What is 1/7 plus 2/7? (Answer: 3/7)

Exact Answer

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Problem: What is 1/7 plus 2/7?
Formula / Expression: 1/7 + 2/7
Final Answer: 3/7
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Step-by-Step Solution:

Step 1: Check the Denominators (Like Fractions)
Both fractions already share the identical denominator (7). Because these are like fractions, no conversion to a common denominator is required—we directly add their numerators while keeping the denominator 7.
Working: 1/7 + 2/7

Step 2: Add the Numerators
Now add the numerators (1 + 2 = 3) and keep the common denominator 7 unchanged.
Working: 1 + 2/7 = 3/7

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

Step 4: Decimal & Percentage Representation
Dividing the numerator 3 by denominator 7 produces a repeating decimal (approximately 0.428571, or 42.8571%).
Working: 3 ÷ 7 = 0.428571 (42.8571%)

Key Values:
- Simplified Fraction: 3/7
- Mixed Number Form: 3/7
- Decimal Value: 0.428571
- Percentage: 42.8571%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-1-7-plus-2-7/
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1/7 + 2/7 = 3/7

Simplified Fraction

3/7

Mixed Number

Proper (3/7)

Decimal Value

0.428571

Percentage

42.8571%

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Step-by-Step Solution: 1/7 + 2/7

Step 1

Check the Denominators (Like Fractions)

Both fractions already share the identical denominator (7). Because these are like fractions, no conversion to a common denominator is required—we directly add their numerators while keeping the denominator 7.

1/7 + 2/7

Step 2

Add the Numerators

Now add the numerators (1 + 2 = 3) and keep the common denominator 7 unchanged.

1 + 2/7 = 3/7

Step 3

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 3 and 7 is 1, confirming that 3/7 cannot be reduced further—it is already in its simplest irreducible form.

3/7

Step 4

Decimal & Percentage Representation

Dividing the numerator 3 by denominator 7 produces a repeating decimal (approximately 0.428571, or 42.8571%).

3 ÷ 7 = 0.428571 (42.8571%)

Visual Representation

The diagram below illustrates 1/7 plus 2/7 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`3/7`
Mixed Number Form	`3/7`
Decimal Form	`0.428571`
Percentage	`42.8571%`

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Frequently Asked Questions

What is 1/7 plus 2/7 as a fraction?

1/7 + 2/7 in simplest fraction form is 3/7.

What is 1/7 plus 2/7 as a decimal?

1/7 + 2/7 converted to a decimal is 0.428571.

What is 1/7 plus 2/7 as a percentage?

1/7 + 2/7 expressed as a percentage is 42.8571%.

Does 1/7 plus 2/7 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.428571...) because the denominator contains prime factors other than 2 and 5.