What is 9/31 plus 2/4? (Answer: 49/62)

Exact Answer

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Problem: What is 9/31 plus 2/4?
Formula / Expression: 9/31 + 2/4
Final Answer: 49/62
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 31 and 4 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 31 × 4 = 124.
Working: LCD(31, 4) = 124

Step 2: Convert to Equivalent Fractions with Common Denominator 124
Multiply the numerator and denominator of 9/31 by 4, and multiply the numerator and denominator of 2/4 by 31 so both fractions share the common base 124.
Working: 9 × 4/31 × 4 = 36/124 and 2 × 31/4 × 31 = 62/124

Step 3: Add the Numerators
Now add the numerators (36 + 62 = 98) and keep the common denominator 124 unchanged.
Working: 36 + 62/124 = 98/124

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 98 and 124, which is 2. Divide both the numerator and denominator by 2.
Working: 98 ÷ 2/124 ÷ 2 = 49/62

Step 5: Decimal & Percentage Representation
Dividing the numerator 49 by denominator 62 produces a repeating decimal (approximately 0.790323, or 79.0323%).
Working: 49 ÷ 62 = 0.790323 (79.0323%)

Key Values:
- Simplified Fraction: 49/62
- Mixed Number Form: 49/62
- Decimal Value: 0.790323
- Percentage: 79.0323%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-9-31-plus-2-4/
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9/31 + 2/4 = 49/62

Simplified Fraction

49/62

Mixed Number

Proper (49/62)

Decimal Value

0.790323

Percentage

79.0323%

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Step-by-Step Solution: 9/31 + 2/4

Step 1

Find the Least Common Denominator (LCD)

The denominators 31 and 4 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 31 × 4 = 124.

LCD(31, 4) = 124

Step 2

Convert to Equivalent Fractions with Common Denominator 124

Multiply the numerator and denominator of 9/31 by 4, and multiply the numerator and denominator of 2/4 by 31 so both fractions share the common base 124.

9 × 4/31 × 4 = 36/124 and 2 × 31/4 × 31 = 62/124

Step 3

Add the Numerators

Now add the numerators (36 + 62 = 98) and keep the common denominator 124 unchanged.

36 + 62/124 = 98/124

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 98 and 124, which is 2. Divide both the numerator and denominator by 2.

98 ÷ 2/124 ÷ 2 = 49/62

Step 5

Decimal & Percentage Representation

Dividing the numerator 49 by denominator 62 produces a repeating decimal (approximately 0.790323, or 79.0323%).

49 ÷ 62 = 0.790323 (79.0323%)

Visual Representation

The diagram below illustrates 9/31 plus 2/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`49/62`
Mixed Number Form	`49/62`
Decimal Form	`0.790323`
Percentage	`79.0323%`

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Frequently Asked Questions

What is 9/31 plus 2/4 as a fraction?

9/31 + 2/4 in simplest fraction form is 49/62.

What is 9/31 plus 2/4 as a decimal?

9/31 + 2/4 converted to a decimal is 0.790323.

What is 9/31 plus 2/4 as a percentage?

9/31 + 2/4 expressed as a percentage is 79.0323%.

Does 9/31 plus 2/4 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.790323...) because the denominator contains prime factors other than 2 and 5.