What is 2/10 plus 7/10?
2/10 plus 7/10 equals 9/10 (or 0.9 in decimal form). Learn the step-by-step solution to add 2/10 and 7/10 using Least Common Denominator and simplification.
Exact Answer
2/10 + 7/10 = 9/10
Simplified Fraction
9/10
Mixed Number
Proper (9/10)
Decimal Value
0.9
Percentage
90%
Step-by-Step Solution: 2/10 + 7/10
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 + 7/10
Step 2
Add the Numerators
Now add the numerators (2 + 7 = 9) and keep the common denominator 10 unchanged.
2 + 7/10 = 9/10
Step 3
Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 9 and 10 is 1, confirming that 9/10 cannot be reduced further—it is already in its simplest irreducible form.
9/10
Step 4
Decimal & Percentage Representation
Dividing the numerator 9 by denominator 10 yields an exact terminating decimal of 0.9 (or 90%).
9 ÷ 10 = 0.9 (90%)
Visual Representation
The diagram below illustrates 2/10 plus 7/10 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 9/10 |
| Mixed Number Form | 9/10 |
| Decimal Form | 0.9 |
| Percentage | 90% |
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Frequently Asked Questions
What is 2/10 plus 7/10 as a fraction?
2/10 + 7/10 in simplest fraction form is 9/10.
What is 2/10 plus 7/10 as a decimal?
2/10 + 7/10 converted to a decimal is 0.9.
What is 2/10 plus 7/10 as a percentage?
2/10 + 7/10 expressed as a percentage is 90%.
Does 2/10 plus 7/10 result in a terminating or repeating decimal?
It results in an exact terminating decimal (0.9) because the denominator in simplest terms contains only prime factors 2 and/or 5.