What is 2/10 plus 5/10?
2/10 plus 5/10 equals 7/10 (or 0.7 in decimal form). Learn the step-by-step solution to add 2/10 and 5/10 using Least Common Denominator and simplification.
Exact Answer
2/10 + 5/10 = 7/10
Simplified Fraction
7/10
Mixed Number
Proper (7/10)
Decimal Value
0.7
Percentage
70%
Step-by-Step Solution: 2/10 + 5/10
Step 1
Check the Denominators (Like Fractions)
Both fractions already share the identical denominator (10). Because these are like fractions, no conversion to a common denominator is required—we directly add their numerators while keeping the denominator 10.
2/10 + 5/10
Step 2
Add the Numerators
Now add the numerators (2 + 5 = 7) and keep the common denominator 10 unchanged.
2 + 5/10 = 7/10
Step 3
Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 7 and 10 is 1, confirming that 7/10 cannot be reduced further—it is already in its simplest irreducible form.
7/10
Step 4
Decimal & Percentage Representation
Dividing the numerator 7 by denominator 10 yields an exact terminating decimal of 0.7 (or 70%).
7 ÷ 10 = 0.7 (70%)
Visual Representation
The diagram below illustrates 2/10 plus 5/10 visually:
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=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/10 |
| Mixed Number Form | 7/10 |
| Decimal Form | 0.7 |
| Percentage | 70% |
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Frequently Asked Questions
What is 2/10 plus 5/10 as a fraction?
2/10 + 5/10 in simplest fraction form is 7/10.
What is 2/10 plus 5/10 as a decimal?
2/10 + 5/10 converted to a decimal is 0.7.
What is 2/10 plus 5/10 as a percentage?
2/10 + 5/10 expressed as a percentage is 70%.
Does 2/10 plus 5/10 result in a terminating or repeating decimal?
It results in an exact terminating decimal (0.7) because the denominator in simplest terms contains only prime factors 2 and/or 5.