What is 2/5 plus 8/11? (Answer: 62/55)

Exact Answer

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Problem: What is 2/5 plus 8/11?
Formula / Expression: 2/5 + 8/11
Final Answer: 1 7/55 (62/55)
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 5 and 11 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 5 × 11 = 55.
Working: LCD(5, 11) = 55

Step 2: Convert to Equivalent Fractions with Common Denominator 55
Multiply the numerator and denominator of 2/5 by 11, and multiply the numerator and denominator of 8/11 by 5 so both fractions share the common base 55.
Working: 2 × 11/5 × 11 = 22/55 and 8 × 5/11 × 5 = 40/55

Step 3: Add the Numerators
Now add the numerators (22 + 40 = 62) and keep the common denominator 55 unchanged.
Working: 22 + 40/55 = 62/55

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 62 and 55 is 1, confirming that 62/55 cannot be reduced further—it is already in its simplest irreducible form.
Working: 62/55

Step 5: Convert Improper Fraction to a Mixed Number
Since the numerator (62) is greater than the denominator (55), divide 62 by 55: it goes in 1 whole time(s) with a remainder of 7, giving the mixed number 1 7/55.
Working: 62/55 = 1 7/55

Step 6: Decimal & Percentage Representation
Dividing the numerator 62 by denominator 55 produces a repeating decimal (approximately 1.127273, or 112.7273%).
Working: 62 ÷ 55 = 1.127273 (112.7273%)

Key Values:
- Simplified Fraction: 62/55
- Mixed Number Form: 1 7/55
- Decimal Value: 1.127273
- Percentage: 112.7273%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-5-plus-8-11/
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2/5 + 8/11 = 62/55

Simplified Fraction

62/55

Mixed Number

1 7/55

Decimal Value

1.127273

Percentage

112.7273%

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Step-by-Step Solution: 2/5 + 8/11

Step 1

Find the Least Common Denominator (LCD)

The denominators 5 and 11 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 5 × 11 = 55.

LCD(5, 11) = 55

Step 2

Convert to Equivalent Fractions with Common Denominator 55

Multiply the numerator and denominator of 2/5 by 11, and multiply the numerator and denominator of 8/11 by 5 so both fractions share the common base 55.

2 × 11/5 × 11 = 22/55 and 8 × 5/11 × 5 = 40/55

Step 3

Add the Numerators

Now add the numerators (22 + 40 = 62) and keep the common denominator 55 unchanged.

22 + 40/55 = 62/55

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 62 and 55 is 1, confirming that 62/55 cannot be reduced further—it is already in its simplest irreducible form.

62/55

Step 5

Convert Improper Fraction to a Mixed Number

Since the numerator (62) is greater than the denominator (55), divide 62 by 55: it goes in 1 whole time(s) with a remainder of 7, giving the mixed number 1 7/55.

62/55 = 17/55

Step 6

Decimal & Percentage Representation

Dividing the numerator 62 by denominator 55 produces a repeating decimal (approximately 1.127273, or 112.7273%).

62 ÷ 55 = 1.127273 (112.7273%)

Visual Representation

The diagram below illustrates 2/5 plus 8/11 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`62/55`
Mixed Number Form	`1 7/55`
Decimal Form	`1.127273`
Percentage	`112.7273%`

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Frequently Asked Questions

What is 2/5 plus 8/11 as a fraction?

2/5 + 8/11 in simplest fraction form is 62/55 (or 1 7/55 as a mixed number).

What is 2/5 plus 8/11 as a decimal?

2/5 + 8/11 converted to a decimal is 1.127273.

What is 2/5 plus 8/11 as a percentage?

2/5 + 8/11 expressed as a percentage is 112.7273%.

How do you write 2/5 plus 8/11 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 62/55 can be written as the mixed number 1 7/55.

Does 2/5 plus 8/11 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 1.127273...) because the denominator contains prime factors other than 2 and 5.