What is 3/25 plus 2/4? (Answer: 31/50)

Exact Answer

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Problem: What is 3/25 plus 2/4?
Formula / Expression: 3/25 + 2/4
Final Answer: 31/50
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 25 and 4 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 25 × 4 = 100.
Working: LCD(25, 4) = 100

Step 2: Convert to Equivalent Fractions with Common Denominator 100
Multiply the numerator and denominator of 3/25 by 4, and multiply the numerator and denominator of 2/4 by 25 so both fractions share the common base 100.
Working: 3 × 4/25 × 4 = 12/100 and 2 × 25/4 × 25 = 50/100

Step 3: Add the Numerators
Now add the numerators (12 + 50 = 62) and keep the common denominator 100 unchanged.
Working: 12 + 50/100 = 62/100

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 62 and 100, which is 2. Divide both the numerator and denominator by 2.
Working: 62 ÷ 2/100 ÷ 2 = 31/50

Step 5: Decimal & Percentage Representation
Dividing the numerator 31 by denominator 50 yields an exact terminating decimal of 0.62 (or 62%).
Working: 31 ÷ 50 = 0.62 (62%)

Key Values:
- Simplified Fraction: 31/50
- Mixed Number Form: 31/50
- Decimal Value: 0.62
- Percentage: 62%

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Solved with FractionsCalc:
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3/25 + 2/4 = 31/50

Simplified Fraction

31/50

Mixed Number

Proper (31/50)

Decimal Value

0.62

Percentage

62%

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Step-by-Step Solution: 3/25 + 2/4

Step 1

Find the Least Common Denominator (LCD)

The denominators 25 and 4 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 25 × 4 = 100.

LCD(25, 4) = 100

Step 2

Convert to Equivalent Fractions with Common Denominator 100

Multiply the numerator and denominator of 3/25 by 4, and multiply the numerator and denominator of 2/4 by 25 so both fractions share the common base 100.

3 × 4/25 × 4 = 12/100 and 2 × 25/4 × 25 = 50/100

Step 3

Add the Numerators

Now add the numerators (12 + 50 = 62) and keep the common denominator 100 unchanged.

12 + 50/100 = 62/100

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 62 and 100, which is 2. Divide both the numerator and denominator by 2.

62 ÷ 2/100 ÷ 2 = 31/50

Step 5

Decimal & Percentage Representation

Dividing the numerator 31 by denominator 50 yields an exact terminating decimal of 0.62 (or 62%).

31 ÷ 50 = 0.62 (62%)

Visual Representation

The diagram below illustrates 3/25 plus 2/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`31/50`
Mixed Number Form	`31/50`
Decimal Form	`0.62`
Percentage	`62%`

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Frequently Asked Questions

What is 3/25 plus 2/4 as a fraction?

3/25 + 2/4 in simplest fraction form is 31/50.

What is 3/25 plus 2/4 as a decimal?

3/25 + 2/4 converted to a decimal is 0.62.

What is 3/25 plus 2/4 as a percentage?

3/25 + 2/4 expressed as a percentage is 62%.

Does 3/25 plus 2/4 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.62) because the denominator in simplest terms contains only prime factors 2 and/or 5.