What is 10/26 plus 8/13?
10/26 plus 8/13 equals 1 (or 1 in decimal form). Learn the step-by-step solution to add 10/26 and 8/13 using Least Common Denominator and simplification.
Exact Answer
10/26 + 8/13 = 1
Simplified Fraction
1
Mixed Number
1
Decimal Value
1
Percentage
100%
Step-by-Step Solution: 10/26 + 8/13
Step 1
Find the Least Common Denominator (LCD)
Notice that 26 is an exact multiple of 13 (13 × 2 = 26). The Least Common Denominator (LCD) is simply 26, meaning we only need to scale one fraction.
LCD(26, 13) = 26
Step 2
Convert to Equivalent Fractions with Common Denominator 26
Multiply the numerator and denominator of 10/26 by 1, and multiply the numerator and denominator of 8/13 by 2 so both fractions share the common base 26.
10 × 1/26 × 1 = 10/26 and 8 × 2/13 × 2 = 16/26
Step 3
Add the Numerators
Now add the numerators (10 + 16 = 26) and keep the common denominator 26 unchanged.
10 + 16/26 = 26/26
Step 4
Simplify to an Exact Whole Number
Notice that the numerator (26) is completely divisible by the denominator (26). Dividing 26 by 26 yields the whole number 1 with zero remainder.
26/26 = 1
Step 5
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 10/26 plus 8/13 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1 |
| Mixed Number Form | 1 |
| Decimal Form | 1 |
| Percentage | 100% |
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Frequently Asked Questions
What is 10/26 plus 8/13 as a fraction?
10/26 + 8/13 in simplest fraction form is 1.
What is 10/26 plus 8/13 as a decimal?
10/26 + 8/13 converted to a decimal is 1.
What is 10/26 plus 8/13 as a percentage?
10/26 + 8/13 expressed as a percentage is 100%.
Is the answer to 10/26 plus 8/13 a whole number?
Yes, 10/26 + 8/13 simplifies completely to the whole number 1 with no remaining fractional part.