What is 1/24 plus 2/8? (Answer: 7/24)

Exact Answer

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Problem: What is 1/24 plus 2/8?
Formula / Expression: 1/24 + 2/8
Final Answer: 7/24
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Step-by-Step Solution:

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

Step 2: Convert to Equivalent Fractions with Common Denominator 24
Multiply the numerator and denominator of 1/24 by 1, and multiply the numerator and denominator of 2/8 by 3 so both fractions share the common base 24.
Working: 1 × 1/24 × 1 = 1/24 and 2 × 3/8 × 3 = 6/24

Step 3: Add the Numerators
Now add the numerators (1 + 6 = 7) and keep the common denominator 24 unchanged.
Working: 1 + 6/24 = 7/24

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 7 and 24 is 1, confirming that 7/24 cannot be reduced further—it is already in its simplest irreducible form.
Working: 7/24

Step 5: Decimal & Percentage Representation
Dividing the numerator 7 by denominator 24 produces a repeating decimal (approximately 0.291667, or 29.1667%).
Working: 7 ÷ 24 = 0.291667 (29.1667%)

Key Values:
- Simplified Fraction: 7/24
- Mixed Number Form: 7/24
- Decimal Value: 0.291667
- Percentage: 29.1667%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-1-24-plus-2-8/
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1/24 + 2/8 = 7/24

Simplified Fraction

7/24

Mixed Number

Proper (7/24)

Decimal Value

0.291667

Percentage

29.1667%

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Step-by-Step Solution: 1/24 + 2/8

Step 1

Find the Least Common Denominator (LCD)

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

LCD(24, 8) = 24

Step 2

Convert to Equivalent Fractions with Common Denominator 24

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

1 × 1/24 × 1 = 1/24 and 2 × 3/8 × 3 = 6/24

Step 3

Add the Numerators

Now add the numerators (1 + 6 = 7) and keep the common denominator 24 unchanged.

1 + 6/24 = 7/24

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 7 and 24 is 1, confirming that 7/24 cannot be reduced further—it is already in its simplest irreducible form.

7/24

Step 5

Decimal & Percentage Representation

Dividing the numerator 7 by denominator 24 produces a repeating decimal (approximately 0.291667, or 29.1667%).

7 ÷ 24 = 0.291667 (29.1667%)

Visual Representation

The diagram below illustrates 1/24 plus 2/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/24`
Mixed Number Form	`7/24`
Decimal Form	`0.291667`
Percentage	`29.1667%`

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Frequently Asked Questions

What is 1/24 plus 2/8 as a fraction?

1/24 + 2/8 in simplest fraction form is 7/24.

What is 1/24 plus 2/8 as a decimal?

1/24 + 2/8 converted to a decimal is 0.291667.

What is 1/24 plus 2/8 as a percentage?

1/24 + 2/8 expressed as a percentage is 29.1667%.

Does 1/24 plus 2/8 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.291667...) because the denominator contains prime factors other than 2 and 5.