denominators 7 and 8 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 7 × 8 = 56.

LCD(7, 8) = 56

Step 2

Convert to Equivalent Fractions with Common Denominator 56

Multiply the numerator and denominator of 2/7 by 8, and multiply the numerator and denominator of 6/8 by 7 so both fractions share the common base 56.

2 × 8/7 × 8 = 16/56 and 6 × 7/8 × 7 = 42/56

Step 3

Add the Numerators

Now add the numerators (16 + 42 = 58) and keep the common denominator 56 unchanged.

16 + 42/56 = 58/56

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 58 and 56, which is 2. Divide both the numerator and denominator by 2.

58 ÷ 2/56 ÷ 2 = 29/28

Step 5

Convert Improper Fraction to a Mixed Number

Since the numerator (29) is greater than the denominator (28), divide 29 by 28: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/28.

29/28 = 11/28

Step 6

Decimal & Percentage Representation

Dividing the numerator 29 by denominator 28 produces a repeating decimal (approximately 1.035714, or 103.5714%).

29 ÷ 28 = 1.035714 (103.5714%)

Visual Representation

The diagram below illustrates 2/7 plus 6/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`29/28`
Mixed Number Form	`1 1/28`
Decimal Form	`1.035714`
Percentage	`103.5714%`

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Frequently Asked Questions

What is 2/7 plus 6/8 as a fraction?

2/7 + 6/8 in simplest fraction form is 29/28 (or 1 1/28 as a mixed number).

What is 2/7 plus 6/8 as a decimal?

2/7 + 6/8 converted to a decimal is 1.035714.

What is 2/7 plus 6/8 as a percentage?

2/7 + 6/8 expressed as a percentage is 103.5714%.

How do you write 2/7 plus 6/8 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 29/28 can be written as the mixed number 1 1/28.

Does 2/7 plus 6/8 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 1.035714...) because the denominator contains prime factors other than 2 and 5.