What is 7/29 plus 2/8? (Answer: 57/116)

Exact Answer

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Problem: What is 7/29 plus 2/8?
Formula / Expression: 7/29 + 2/8
Final Answer: 57/116
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 29 and 8 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 29 × 8 = 232.
Working: LCD(29, 8) = 232

Step 2: Convert to Equivalent Fractions with Common Denominator 232
Multiply the numerator and denominator of 7/29 by 8, and multiply the numerator and denominator of 2/8 by 29 so both fractions share the common base 232.
Working: 7 × 8/29 × 8 = 56/232 and 2 × 29/8 × 29 = 58/232

Step 3: Add the Numerators
Now add the numerators (56 + 58 = 114) and keep the common denominator 232 unchanged.
Working: 56 + 58/232 = 114/232

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 114 and 232, which is 2. Divide both the numerator and denominator by 2.
Working: 114 ÷ 2/232 ÷ 2 = 57/116

Step 5: Decimal & Percentage Representation
Dividing the numerator 57 by denominator 116 produces a repeating decimal (approximately 0.491379, or 49.1379%).
Working: 57 ÷ 116 = 0.491379 (49.1379%)

Key Values:
- Simplified Fraction: 57/116
- Mixed Number Form: 57/116
- Decimal Value: 0.491379
- Percentage: 49.1379%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-7-29-plus-2-8/
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7/29 + 2/8 = 57/116

Simplified Fraction

57/116

Mixed Number

Proper (57/116)

Decimal Value

0.491379

Percentage

49.1379%

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Step-by-Step Solution: 7/29 + 2/8

Step 1

Find the Least Common Denominator (LCD)

The denominators 29 and 8 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 29 × 8 = 232.

LCD(29, 8) = 232

Step 2

Convert to Equivalent Fractions with Common Denominator 232

Multiply the numerator and denominator of 7/29 by 8, and multiply the numerator and denominator of 2/8 by 29 so both fractions share the common base 232.

7 × 8/29 × 8 = 56/232 and 2 × 29/8 × 29 = 58/232

Step 3

Add the Numerators

Now add the numerators (56 + 58 = 114) and keep the common denominator 232 unchanged.

56 + 58/232 = 114/232

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 114 and 232, which is 2. Divide both the numerator and denominator by 2.

114 ÷ 2/232 ÷ 2 = 57/116

Step 5

Decimal & Percentage Representation

Dividing the numerator 57 by denominator 116 produces a repeating decimal (approximately 0.491379, or 49.1379%).

57 ÷ 116 = 0.491379 (49.1379%)

Visual Representation

The diagram below illustrates 7/29 plus 2/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`57/116`
Mixed Number Form	`57/116`
Decimal Form	`0.491379`
Percentage	`49.1379%`

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Frequently Asked Questions

What is 7/29 plus 2/8 as a fraction?

7/29 + 2/8 in simplest fraction form is 57/116.

What is 7/29 plus 2/8 as a decimal?

7/29 + 2/8 converted to a decimal is 0.491379.

What is 7/29 plus 2/8 as a percentage?

7/29 + 2/8 expressed as a percentage is 49.1379%.

Does 7/29 plus 2/8 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.491379...) because the denominator contains prime factors other than 2 and 5.