What is 2/8 plus 6/7? (Answer: 31/28)

Exact Answer

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Problem: What is 2/8 plus 6/7?
Formula / Expression: 2/8 + 6/7
Final Answer: 1 3/28 (31/28)
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Step-by-Step Solution:

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

Step 2: Convert to Equivalent Fractions with Common Denominator 56
Multiply the numerator and denominator of 2/8 by 7, and multiply the numerator and denominator of 6/7 by 8 so both fractions share the common base 56.
Working: 2 × 7/8 × 7 = 14/56 and 6 × 8/7 × 8 = 48/56

Step 3: Add the Numerators
Now add the numerators (14 + 48 = 62) and keep the common denominator 56 unchanged.
Working: 14 + 48/56 = 62/56

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 62 and 56, which is 2. Divide both the numerator and denominator by 2.
Working: 62 ÷ 2/56 ÷ 2 = 31/28

Step 5: Convert Improper Fraction to a Mixed Number
Since the numerator (31) is greater than the denominator (28), divide 31 by 28: it goes in 1 whole time(s) with a remainder of 3, giving the mixed number 1 3/28.
Working: 31/28 = 1 3/28

Step 6: Decimal & Percentage Representation
Dividing the numerator 31 by denominator 28 produces a repeating decimal (approximately 1.107143, or 110.7143%).
Working: 31 ÷ 28 = 1.107143 (110.7143%)

Key Values:
- Simplified Fraction: 31/28
- Mixed Number Form: 1 3/28
- Decimal Value: 1.107143
- Percentage: 110.7143%

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Solved with FractionsCalc:
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2/8 + 6/7 = 31/28

Simplified Fraction

31/28

Mixed Number

1 3/28

Decimal Value

1.107143

Percentage

110.7143%

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

Step 1

Find the Least Common Denominator (LCD)

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

LCD(8, 7) = 56

Step 2

Convert to Equivalent Fractions with Common Denominator 56

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

2 × 7/8 × 7 = 14/56 and 6 × 8/7 × 8 = 48/56

Step 3

Add the Numerators

Now add the numerators (14 + 48 = 62) and keep the common denominator 56 unchanged.

14 + 48/56 = 62/56

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 62 and 56, which is 2. Divide both the numerator and denominator by 2.

62 ÷ 2/56 ÷ 2 = 31/28

Step 5

Convert Improper Fraction to a Mixed Number

Since the numerator (31) is greater than the denominator (28), divide 31 by 28: it goes in 1 whole time(s) with a remainder of 3, giving the mixed number 1 3/28.

31/28 = 13/28

Step 6

Decimal & Percentage Representation

Dividing the numerator 31 by denominator 28 produces a repeating decimal (approximately 1.107143, or 110.7143%).

31 ÷ 28 = 1.107143 (110.7143%)

Visual Representation

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

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`31/28`
Mixed Number Form	`1 3/28`
Decimal Form	`1.107143`
Percentage	`110.7143%`

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Frequently Asked Questions

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

2/8 + 6/7 in simplest fraction form is 31/28 (or 1 3/28 as a mixed number).

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

2/8 + 6/7 converted to a decimal is 1.107143.

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

2/8 + 6/7 expressed as a percentage is 110.7143%.

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

Because the numerator is greater than the denominator, the improper fraction 31/28 can be written as the mixed number 1 3/28.

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

It results in a repeating decimal (approximately 1.107143...) because the denominator contains prime factors other than 2 and 5.