What is 4/8 plus 7/8? (Answer: 11/8)

Exact Answer

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Problem: What is 4/8 plus 7/8?
Formula / Expression: 4/8 + 7/8
Final Answer: 1 3/8 (11/8)
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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: 4/8 + 7/8

Step 2: Add the Numerators
Now add the numerators (4 + 7 = 11) and keep the common denominator 8 unchanged.
Working: 4 + 7/8 = 11/8

Step 3: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 11 and 8 is 1, confirming that 11/8 cannot be reduced further—it is already in its simplest irreducible form.
Working: 11/8

Step 4: Convert Improper Fraction to a Mixed Number
Since the numerator (11) is greater than the denominator (8), divide 11 by 8: it goes in 1 whole time(s) with a remainder of 3, giving the mixed number 1 3/8.
Working: 11/8 = 1 3/8

Step 5: Decimal & Percentage Representation
Dividing the numerator 11 by denominator 8 yields an exact terminating decimal of 1.375 (or 137.5%).
Working: 11 ÷ 8 = 1.375 (137.5%)

Key Values:
- Simplified Fraction: 11/8
- Mixed Number Form: 1 3/8
- Decimal Value: 1.375
- Percentage: 137.5%

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Solved with FractionsCalc:
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4/8 + 7/8 = 11/8

Simplified Fraction

11/8

Mixed Number

1 3/8

Decimal Value

1.375

Percentage

137.5%

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Step-by-Step Solution: 4/8 + 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.

4/8 + 7/8

Step 2

Add the Numerators

Now add the numerators (4 + 7 = 11) and keep the common denominator 8 unchanged.

4 + 7/8 = 11/8

Step 3

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 11 and 8 is 1, confirming that 11/8 cannot be reduced further—it is already in its simplest irreducible form.

11/8

Step 4

Convert Improper Fraction to a Mixed Number

Since the numerator (11) is greater than the denominator (8), divide 11 by 8: it goes in 1 whole time(s) with a remainder of 3, giving the mixed number 1 3/8.

11/8 = 13/8

Step 5

Decimal & Percentage Representation

Dividing the numerator 11 by denominator 8 yields an exact terminating decimal of 1.375 (or 137.5%).

11 ÷ 8 = 1.375 (137.5%)

Visual Representation

The diagram below illustrates 4/8 plus 7/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`11/8`
Mixed Number Form	`1 3/8`
Decimal Form	`1.375`
Percentage	`137.5%`

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Frequently Asked Questions

What is 4/8 plus 7/8 as a fraction?

4/8 + 7/8 in simplest fraction form is 11/8 (or 1 3/8 as a mixed number).

What is 4/8 plus 7/8 as a decimal?

4/8 + 7/8 converted to a decimal is 1.375.

What is 4/8 plus 7/8 as a percentage?

4/8 + 7/8 expressed as a percentage is 137.5%.

How do you write 4/8 plus 7/8 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 11/8 can be written as the mixed number 1 3/8.

Does 4/8 plus 7/8 result in a terminating or repeating decimal?

It results in an exact terminating decimal (1.375) because the denominator in simplest terms contains only prime factors 2 and/or 5.