What is 5/8 plus 5/8? (Answer: 5/4)

Exact Answer

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Problem: What is 5/8 plus 5/8?
Formula / Expression: 5/8 + 5/8
Final Answer: 1 1/4 (5/4)
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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: 5/8 + 5/8

Step 2: Add the Numerators
Now add the numerators (5 + 5 = 10) and keep the common denominator 8 unchanged.
Working: 5 + 5/8 = 10/8

Step 3: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 10 and 8, which is 2. Divide both the numerator and denominator by 2.
Working: 10 ÷ 2/8 ÷ 2 = 5/4

Step 4: Convert Improper Fraction to a Mixed Number
Since the numerator (5) is greater than the denominator (4), divide 5 by 4: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/4.
Working: 5/4 = 1 1/4

Step 5: Decimal & Percentage Representation
Dividing the numerator 5 by denominator 4 yields an exact terminating decimal of 1.25 (or 125%).
Working: 5 ÷ 4 = 1.25 (125%)

Key Values:
- Simplified Fraction: 5/4
- Mixed Number Form: 1 1/4
- Decimal Value: 1.25
- Percentage: 125%

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5/8 + 5/8 = 5/4

Simplified Fraction

5/4

Mixed Number

1 1/4

Decimal Value

1.25

Percentage

125%

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Step-by-Step Solution: 5/8 + 5/8

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.

5/8 + 5/8

Step 2

Add the Numerators

Now add the numerators (5 + 5 = 10) and keep the common denominator 8 unchanged.

5 + 5/8 = 10/8

Step 3

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 10 and 8, which is 2. Divide both the numerator and denominator by 2.

10 ÷ 2/8 ÷ 2 = 5/4

Step 4

Convert Improper Fraction to a Mixed Number

Since the numerator (5) is greater than the denominator (4), divide 5 by 4: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/4.

5/4 = 11/4

Step 5

Decimal & Percentage Representation

Dividing the numerator 5 by denominator 4 yields an exact terminating decimal of 1.25 (or 125%).

5 ÷ 4 = 1.25 (125%)

Visual Representation

The diagram below illustrates 5/8 plus 5/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/4`
Mixed Number Form	`1 1/4`
Decimal Form	`1.25`
Percentage	`125%`

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Frequently Asked Questions

What is 5/8 plus 5/8 as a fraction?

5/8 + 5/8 in simplest fraction form is 5/4 (or 1 1/4 as a mixed number).

What is 5/8 plus 5/8 as a decimal?

5/8 + 5/8 converted to a decimal is 1.25.

What is 5/8 plus 5/8 as a percentage?

5/8 + 5/8 expressed as a percentage is 125%.

How do you write 5/8 plus 5/8 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 5/4 can be written as the mixed number 1 1/4.

Does 5/8 plus 5/8 result in a terminating or repeating decimal?

It results in an exact terminating decimal (1.25) because the denominator in simplest terms contains only prime factors 2 and/or 5.