What is 4/24 plus 2/4? (Answer: 2/3)

Exact Answer

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Problem: What is 4/24 plus 2/4?
Formula / Expression: 4/24 + 2/4
Final Answer: 2/3
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 24 is an exact multiple of 4 (4 × 6 = 24). The Least Common Denominator (LCD) is simply 24, meaning we only need to scale one fraction.
Working: LCD(24, 4) = 24

Step 2: Convert to Equivalent Fractions with Common Denominator 24
Multiply the numerator and denominator of 4/24 by 1, and multiply the numerator and denominator of 2/4 by 6 so both fractions share the common base 24.
Working: 4 × 1/24 × 1 = 4/24 and 2 × 6/4 × 6 = 12/24

Step 3: Add the Numerators
Now add the numerators (4 + 12 = 16) and keep the common denominator 24 unchanged.
Working: 4 + 12/24 = 16/24

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 16 and 24, which is 8. Divide both the numerator and denominator by 8.
Working: 16 ÷ 8/24 ÷ 8 = 2/3

Step 5: Decimal & Percentage Representation
Dividing the numerator 2 by denominator 3 produces a repeating decimal (approximately 0.666667, or 66.6667%).
Working: 2 ÷ 3 = 0.666667 (66.6667%)

Key Values:
- Simplified Fraction: 2/3
- Mixed Number Form: 2/3
- Decimal Value: 0.666667
- Percentage: 66.6667%

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Solved with FractionsCalc:
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4/24 + 2/4 = 2/3

Simplified Fraction

2/3

Mixed Number

Proper (2/3)

Decimal Value

0.666667

Percentage

66.6667%

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Step-by-Step Solution: 4/24 + 2/4

Step 1

Find the Least Common Denominator (LCD)

Notice that 24 is an exact multiple of 4 (4 × 6 = 24). The Least Common Denominator (LCD) is simply 24, meaning we only need to scale one fraction.

LCD(24, 4) = 24

Step 2

Convert to Equivalent Fractions with Common Denominator 24

Multiply the numerator and denominator of 4/24 by 1, and multiply the numerator and denominator of 2/4 by 6 so both fractions share the common base 24.

4 × 1/24 × 1 = 4/24 and 2 × 6/4 × 6 = 12/24

Step 3

Add the Numerators

Now add the numerators (4 + 12 = 16) and keep the common denominator 24 unchanged.

4 + 12/24 = 16/24

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 16 and 24, which is 8. Divide both the numerator and denominator by 8.

16 ÷ 8/24 ÷ 8 = 2/3

Step 5

Decimal & Percentage Representation

Dividing the numerator 2 by denominator 3 produces a repeating decimal (approximately 0.666667, or 66.6667%).

2 ÷ 3 = 0.666667 (66.6667%)

Visual Representation

The diagram below illustrates 4/24 plus 2/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`2/3`
Mixed Number Form	`2/3`
Decimal Form	`0.666667`
Percentage	`66.6667%`

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Frequently Asked Questions

What is 4/24 plus 2/4 as a fraction?

4/24 + 2/4 in simplest fraction form is 2/3.

What is 4/24 plus 2/4 as a decimal?

4/24 + 2/4 converted to a decimal is 0.666667.

What is 4/24 plus 2/4 as a percentage?

4/24 + 2/4 expressed as a percentage is 66.6667%.

Does 4/24 plus 2/4 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.666667...) because the denominator contains prime factors other than 2 and 5.