What is 2/8 plus 7/8? (Answer: 9/8)

Exact Answer

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Problem: What is 2/8 plus 7/8?
Formula / Expression: 2/8 + 7/8
Final Answer: 1 1/8 (9/8)
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Step-by-Step Solution:

Step 1: Check the Denominators (Like Fractions)
Both fractions already share the identical denominator (8). Because these are like fractions, no conversion to a common denominator is required—we directly add their numerators while keeping the denominator 8.
Working: 2/8 + 7/8

Step 2: Add the Numerators
Now add the numerators (2 + 7 = 9) and keep the common denominator 8 unchanged.
Working: 2 + 7/8 = 9/8

Step 3: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 9 and 8 is 1, confirming that 9/8 cannot be reduced further—it is already in its simplest irreducible form.
Working: 9/8

Step 4: Convert Improper Fraction to a Mixed Number
Since the numerator (9) is greater than the denominator (8), divide 9 by 8: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/8.
Working: 9/8 = 1 1/8

Step 5: Decimal & Percentage Representation
Dividing the numerator 9 by denominator 8 yields an exact terminating decimal of 1.125 (or 112.5%).
Working: 9 ÷ 8 = 1.125 (112.5%)

Key Values:
- Simplified Fraction: 9/8
- Mixed Number Form: 1 1/8
- Decimal Value: 1.125
- Percentage: 112.5%

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Solved with FractionsCalc:
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2/8 + 7/8 = 9/8

Simplified Fraction

9/8

Mixed Number

1 1/8

Decimal Value

1.125

Percentage

112.5%

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

Step 1

Check the Denominators (Like Fractions)

Both fractions already share the identical denominator (8). Because these are like fractions, no conversion to a common denominator is required—we directly add their numerators while keeping the denominator 8.

2/8 + 7/8

Step 2

Add the Numerators

Now add the numerators (2 + 7 = 9) and keep the common denominator 8 unchanged.

2 + 7/8 = 9/8

Step 3

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 9 and 8 is 1, confirming that 9/8 cannot be reduced further—it is already in its simplest irreducible form.

9/8

Step 4

Convert Improper Fraction to a Mixed Number

Since the numerator (9) is greater than the denominator (8), divide 9 by 8: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/8.

9/8 = 11/8

Step 5

Decimal & Percentage Representation

Dividing the numerator 9 by denominator 8 yields an exact terminating decimal of 1.125 (or 112.5%).

9 ÷ 8 = 1.125 (112.5%)

Visual Representation

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

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`9/8`
Mixed Number Form	`1 1/8`
Decimal Form	`1.125`
Percentage	`112.5%`

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Frequently Asked Questions

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

2/8 + 7/8 in simplest fraction form is 9/8 (or 1 1/8 as a mixed number).

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

2/8 + 7/8 converted to a decimal is 1.125.

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

2/8 + 7/8 expressed as a percentage is 112.5%.

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

Because the numerator is greater than the denominator, the improper fraction 9/8 can be written as the mixed number 1 1/8.

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

It results in an exact terminating decimal (1.125) because the denominator in simplest terms contains only prime factors 2 and/or 5.