What is 2/24 plus 2/12? (Answer: 1/4)

Exact Answer

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Problem: What is 2/24 plus 2/12?
Formula / Expression: 2/24 + 2/12
Final Answer: 1/4
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 24 is an exact multiple of 12 (12 × 2 = 24). The Least Common Denominator (LCD) is simply 24, meaning we only need to scale one fraction.
Working: LCD(24, 12) = 24

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

Step 3: Add the Numerators
Now add the numerators (2 + 4 = 6) and keep the common denominator 24 unchanged.
Working: 2 + 4/24 = 6/24

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 6 and 24, which is 6. Divide both the numerator and denominator by 6.
Working: 6 ÷ 6/24 ÷ 6 = 1/4

Step 5: Decimal & Percentage Representation
Dividing the numerator 1 by denominator 4 yields an exact terminating decimal of 0.25 (or 25%).
Working: 1 ÷ 4 = 0.25 (25%)

Key Values:
- Simplified Fraction: 1/4
- Mixed Number Form: 1/4
- Decimal Value: 0.25
- Percentage: 25%

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Solved with FractionsCalc:
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2/24 + 2/12 = 1/4

Simplified Fraction

1/4

Mixed Number

Proper (1/4)

Decimal Value

0.25

Percentage

25%

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Step-by-Step Solution: 2/24 + 2/12

Step 1

Find the Least Common Denominator (LCD)

Notice that 24 is an exact multiple of 12 (12 × 2 = 24). The Least Common Denominator (LCD) is simply 24, meaning we only need to scale one fraction.

LCD(24, 12) = 24

Step 2

Convert to Equivalent Fractions with Common Denominator 24

Multiply the numerator and denominator of 2/24 by 1, and multiply the numerator and denominator of 2/12 by 2 so both fractions share the common base 24.

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

Step 3

Add the Numerators

Now add the numerators (2 + 4 = 6) and keep the common denominator 24 unchanged.

2 + 4/24 = 6/24

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 6 and 24, which is 6. Divide both the numerator and denominator by 6.

6 ÷ 6/24 ÷ 6 = 1/4

Step 5

Decimal & Percentage Representation

Dividing the numerator 1 by denominator 4 yields an exact terminating decimal of 0.25 (or 25%).

1 ÷ 4 = 0.25 (25%)

Visual Representation

The diagram below illustrates 2/24 plus 2/12 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`1/4`
Mixed Number Form	`1/4`
Decimal Form	`0.25`
Percentage	`25%`

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Frequently Asked Questions

What is 2/24 plus 2/12 as a fraction?

2/24 + 2/12 in simplest fraction form is 1/4.

What is 2/24 plus 2/12 as a decimal?

2/24 + 2/12 converted to a decimal is 0.25.

What is 2/24 plus 2/12 as a percentage?

2/24 + 2/12 expressed as a percentage is 25%.

Does 2/24 plus 2/12 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.25) because the denominator in simplest terms contains only prime factors 2 and/or 5.