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Exact Answer
5/13 + 8/13 = 1
Simplified Fraction
1
Mixed Number
1
Decimal Value
1
Percentage
100%

Step-by-Step Solution: 5/13 + 8/13

Step 1

Check the Denominators (Like Fractions)

Both fractions already share the identical denominator (13). Because these are like fractions, no conversion to a common denominator is required—we directly add their numerators while keeping the denominator 13.
5/13 + 8/13
Step 2

Add the Numerators

Now add the numerators (5 + 8 = 13) and keep the common denominator 13 unchanged.
5 + 8/13 = 13/13
Step 3

Simplify to an Exact Whole Number

Notice that the numerator (13) is completely divisible by the denominator (13). Dividing 13 by 13 yields the whole number 1 with zero remainder.
13/13 = 1
Step 4

Decimal & Percentage Representation

Dividing the numerator 1 by denominator 1 yields an exact terminating decimal of 1 (or 100%).
1 ÷ 1 = 1 (100%)

Visual Representation

The diagram below illustrates 5/13 plus 8/13 visually:

5/135 of 13 parts shadedValue: 0.3846 (38.5%)
+
8/138 of 13 parts shadedValue: 0.6154 (61.5%)
=
Result: 113 of 13 parts shadedValue: 1 (100%)

Summary & Alternative Representations

Property / FormatValue
Lowest Terms Fraction1
Mixed Number Form1
Decimal Form1
Percentage100%

Frequently Asked Questions

What is 5/13 plus 8/13 as a fraction?

5/13 + 8/13 in simplest fraction form is 1.

What is 5/13 plus 8/13 as a decimal?

5/13 + 8/13 converted to a decimal is 1.

What is 5/13 plus 8/13 as a percentage?

5/13 + 8/13 expressed as a percentage is 100%.

Is the answer to 5/13 plus 8/13 a whole number?

Yes, 5/13 + 8/13 simplifies completely to the whole number 1 with no remaining fractional part.