What is 3/5 plus 4/5? (Answer: 7/5)

Exact Answer

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Problem: What is 3/5 plus 4/5?
Formula / Expression: 3/5 + 4/5
Final Answer: 1 2/5 (7/5)
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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: 3/5 + 4/5

Step 2: Add the Numerators
Now add the numerators (3 + 4 = 7) and keep the common denominator 5 unchanged.
Working: 3 + 4/5 = 7/5

Step 3: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 7 and 5 is 1, confirming that 7/5 cannot be reduced further—it is already in its simplest irreducible form.
Working: 7/5

Step 4: Convert Improper Fraction to a Mixed Number
Since the numerator (7) is greater than the denominator (5), divide 7 by 5: it goes in 1 whole time(s) with a remainder of 2, giving the mixed number 1 2/5.
Working: 7/5 = 1 2/5

Step 5: Decimal & Percentage Representation
Dividing the numerator 7 by denominator 5 yields an exact terminating decimal of 1.4 (or 140%).
Working: 7 ÷ 5 = 1.4 (140%)

Key Values:
- Simplified Fraction: 7/5
- Mixed Number Form: 1 2/5
- Decimal Value: 1.4
- Percentage: 140%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-3-5-plus-4-5/
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3/5 + 4/5 = 7/5

Simplified Fraction

7/5

Mixed Number

1 2/5

Decimal Value

1.4

Percentage

140%

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

3/5 + 4/5

Step 2

Add the Numerators

Now add the numerators (3 + 4 = 7) and keep the common denominator 5 unchanged.

3 + 4/5 = 7/5

Step 3

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 7 and 5 is 1, confirming that 7/5 cannot be reduced further—it is already in its simplest irreducible form.

7/5

Step 4

Convert Improper Fraction to a Mixed Number

Since the numerator (7) is greater than the denominator (5), divide 7 by 5: it goes in 1 whole time(s) with a remainder of 2, giving the mixed number 1 2/5.

7/5 = 12/5

Step 5

Decimal & Percentage Representation

Dividing the numerator 7 by denominator 5 yields an exact terminating decimal of 1.4 (or 140%).

7 ÷ 5 = 1.4 (140%)

Visual Representation

The diagram below illustrates 3/5 plus 4/5 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/5`
Mixed Number Form	`1 2/5`
Decimal Form	`1.4`
Percentage	`140%`

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Frequently Asked Questions

What is 3/5 plus 4/5 as a fraction?

3/5 + 4/5 in simplest fraction form is 7/5 (or 1 2/5 as a mixed number).

What is 3/5 plus 4/5 as a decimal?

3/5 + 4/5 converted to a decimal is 1.4.

What is 3/5 plus 4/5 as a percentage?

3/5 + 4/5 expressed as a percentage is 140%.

How do you write 3/5 plus 4/5 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 7/5 can be written as the mixed number 1 2/5.

Does 3/5 plus 4/5 result in a terminating or repeating decimal?

It results in an exact terminating decimal (1.4) because the denominator in simplest terms contains only prime factors 2 and/or 5.