What is 2/5 plus 4/5? (Answer: 6/5)

Exact Answer

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Problem: What is 2/5 plus 4/5?
Formula / Expression: 2/5 + 4/5
Final Answer: 1 1/5 (6/5)
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Step-by-Step Solution:

Step 1: Check the Denominators (Like Fractions)
Both fractions already share the identical denominator (5). Because these are like fractions, no conversion to a common denominator is required—we directly add their numerators while keeping the denominator 5.
Working: 2/5 + 4/5

Step 2: Add the Numerators
Now add the numerators (2 + 4 = 6) and keep the common denominator 5 unchanged.
Working: 2 + 4/5 = 6/5

Step 3: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 6 and 5 is 1, confirming that 6/5 cannot be reduced further—it is already in its simplest irreducible form.
Working: 6/5

Step 4: Convert Improper Fraction to a Mixed Number
Since the numerator (6) is greater than the denominator (5), divide 6 by 5: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/5.
Working: 6/5 = 1 1/5

Step 5: Decimal & Percentage Representation
Dividing the numerator 6 by denominator 5 yields an exact terminating decimal of 1.2 (or 120%).
Working: 6 ÷ 5 = 1.2 (120%)

Key Values:
- Simplified Fraction: 6/5
- Mixed Number Form: 1 1/5
- Decimal Value: 1.2
- Percentage: 120%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-5-plus-4-5/
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2/5 + 4/5 = 6/5

Simplified Fraction

6/5

Mixed Number

1 1/5

Decimal Value

1.2

Percentage

120%

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Step-by-Step Solution: 2/5 + 4/5

Step 1

Check the Denominators (Like Fractions)

Both fractions already share the identical denominator (5). Because these are like fractions, no conversion to a common denominator is required—we directly add their numerators while keeping the denominator 5.

2/5 + 4/5

Step 2

Add the Numerators

Now add the numerators (2 + 4 = 6) and keep the common denominator 5 unchanged.

2 + 4/5 = 6/5

Step 3

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 6 and 5 is 1, confirming that 6/5 cannot be reduced further—it is already in its simplest irreducible form.

6/5

Step 4

Convert Improper Fraction to a Mixed Number

Since the numerator (6) is greater than the denominator (5), divide 6 by 5: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/5.

6/5 = 11/5

Step 5

Decimal & Percentage Representation

Dividing the numerator 6 by denominator 5 yields an exact terminating decimal of 1.2 (or 120%).

6 ÷ 5 = 1.2 (120%)

Visual Representation

The diagram below illustrates 2/5 plus 4/5 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`6/5`
Mixed Number Form	`1 1/5`
Decimal Form	`1.2`
Percentage	`120%`

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Frequently Asked Questions

What is 2/5 plus 4/5 as a fraction?

2/5 + 4/5 in simplest fraction form is 6/5 (or 1 1/5 as a mixed number).

What is 2/5 plus 4/5 as a decimal?

2/5 + 4/5 converted to a decimal is 1.2.

What is 2/5 plus 4/5 as a percentage?

2/5 + 4/5 expressed as a percentage is 120%.

How do you write 2/5 plus 4/5 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 6/5 can be written as the mixed number 1 1/5.

Does 2/5 plus 4/5 result in a terminating or repeating decimal?

It results in an exact terminating decimal (1.2) because the denominator in simplest terms contains only prime factors 2 and/or 5.