What is 2/4 plus 11/22?
2/4 plus 11/22 equals 1 (or 1 in decimal form). Learn the step-by-step solution to add 2/4 and 11/22 using Least Common Denominator and simplification.
Exact Answer
2/4 + 11/22 = 1
Simplified Fraction
1
Mixed Number
1
Decimal Value
1
Percentage
100%
Step-by-Step Solution: 2/4 + 11/22
Step 1
Find the Least Common Denominator (LCD)
The denominators 4 and 22 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 44 (which is smaller than their product 4 Γ 22 = 88, keeping the calculation simpler).
LCD(4, 22) = 44
Step 2
Convert to Equivalent Fractions with Common Denominator 44
Multiply the numerator and denominator of 2/4 by 11, and multiply the numerator and denominator of 11/22 by 2 so both fractions share the common base 44.
2 Γ 11/4 Γ 11 = 22/44 and 11 Γ 2/22 Γ 2 = 22/44
Step 3
Add the Numerators
Now add the numerators (22 + 22 = 44) and keep the common denominator 44 unchanged.
22 + 22/44 = 44/44
Step 4
Simplify to an Exact Whole Number
Notice that the numerator (44) is completely divisible by the denominator (44). Dividing 44 by 44 yields the whole number 1 with zero remainder.
44/44 = 1
Step 5
Decimal & Percentage Representation
Dividing the numerator 1 by denominator 1 yields an exact terminating decimal of 1 (or 100%).
1 Γ· 1 = 1 (100%)
Visual Representation
The diagram below illustrates 2/4 plus 11/22 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1 |
| Mixed Number Form | 1 |
| Decimal Form | 1 |
| Percentage | 100% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 2/4 plus 11/22 as a fraction?
2/4 + 11/22 in simplest fraction form is 1.
What is 2/4 plus 11/22 as a decimal?
2/4 + 11/22 converted to a decimal is 1.
What is 2/4 plus 11/22 as a percentage?
2/4 + 11/22 expressed as a percentage is 100%.
Is the answer to 2/4 plus 11/22 a whole number?
Yes, 2/4 + 11/22 simplifies completely to the whole number 1 with no remaining fractional part.