What is 3/24 plus 2/3? (Answer: 19/24)

Exact Answer

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Problem: What is 3/24 plus 2/3?
Formula / Expression: 3/24 + 2/3
Final Answer: 19/24
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 24 is an exact multiple of 3 (3 × 8 = 24). The Least Common Denominator (LCD) is simply 24, meaning we only need to scale one fraction.
Working: LCD(24, 3) = 24

Step 2: Convert to Equivalent Fractions with Common Denominator 24
Multiply the numerator and denominator of 3/24 by 1, and multiply the numerator and denominator of 2/3 by 8 so both fractions share the common base 24.
Working: 3 × 1/24 × 1 = 3/24 and 2 × 8/3 × 8 = 16/24

Step 3: Add the Numerators
Now add the numerators (3 + 16 = 19) and keep the common denominator 24 unchanged.
Working: 3 + 16/24 = 19/24

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 19 and 24 is 1, confirming that 19/24 cannot be reduced further—it is already in its simplest irreducible form.
Working: 19/24

Step 5: Decimal & Percentage Representation
Dividing the numerator 19 by denominator 24 produces a repeating decimal (approximately 0.791667, or 79.1667%).
Working: 19 ÷ 24 = 0.791667 (79.1667%)

Key Values:
- Simplified Fraction: 19/24
- Mixed Number Form: 19/24
- Decimal Value: 0.791667
- Percentage: 79.1667%

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Solved with FractionsCalc:
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3/24 + 2/3 = 19/24

Simplified Fraction

19/24

Mixed Number

Proper (19/24)

Decimal Value

0.791667

Percentage

79.1667%

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

Step 1

Find the Least Common Denominator (LCD)

Notice that 24 is an exact multiple of 3 (3 × 8 = 24). The Least Common Denominator (LCD) is simply 24, meaning we only need to scale one fraction.

LCD(24, 3) = 24

Step 2

Convert to Equivalent Fractions with Common Denominator 24

Multiply the numerator and denominator of 3/24 by 1, and multiply the numerator and denominator of 2/3 by 8 so both fractions share the common base 24.

3 × 1/24 × 1 = 3/24 and 2 × 8/3 × 8 = 16/24

Step 3

Add the Numerators

Now add the numerators (3 + 16 = 19) and keep the common denominator 24 unchanged.

3 + 16/24 = 19/24

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 19 and 24 is 1, confirming that 19/24 cannot be reduced further—it is already in its simplest irreducible form.

19/24

Step 5

Decimal & Percentage Representation

Dividing the numerator 19 by denominator 24 produces a repeating decimal (approximately 0.791667, or 79.1667%).

19 ÷ 24 = 0.791667 (79.1667%)

Visual Representation

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

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`19/24`
Mixed Number Form	`19/24`
Decimal Form	`0.791667`
Percentage	`79.1667%`

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Frequently Asked Questions

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

3/24 + 2/3 in simplest fraction form is 19/24.

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

3/24 + 2/3 converted to a decimal is 0.791667.

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

3/24 + 2/3 expressed as a percentage is 79.1667%.

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

It results in a repeating decimal (approximately 0.791667...) because the denominator contains prime factors other than 2 and 5.