What is 1/7 plus 4/7?
1/7 plus 4/7 equals 5/7 (or 0.714286 in decimal form). Learn the step-by-step solution to add 1/7 and 4/7 using Least Common Denominator and simplification.
Exact Answer
1/7 + 4/7 = 5/7
Simplified Fraction
5/7
Mixed Number
Proper (5/7)
Decimal Value
0.714286
Percentage
71.4286%
Step-by-Step Solution: 1/7 + 4/7
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 + 4/7
Step 2
Add the Numerators
Now add the numerators (1 + 4 = 5) and keep the common denominator 7 unchanged.
1 + 4/7 = 5/7
Step 3
Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 5 and 7 is 1, confirming that 5/7 cannot be reduced further—it is already in its simplest irreducible form.
5/7
Step 4
Decimal & Percentage Representation
Dividing the numerator 5 by denominator 7 produces a repeating decimal (approximately 0.714286, or 71.4286%).
5 ÷ 7 = 0.714286 (71.4286%)
Visual Representation
The diagram below illustrates 1/7 plus 4/7 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/7 |
| Mixed Number Form | 5/7 |
| Decimal Form | 0.714286 |
| Percentage | 71.4286% |
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Frequently Asked Questions
What is 1/7 plus 4/7 as a fraction?
1/7 + 4/7 in simplest fraction form is 5/7.
What is 1/7 plus 4/7 as a decimal?
1/7 + 4/7 converted to a decimal is 0.714286.
What is 1/7 plus 4/7 as a percentage?
1/7 + 4/7 expressed as a percentage is 71.4286%.
Does 1/7 plus 4/7 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 0.714286...) because the denominator contains prime factors other than 2 and 5.