What is 3/31 plus 2/4? (Answer: 37/62)

Exact Answer

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Problem: What is 3/31 plus 2/4?
Formula / Expression: 3/31 + 2/4
Final Answer: 37/62
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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 3/31 by 4, and multiply the numerator and denominator of 2/4 by 31 so both fractions share the common base 124.
Working: 3 × 4/31 × 4 = 12/124 and 2 × 31/4 × 31 = 62/124

Step 3: Add the Numerators
Now add the numerators (12 + 62 = 74) and keep the common denominator 124 unchanged.
Working: 12 + 62/124 = 74/124

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 74 and 124, which is 2. Divide both the numerator and denominator by 2.
Working: 74 ÷ 2/124 ÷ 2 = 37/62

Step 5: Decimal & Percentage Representation
Dividing the numerator 37 by denominator 62 produces a repeating decimal (approximately 0.596774, or 59.6774%).
Working: 37 ÷ 62 = 0.596774 (59.6774%)

Key Values:
- Simplified Fraction: 37/62
- Mixed Number Form: 37/62
- Decimal Value: 0.596774
- Percentage: 59.6774%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-3-31-plus-2-4/
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3/31 + 2/4 = 37/62

Simplified Fraction

37/62

Mixed Number

Proper (37/62)

Decimal Value

0.596774

Percentage

59.6774%

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Step-by-Step Solution: 3/31 + 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 3/31 by 4, and multiply the numerator and denominator of 2/4 by 31 so both fractions share the common base 124.

3 × 4/31 × 4 = 12/124 and 2 × 31/4 × 31 = 62/124

Step 3

Add the Numerators

Now add the numerators (12 + 62 = 74) and keep the common denominator 124 unchanged.

12 + 62/124 = 74/124

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 74 and 124, which is 2. Divide both the numerator and denominator by 2.

74 ÷ 2/124 ÷ 2 = 37/62

Step 5

Decimal & Percentage Representation

Dividing the numerator 37 by denominator 62 produces a repeating decimal (approximately 0.596774, or 59.6774%).

37 ÷ 62 = 0.596774 (59.6774%)

Visual Representation

The diagram below illustrates 3/31 plus 2/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`37/62`
Mixed Number Form	`37/62`
Decimal Form	`0.596774`
Percentage	`59.6774%`

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Frequently Asked Questions

What is 3/31 plus 2/4 as a fraction?

3/31 + 2/4 in simplest fraction form is 37/62.

What is 3/31 plus 2/4 as a decimal?

3/31 + 2/4 converted to a decimal is 0.596774.

What is 3/31 plus 2/4 as a percentage?

3/31 + 2/4 expressed as a percentage is 59.6774%.

Does 3/31 plus 2/4 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.596774...) because the denominator contains prime factors other than 2 and 5.