What is 4/7 plus 6/7? (Answer: 10/7)

Exact Answer

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Problem: What is 4/7 plus 6/7?
Formula / Expression: 4/7 + 6/7
Final Answer: 1 3/7 (10/7)
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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: 4/7 + 6/7

Step 2: Add the Numerators
Now add the numerators (4 + 6 = 10) and keep the common denominator 7 unchanged.
Working: 4 + 6/7 = 10/7

Step 3: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 10 and 7 is 1, confirming that 10/7 cannot be reduced further—it is already in its simplest irreducible form.
Working: 10/7

Step 4: Convert Improper Fraction to a Mixed Number
Since the numerator (10) is greater than the denominator (7), divide 10 by 7: it goes in 1 whole time(s) with a remainder of 3, giving the mixed number 1 3/7.
Working: 10/7 = 1 3/7

Step 5: Decimal & Percentage Representation
Dividing the numerator 10 by denominator 7 produces a repeating decimal (approximately 1.428571, or 142.8571%).
Working: 10 ÷ 7 = 1.428571 (142.8571%)

Key Values:
- Simplified Fraction: 10/7
- Mixed Number Form: 1 3/7
- Decimal Value: 1.428571
- Percentage: 142.8571%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-4-7-plus-6-7/
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4/7 + 6/7 = 10/7

Simplified Fraction

10/7

Mixed Number

1 3/7

Decimal Value

1.428571

Percentage

142.8571%

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Step-by-Step Solution: 4/7 + 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.

4/7 + 6/7

Step 2

Add the Numerators

Now add the numerators (4 + 6 = 10) and keep the common denominator 7 unchanged.

4 + 6/7 = 10/7

Step 3

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 10 and 7 is 1, confirming that 10/7 cannot be reduced further—it is already in its simplest irreducible form.

10/7

Step 4

Convert Improper Fraction to a Mixed Number

Since the numerator (10) is greater than the denominator (7), divide 10 by 7: it goes in 1 whole time(s) with a remainder of 3, giving the mixed number 1 3/7.

10/7 = 13/7

Step 5

Decimal & Percentage Representation

Dividing the numerator 10 by denominator 7 produces a repeating decimal (approximately 1.428571, or 142.8571%).

10 ÷ 7 = 1.428571 (142.8571%)

Visual Representation

The diagram below illustrates 4/7 plus 6/7 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`10/7`
Mixed Number Form	`1 3/7`
Decimal Form	`1.428571`
Percentage	`142.8571%`

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Frequently Asked Questions

What is 4/7 plus 6/7 as a fraction?

4/7 + 6/7 in simplest fraction form is 10/7 (or 1 3/7 as a mixed number).

What is 4/7 plus 6/7 as a decimal?

4/7 + 6/7 converted to a decimal is 1.428571.

What is 4/7 plus 6/7 as a percentage?

4/7 + 6/7 expressed as a percentage is 142.8571%.

How do you write 4/7 plus 6/7 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 10/7 can be written as the mixed number 1 3/7.

Does 4/7 plus 6/7 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 1.428571...) because the denominator contains prime factors other than 2 and 5.