What is 2/8 plus 7/22? (Answer: 25/44)

Exact Answer

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Problem: What is 2/8 plus 7/22?
Formula / Expression: 2/8 + 7/22
Final Answer: 25/44
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 8 and 22 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 88 (which is smaller than their product 8 × 22 = 176, keeping the calculation simpler).
Working: LCD(8, 22) = 88

Step 2: Convert to Equivalent Fractions with Common Denominator 88
Multiply the numerator and denominator of 2/8 by 11, and multiply the numerator and denominator of 7/22 by 4 so both fractions share the common base 88.
Working: 2 × 11/8 × 11 = 22/88 and 7 × 4/22 × 4 = 28/88

Step 3: Add the Numerators
Now add the numerators (22 + 28 = 50) and keep the common denominator 88 unchanged.
Working: 22 + 28/88 = 50/88

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 50 and 88, which is 2. Divide both the numerator and denominator by 2.
Working: 50 ÷ 2/88 ÷ 2 = 25/44

Step 5: Decimal & Percentage Representation
Dividing the numerator 25 by denominator 44 produces a repeating decimal (approximately 0.568182, or 56.8182%).
Working: 25 ÷ 44 = 0.568182 (56.8182%)

Key Values:
- Simplified Fraction: 25/44
- Mixed Number Form: 25/44
- Decimal Value: 0.568182
- Percentage: 56.8182%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-8-plus-7-22/
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2/8 + 7/22 = 25/44

Simplified Fraction

25/44

Mixed Number

Proper (25/44)

Decimal Value

0.568182

Percentage

56.8182%

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Step-by-Step Solution: 2/8 + 7/22

Step 1

Find the Least Common Denominator (LCD)

The denominators 8 and 22 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 88 (which is smaller than their product 8 × 22 = 176, keeping the calculation simpler).

LCD(8, 22) = 88

Step 2

Convert to Equivalent Fractions with Common Denominator 88

Multiply the numerator and denominator of 2/8 by 11, and multiply the numerator and denominator of 7/22 by 4 so both fractions share the common base 88.

2 × 11/8 × 11 = 22/88 and 7 × 4/22 × 4 = 28/88

Step 3

Add the Numerators

Now add the numerators (22 + 28 = 50) and keep the common denominator 88 unchanged.

22 + 28/88 = 50/88

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 50 and 88, which is 2. Divide both the numerator and denominator by 2.

50 ÷ 2/88 ÷ 2 = 25/44

Step 5

Decimal & Percentage Representation

Dividing the numerator 25 by denominator 44 produces a repeating decimal (approximately 0.568182, or 56.8182%).

25 ÷ 44 = 0.568182 (56.8182%)

Visual Representation

The diagram below illustrates 2/8 plus 7/22 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`25/44`
Mixed Number Form	`25/44`
Decimal Form	`0.568182`
Percentage	`56.8182%`

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Frequently Asked Questions

What is 2/8 plus 7/22 as a fraction?

2/8 + 7/22 in simplest fraction form is 25/44.

What is 2/8 plus 7/22 as a decimal?

2/8 + 7/22 converted to a decimal is 0.568182.

What is 2/8 plus 7/22 as a percentage?

2/8 + 7/22 expressed as a percentage is 56.8182%.

Does 2/8 plus 7/22 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.568182...) because the denominator contains prime factors other than 2 and 5.