What is 3/6 plus 5/6? (Answer: 4/3)

Exact Answer

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Problem: What is 3/6 plus 5/6?
Formula / Expression: 3/6 + 5/6
Final Answer: 1 1/3 (4/3)
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Step-by-Step Solution:

Step 1: Check the Denominators (Like Fractions)
Both fractions already share the identical denominator (6). Because these are like fractions, no conversion to a common denominator is required—we directly add their numerators while keeping the denominator 6.
Working: 3/6 + 5/6

Step 2: Add the Numerators
Now add the numerators (3 + 5 = 8) and keep the common denominator 6 unchanged.
Working: 3 + 5/6 = 8/6

Step 3: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 8 and 6, which is 2. Divide both the numerator and denominator by 2.
Working: 8 ÷ 2/6 ÷ 2 = 4/3

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

Step 5: Decimal & Percentage Representation
Dividing the numerator 4 by denominator 3 produces a repeating decimal (approximately 1.333333, or 133.3333%).
Working: 4 ÷ 3 = 1.333333 (133.3333%)

Key Values:
- Simplified Fraction: 4/3
- Mixed Number Form: 1 1/3
- Decimal Value: 1.333333
- Percentage: 133.3333%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-3-6-plus-5-6/
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3/6 + 5/6 = 4/3

Simplified Fraction

4/3

Mixed Number

1 1/3

Decimal Value

1.333333

Percentage

133.3333%

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Step-by-Step Solution: 3/6 + 5/6

Step 1

Check the Denominators (Like Fractions)

Both fractions already share the identical denominator (6). Because these are like fractions, no conversion to a common denominator is required—we directly add their numerators while keeping the denominator 6.

3/6 + 5/6

Step 2

Add the Numerators

Now add the numerators (3 + 5 = 8) and keep the common denominator 6 unchanged.

3 + 5/6 = 8/6

Step 3

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 8 and 6, which is 2. Divide both the numerator and denominator by 2.

8 ÷ 2/6 ÷ 2 = 4/3

Step 4

Convert Improper Fraction to a Mixed Number

Since the numerator (4) is greater than the denominator (3), divide 4 by 3: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/3.

4/3 = 11/3

Step 5

Decimal & Percentage Representation

Dividing the numerator 4 by denominator 3 produces a repeating decimal (approximately 1.333333, or 133.3333%).

4 ÷ 3 = 1.333333 (133.3333%)

Visual Representation

The diagram below illustrates 3/6 plus 5/6 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`4/3`
Mixed Number Form	`1 1/3`
Decimal Form	`1.333333`
Percentage	`133.3333%`

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Frequently Asked Questions

What is 3/6 plus 5/6 as a fraction?

3/6 + 5/6 in simplest fraction form is 4/3 (or 1 1/3 as a mixed number).

What is 3/6 plus 5/6 as a decimal?

3/6 + 5/6 converted to a decimal is 1.333333.

What is 3/6 plus 5/6 as a percentage?

3/6 + 5/6 expressed as a percentage is 133.3333%.

How do you write 3/6 plus 5/6 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 4/3 can be written as the mixed number 1 1/3.

Does 3/6 plus 5/6 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 1.333333...) because the denominator contains prime factors other than 2 and 5.