What is 2/24 plus 3/4? (Answer: 5/6)

Exact Answer

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Problem: What is 2/24 plus 3/4?
Formula / Expression: 2/24 + 3/4
Final Answer: 5/6
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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 2/24 by 1, and multiply the numerator and denominator of 3/4 by 6 so both fractions share the common base 24.
Working: 2 × 1/24 × 1 = 2/24 and 3 × 6/4 × 6 = 18/24

Step 3: Add the Numerators
Now add the numerators (2 + 18 = 20) and keep the common denominator 24 unchanged.
Working: 2 + 18/24 = 20/24

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 20 and 24, which is 4. Divide both the numerator and denominator by 4.
Working: 20 ÷ 4/24 ÷ 4 = 5/6

Step 5: Decimal & Percentage Representation
Dividing the numerator 5 by denominator 6 produces a repeating decimal (approximately 0.833333, or 83.3333%).
Working: 5 ÷ 6 = 0.833333 (83.3333%)

Key Values:
- Simplified Fraction: 5/6
- Mixed Number Form: 5/6
- Decimal Value: 0.833333
- Percentage: 83.3333%

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Solved with FractionsCalc:
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2/24 + 3/4 = 5/6

Simplified Fraction

5/6

Mixed Number

Proper (5/6)

Decimal Value

0.833333

Percentage

83.3333%

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Step-by-Step Solution: 2/24 + 3/4

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 2/24 by 1, and multiply the numerator and denominator of 3/4 by 6 so both fractions share the common base 24.

2 × 1/24 × 1 = 2/24 and 3 × 6/4 × 6 = 18/24

Step 3

Add the Numerators

Now add the numerators (2 + 18 = 20) and keep the common denominator 24 unchanged.

2 + 18/24 = 20/24

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 20 and 24, which is 4. Divide both the numerator and denominator by 4.

20 ÷ 4/24 ÷ 4 = 5/6

Step 5

Decimal & Percentage Representation

Dividing the numerator 5 by denominator 6 produces a repeating decimal (approximately 0.833333, or 83.3333%).

5 ÷ 6 = 0.833333 (83.3333%)

Visual Representation

The diagram below illustrates 2/24 plus 3/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/6`
Mixed Number Form	`5/6`
Decimal Form	`0.833333`
Percentage	`83.3333%`

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Frequently Asked Questions

What is 2/24 plus 3/4 as a fraction?

2/24 + 3/4 in simplest fraction form is 5/6.

What is 2/24 plus 3/4 as a decimal?

2/24 + 3/4 converted to a decimal is 0.833333.

What is 2/24 plus 3/4 as a percentage?

2/24 + 3/4 expressed as a percentage is 83.3333%.

Does 2/24 plus 3/4 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.833333...) because the denominator contains prime factors other than 2 and 5.