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Exact Answer
2/10 + 9/10 = 11/10
Simplified Fraction
11/10
Mixed Number
1 1/10
Decimal Value
1.1
Percentage
110%

Step-by-Step Solution: 2/10 + 9/10

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 + 9/10
Step 2

Add the Numerators

Now add the numerators (2 + 9 = 11) and keep the common denominator 10 unchanged.
2 + 9/10 = 11/10
Step 3

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 11 and 10 is 1, confirming that 11/10 cannot be reduced further—it is already in its simplest irreducible form.
11/10
Step 4

Convert Improper Fraction to a Mixed Number

Since the numerator (11) is greater than the denominator (10), divide 11 by 10: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/10.
11/10 = 11/10
Step 5

Decimal & Percentage Representation

Dividing the numerator 11 by denominator 10 yields an exact terminating decimal of 1.1 (or 110%).
11 ÷ 10 = 1.1 (110%)

Visual Representation

The diagram below illustrates 2/10 plus 9/10 visually:

2/101/101/101/101/101/101/101/101/101/101/102 of 10 parts shadedValue: 0.2 (20%)
+
9/101/101/101/101/101/101/101/101/101/101/109 of 10 parts shadedValue: 0.9 (90%)
=
Result: 11/101 Whole1/10 PartTotal: 11/10 (110%)

Summary & Alternative Representations

Property / FormatValue
Lowest Terms Fraction11/10
Mixed Number Form1 1/10
Decimal Form1.1
Percentage110%

Frequently Asked Questions

What is 2/10 plus 9/10 as a fraction?

2/10 + 9/10 in simplest fraction form is 11/10 (or 1 1/10 as a mixed number).

What is 2/10 plus 9/10 as a decimal?

2/10 + 9/10 converted to a decimal is 1.1.

What is 2/10 plus 9/10 as a percentage?

2/10 + 9/10 expressed as a percentage is 110%.

How do you write 2/10 plus 9/10 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 11/10 can be written as the mixed number 1 1/10.

Does 2/10 plus 9/10 result in a terminating or repeating decimal?

It results in an exact terminating decimal (1.1) because the denominator in simplest terms contains only prime factors 2 and/or 5.