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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:

2/4ΒΌΒΌΒΌΒΌ2 of 4 parts shadedValue: 0.5 (50%)
+
11/2211 of 22 parts shadedValue: 0.5 (50%)
=
Result: 11Value: 1 (100%)

Summary & Alternative Representations

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

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.