What is 10/29 plus 2/4? (Answer: 49/58)

Exact Answer

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Problem: What is 10/29 plus 2/4?
Formula / Expression: 10/29 + 2/4
Final Answer: 49/58
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 29 and 4 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 29 × 4 = 116.
Working: LCD(29, 4) = 116

Step 2: Convert to Equivalent Fractions with Common Denominator 116
Multiply the numerator and denominator of 10/29 by 4, and multiply the numerator and denominator of 2/4 by 29 so both fractions share the common base 116.
Working: 10 × 4/29 × 4 = 40/116 and 2 × 29/4 × 29 = 58/116

Step 3: Add the Numerators
Now add the numerators (40 + 58 = 98) and keep the common denominator 116 unchanged.
Working: 40 + 58/116 = 98/116

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 98 and 116, which is 2. Divide both the numerator and denominator by 2.
Working: 98 ÷ 2/116 ÷ 2 = 49/58

Step 5: Decimal & Percentage Representation
Dividing the numerator 49 by denominator 58 produces a repeating decimal (approximately 0.844828, or 84.4828%).
Working: 49 ÷ 58 = 0.844828 (84.4828%)

Key Values:
- Simplified Fraction: 49/58
- Mixed Number Form: 49/58
- Decimal Value: 0.844828
- Percentage: 84.4828%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-10-29-plus-2-4/
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10/29 + 2/4 = 49/58

Simplified Fraction

49/58

Mixed Number

Proper (49/58)

Decimal Value

0.844828

Percentage

84.4828%

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Step-by-Step Solution: 10/29 + 2/4

Step 1

Find the Least Common Denominator (LCD)

The denominators 29 and 4 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 29 × 4 = 116.

LCD(29, 4) = 116

Step 2

Convert to Equivalent Fractions with Common Denominator 116

Multiply the numerator and denominator of 10/29 by 4, and multiply the numerator and denominator of 2/4 by 29 so both fractions share the common base 116.

10 × 4/29 × 4 = 40/116 and 2 × 29/4 × 29 = 58/116

Step 3

Add the Numerators

Now add the numerators (40 + 58 = 98) and keep the common denominator 116 unchanged.

40 + 58/116 = 98/116

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 98 and 116, which is 2. Divide both the numerator and denominator by 2.

98 ÷ 2/116 ÷ 2 = 49/58

Step 5

Decimal & Percentage Representation

Dividing the numerator 49 by denominator 58 produces a repeating decimal (approximately 0.844828, or 84.4828%).

49 ÷ 58 = 0.844828 (84.4828%)

Visual Representation

The diagram below illustrates 10/29 plus 2/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`49/58`
Mixed Number Form	`49/58`
Decimal Form	`0.844828`
Percentage	`84.4828%`

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Frequently Asked Questions

What is 10/29 plus 2/4 as a fraction?

10/29 + 2/4 in simplest fraction form is 49/58.

What is 10/29 plus 2/4 as a decimal?

10/29 + 2/4 converted to a decimal is 0.844828.

What is 10/29 plus 2/4 as a percentage?

10/29 + 2/4 expressed as a percentage is 84.4828%.

Does 10/29 plus 2/4 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.844828...) because the denominator contains prime factors other than 2 and 5.