What is 2/38 plus 2/4? (Answer: 21/38)

Exact Answer

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Problem: What is 2/38 plus 2/4?
Formula / Expression: 2/38 + 2/4
Final Answer: 21/38
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 38 and 4 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 76 (which is smaller than their product 38 × 4 = 152, keeping the calculation simpler).
Working: LCD(38, 4) = 76

Step 2: Convert to Equivalent Fractions with Common Denominator 76
Multiply the numerator and denominator of 2/38 by 2, and multiply the numerator and denominator of 2/4 by 19 so both fractions share the common base 76.
Working: 2 × 2/38 × 2 = 4/76 and 2 × 19/4 × 19 = 38/76

Step 3: Add the Numerators
Now add the numerators (4 + 38 = 42) and keep the common denominator 76 unchanged.
Working: 4 + 38/76 = 42/76

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 42 and 76, which is 2. Divide both the numerator and denominator by 2.
Working: 42 ÷ 2/76 ÷ 2 = 21/38

Step 5: Decimal & Percentage Representation
Dividing the numerator 21 by denominator 38 produces a repeating decimal (approximately 0.552632, or 55.2632%).
Working: 21 ÷ 38 = 0.552632 (55.2632%)

Key Values:
- Simplified Fraction: 21/38
- Mixed Number Form: 21/38
- Decimal Value: 0.552632
- Percentage: 55.2632%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-38-plus-2-4/
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2/38 + 2/4 = 21/38

Simplified Fraction

21/38

Mixed Number

Proper (21/38)

Decimal Value

0.552632

Percentage

55.2632%

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Step-by-Step Solution: 2/38 + 2/4

Step 1

Find the Least Common Denominator (LCD)

The denominators 38 and 4 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 76 (which is smaller than their product 38 × 4 = 152, keeping the calculation simpler).

LCD(38, 4) = 76

Step 2

Convert to Equivalent Fractions with Common Denominator 76

Multiply the numerator and denominator of 2/38 by 2, and multiply the numerator and denominator of 2/4 by 19 so both fractions share the common base 76.

2 × 2/38 × 2 = 4/76 and 2 × 19/4 × 19 = 38/76

Step 3

Add the Numerators

Now add the numerators (4 + 38 = 42) and keep the common denominator 76 unchanged.

4 + 38/76 = 42/76

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 42 and 76, which is 2. Divide both the numerator and denominator by 2.

42 ÷ 2/76 ÷ 2 = 21/38

Step 5

Decimal & Percentage Representation

Dividing the numerator 21 by denominator 38 produces a repeating decimal (approximately 0.552632, or 55.2632%).

21 ÷ 38 = 0.552632 (55.2632%)

Visual Representation

The diagram below illustrates 2/38 plus 2/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`21/38`
Mixed Number Form	`21/38`
Decimal Form	`0.552632`
Percentage	`55.2632%`

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Frequently Asked Questions

What is 2/38 plus 2/4 as a fraction?

2/38 + 2/4 in simplest fraction form is 21/38.

What is 2/38 plus 2/4 as a decimal?

2/38 + 2/4 converted to a decimal is 0.552632.

What is 2/38 plus 2/4 as a percentage?

2/38 + 2/4 expressed as a percentage is 55.2632%.

Does 2/38 plus 2/4 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.552632...) because the denominator contains prime factors other than 2 and 5.