What is 3/7 plus 6/7? (Answer: 9/7)

Exact Answer

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Problem: What is 3/7 plus 6/7?
Formula / Expression: 3/7 + 6/7
Final Answer: 1 2/7 (9/7)
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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: 3/7 + 6/7

Step 2: Add the Numerators
Now add the numerators (3 + 6 = 9) and keep the common denominator 7 unchanged.
Working: 3 + 6/7 = 9/7

Step 3: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 9 and 7 is 1, confirming that 9/7 cannot be reduced further—it is already in its simplest irreducible form.
Working: 9/7

Step 4: Convert Improper Fraction to a Mixed Number
Since the numerator (9) is greater than the denominator (7), divide 9 by 7: it goes in 1 whole time(s) with a remainder of 2, giving the mixed number 1 2/7.
Working: 9/7 = 1 2/7

Step 5: Decimal & Percentage Representation
Dividing the numerator 9 by denominator 7 produces a repeating decimal (approximately 1.285714, or 128.5714%).
Working: 9 ÷ 7 = 1.285714 (128.5714%)

Key Values:
- Simplified Fraction: 9/7
- Mixed Number Form: 1 2/7
- Decimal Value: 1.285714
- Percentage: 128.5714%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-3-7-plus-6-7/
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3/7 + 6/7 = 9/7

Simplified Fraction

9/7

Mixed Number

1 2/7

Decimal Value

1.285714

Percentage

128.5714%

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Step-by-Step Solution: 3/7 + 6/7

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.

3/7 + 6/7

Step 2

Add the Numerators

Now add the numerators (3 + 6 = 9) and keep the common denominator 7 unchanged.

3 + 6/7 = 9/7

Step 3

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 9 and 7 is 1, confirming that 9/7 cannot be reduced further—it is already in its simplest irreducible form.

9/7

Step 4

Convert Improper Fraction to a Mixed Number

Since the numerator (9) is greater than the denominator (7), divide 9 by 7: it goes in 1 whole time(s) with a remainder of 2, giving the mixed number 1 2/7.

9/7 = 12/7

Step 5

Decimal & Percentage Representation

Dividing the numerator 9 by denominator 7 produces a repeating decimal (approximately 1.285714, or 128.5714%).

9 ÷ 7 = 1.285714 (128.5714%)

Visual Representation

The diagram below illustrates 3/7 plus 6/7 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`9/7`
Mixed Number Form	`1 2/7`
Decimal Form	`1.285714`
Percentage	`128.5714%`

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Frequently Asked Questions

What is 3/7 plus 6/7 as a fraction?

3/7 + 6/7 in simplest fraction form is 9/7 (or 1 2/7 as a mixed number).

What is 3/7 plus 6/7 as a decimal?

3/7 + 6/7 converted to a decimal is 1.285714.

What is 3/7 plus 6/7 as a percentage?

3/7 + 6/7 expressed as a percentage is 128.5714%.

How do you write 3/7 plus 6/7 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 9/7 can be written as the mixed number 1 2/7.

Does 3/7 plus 6/7 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 1.285714...) because the denominator contains prime factors other than 2 and 5.