What is 2/26 plus 2/22? (Answer: 24/143)

Exact Answer

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Problem: What is 2/26 plus 2/22?
Formula / Expression: 2/26 + 2/22
Final Answer: 24/143
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 26 and 22 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 286 (which is smaller than their product 26 × 22 = 572, keeping the calculation simpler).
Working: LCD(26, 22) = 286

Step 2: Convert to Equivalent Fractions with Common Denominator 286
Multiply the numerator and denominator of 2/26 by 11, and multiply the numerator and denominator of 2/22 by 13 so both fractions share the common base 286.
Working: 2 × 11/26 × 11 = 22/286 and 2 × 13/22 × 13 = 26/286

Step 3: Add the Numerators
Now add the numerators (22 + 26 = 48) and keep the common denominator 286 unchanged.
Working: 22 + 26/286 = 48/286

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 48 and 286, which is 2. Divide both the numerator and denominator by 2.
Working: 48 ÷ 2/286 ÷ 2 = 24/143

Step 5: Decimal & Percentage Representation
Dividing the numerator 24 by denominator 143 produces a repeating decimal (approximately 0.167832, or 16.7832%).
Working: 24 ÷ 143 = 0.167832 (16.7832%)

Key Values:
- Simplified Fraction: 24/143
- Mixed Number Form: 24/143
- Decimal Value: 0.167832
- Percentage: 16.7832%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-26-plus-2-22/
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2/26 + 2/22 = 24/143

Simplified Fraction

24/143

Mixed Number

Proper (24/143)

Decimal Value

0.167832

Percentage

16.7832%

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Step-by-Step Solution: 2/26 + 2/22

Step 1

Find the Least Common Denominator (LCD)

The denominators 26 and 22 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 286 (which is smaller than their product 26 × 22 = 572, keeping the calculation simpler).

LCD(26, 22) = 286

Step 2

Convert to Equivalent Fractions with Common Denominator 286

Multiply the numerator and denominator of 2/26 by 11, and multiply the numerator and denominator of 2/22 by 13 so both fractions share the common base 286.

2 × 11/26 × 11 = 22/286 and 2 × 13/22 × 13 = 26/286

Step 3

Add the Numerators

Now add the numerators (22 + 26 = 48) and keep the common denominator 286 unchanged.

22 + 26/286 = 48/286

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 48 and 286, which is 2. Divide both the numerator and denominator by 2.

48 ÷ 2/286 ÷ 2 = 24/143

Step 5

Decimal & Percentage Representation

Dividing the numerator 24 by denominator 143 produces a repeating decimal (approximately 0.167832, or 16.7832%).

24 ÷ 143 = 0.167832 (16.7832%)

Visual Representation

The diagram below illustrates 2/26 plus 2/22 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`24/143`
Mixed Number Form	`24/143`
Decimal Form	`0.167832`
Percentage	`16.7832%`

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Frequently Asked Questions

What is 2/26 plus 2/22 as a fraction?

2/26 + 2/22 in simplest fraction form is 24/143.

What is 2/26 plus 2/22 as a decimal?

2/26 + 2/22 converted to a decimal is 0.167832.

What is 2/26 plus 2/22 as a percentage?

2/26 + 2/22 expressed as a percentage is 16.7832%.

Does 2/26 plus 2/22 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.167832...) because the denominator contains prime factors other than 2 and 5.