What is 2/8 plus 9/24? (Answer: 5/8)

Exact Answer

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Problem: What is 2/8 plus 9/24?
Formula / Expression: 2/8 + 9/24
Final Answer: 5/8
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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(8, 24) = 24

Step 2: Convert to Equivalent Fractions with Common Denominator 24
Multiply the numerator and denominator of 2/8 by 3, and multiply the numerator and denominator of 9/24 by 1 so both fractions share the common base 24.
Working: 2 × 3/8 × 3 = 6/24 and 9 × 1/24 × 1 = 9/24

Step 3: Add the Numerators
Now add the numerators (6 + 9 = 15) and keep the common denominator 24 unchanged.
Working: 6 + 9/24 = 15/24

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 15 and 24, which is 3. Divide both the numerator and denominator by 3.
Working: 15 ÷ 3/24 ÷ 3 = 5/8

Step 5: Decimal & Percentage Representation
Dividing the numerator 5 by denominator 8 yields an exact terminating decimal of 0.625 (or 62.5%).
Working: 5 ÷ 8 = 0.625 (62.5%)

Key Values:
- Simplified Fraction: 5/8
- Mixed Number Form: 5/8
- Decimal Value: 0.625
- Percentage: 62.5%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-8-plus-9-24/
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2/8 + 9/24 = 5/8

Simplified Fraction

5/8

Mixed Number

Proper (5/8)

Decimal Value

0.625

Percentage

62.5%

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Step-by-Step Solution: 2/8 + 9/24

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(8, 24) = 24

Step 2

Convert to Equivalent Fractions with Common Denominator 24

Multiply the numerator and denominator of 2/8 by 3, and multiply the numerator and denominator of 9/24 by 1 so both fractions share the common base 24.

2 × 3/8 × 3 = 6/24 and 9 × 1/24 × 1 = 9/24

Step 3

Add the Numerators

Now add the numerators (6 + 9 = 15) and keep the common denominator 24 unchanged.

6 + 9/24 = 15/24

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 15 and 24, which is 3. Divide both the numerator and denominator by 3.

15 ÷ 3/24 ÷ 3 = 5/8

Step 5

Decimal & Percentage Representation

Dividing the numerator 5 by denominator 8 yields an exact terminating decimal of 0.625 (or 62.5%).

5 ÷ 8 = 0.625 (62.5%)

Visual Representation

The diagram below illustrates 2/8 plus 9/24 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/8`
Mixed Number Form	`5/8`
Decimal Form	`0.625`
Percentage	`62.5%`

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Frequently Asked Questions

What is 2/8 plus 9/24 as a fraction?

2/8 + 9/24 in simplest fraction form is 5/8.

What is 2/8 plus 9/24 as a decimal?

2/8 + 9/24 converted to a decimal is 0.625.

What is 2/8 plus 9/24 as a percentage?

2/8 + 9/24 expressed as a percentage is 62.5%.

Does 2/8 plus 9/24 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.625) because the denominator in simplest terms contains only prime factors 2 and/or 5.