What is 5/8 plus 7/8? (Answer: 3/2)

Exact Answer

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Problem: What is 5/8 plus 7/8?
Formula / Expression: 5/8 + 7/8
Final Answer: 1 1/2 (3/2)
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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 + 7/8

Step 2: Add the Numerators
Now add the numerators (5 + 7 = 12) and keep the common denominator 8 unchanged.
Working: 5 + 7/8 = 12/8

Step 3: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 12 and 8, which is 4. Divide both the numerator and denominator by 4.
Working: 12 ÷ 4/8 ÷ 4 = 3/2

Step 4: Convert Improper Fraction to a Mixed Number
Since the numerator (3) is greater than the denominator (2), divide 3 by 2: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/2.
Working: 3/2 = 1 1/2

Step 5: Decimal & Percentage Representation
Dividing the numerator 3 by denominator 2 yields an exact terminating decimal of 1.5 (or 150%).
Working: 3 ÷ 2 = 1.5 (150%)

Key Values:
- Simplified Fraction: 3/2
- Mixed Number Form: 1 1/2
- Decimal Value: 1.5
- Percentage: 150%

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Solved with FractionsCalc:
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5/8 + 7/8 = 3/2

Simplified Fraction

3/2

Mixed Number

1 1/2

Decimal Value

1.5

Percentage

150%

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

5/8 + 7/8

Step 2

Add the Numerators

Now add the numerators (5 + 7 = 12) and keep the common denominator 8 unchanged.

5 + 7/8 = 12/8

Step 3

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 12 and 8, which is 4. Divide both the numerator and denominator by 4.

12 ÷ 4/8 ÷ 4 = 3/2

Step 4

Convert Improper Fraction to a Mixed Number

Since the numerator (3) is greater than the denominator (2), divide 3 by 2: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/2.

3/2 = 11/2

Step 5

Decimal & Percentage Representation

Dividing the numerator 3 by denominator 2 yields an exact terminating decimal of 1.5 (or 150%).

3 ÷ 2 = 1.5 (150%)

Visual Representation

The diagram below illustrates 5/8 plus 7/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`3/2`
Mixed Number Form	`1 1/2`
Decimal Form	`1.5`
Percentage	`150%`

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Frequently Asked Questions

What is 5/8 plus 7/8 as a fraction?

5/8 + 7/8 in simplest fraction form is 3/2 (or 1 1/2 as a mixed number).

What is 5/8 plus 7/8 as a decimal?

5/8 + 7/8 converted to a decimal is 1.5.

What is 5/8 plus 7/8 as a percentage?

5/8 + 7/8 expressed as a percentage is 150%.

How do you write 5/8 plus 7/8 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 3/2 can be written as the mixed number 1 1/2.

Does 5/8 plus 7/8 result in a terminating or repeating decimal?

It results in an exact terminating decimal (1.5) because the denominator in simplest terms contains only prime factors 2 and/or 5.