What is 2/11 plus 5/8? (Answer: 71/88)

Exact Answer

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Problem: What is 2/11 plus 5/8?
Formula / Expression: 2/11 + 5/8
Final Answer: 71/88
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 11 and 8 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 11 × 8 = 88.
Working: LCD(11, 8) = 88

Step 2: Convert to Equivalent Fractions with Common Denominator 88
Multiply the numerator and denominator of 2/11 by 8, and multiply the numerator and denominator of 5/8 by 11 so both fractions share the common base 88.
Working: 2 × 8/11 × 8 = 16/88 and 5 × 11/8 × 11 = 55/88

Step 3: Add the Numerators
Now add the numerators (16 + 55 = 71) and keep the common denominator 88 unchanged.
Working: 16 + 55/88 = 71/88

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 71 and 88 is 1, confirming that 71/88 cannot be reduced further—it is already in its simplest irreducible form.
Working: 71/88

Step 5: Decimal & Percentage Representation
Dividing the numerator 71 by denominator 88 produces a repeating decimal (approximately 0.806818, or 80.6818%).
Working: 71 ÷ 88 = 0.806818 (80.6818%)

Key Values:
- Simplified Fraction: 71/88
- Mixed Number Form: 71/88
- Decimal Value: 0.806818
- Percentage: 80.6818%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-11-plus-5-8/
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2/11 + 5/8 = 71/88

Simplified Fraction

71/88

Mixed Number

Proper (71/88)

Decimal Value

0.806818

Percentage

80.6818%

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

Step 1

Find the Least Common Denominator (LCD)

The denominators 11 and 8 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 11 × 8 = 88.

LCD(11, 8) = 88

Step 2

Convert to Equivalent Fractions with Common Denominator 88

Multiply the numerator and denominator of 2/11 by 8, and multiply the numerator and denominator of 5/8 by 11 so both fractions share the common base 88.

2 × 8/11 × 8 = 16/88 and 5 × 11/8 × 11 = 55/88

Step 3

Add the Numerators

Now add the numerators (16 + 55 = 71) and keep the common denominator 88 unchanged.

16 + 55/88 = 71/88

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 71 and 88 is 1, confirming that 71/88 cannot be reduced further—it is already in its simplest irreducible form.

71/88

Step 5

Decimal & Percentage Representation

Dividing the numerator 71 by denominator 88 produces a repeating decimal (approximately 0.806818, or 80.6818%).

71 ÷ 88 = 0.806818 (80.6818%)

Visual Representation

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

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`71/88`
Mixed Number Form	`71/88`
Decimal Form	`0.806818`
Percentage	`80.6818%`

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Frequently Asked Questions

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

2/11 + 5/8 in simplest fraction form is 71/88.

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

2/11 + 5/8 converted to a decimal is 0.806818.

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

2/11 + 5/8 expressed as a percentage is 80.6818%.

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

It results in a repeating decimal (approximately 0.806818...) because the denominator contains prime factors other than 2 and 5.