What is 3/24 plus 2/8? (Answer: 3/8)

Exact Answer

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Problem: What is 3/24 plus 2/8?
Formula / Expression: 3/24 + 2/8
Final Answer: 3/8
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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(24, 8) = 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 2/8 by 3 so both fractions share the common base 24.
Working: 3 × 1/24 × 1 = 3/24 and 2 × 3/8 × 3 = 6/24

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

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 9 and 24, which is 3. Divide both the numerator and denominator by 3.
Working: 9 ÷ 3/24 ÷ 3 = 3/8

Step 5: Decimal & Percentage Representation
Dividing the numerator 3 by denominator 8 yields an exact terminating decimal of 0.375 (or 37.5%).
Working: 3 ÷ 8 = 0.375 (37.5%)

Key Values:
- Simplified Fraction: 3/8
- Mixed Number Form: 3/8
- Decimal Value: 0.375
- Percentage: 37.5%

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Solved with FractionsCalc:
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3/24 + 2/8 = 3/8

Simplified Fraction

3/8

Mixed Number

Proper (3/8)

Decimal Value

0.375

Percentage

37.5%

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Step-by-Step Solution: 3/24 + 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 3/24 by 1, and multiply the numerator and denominator of 2/8 by 3 so both fractions share the common base 24.

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

Step 3

Add the Numerators

Now add the numerators (3 + 6 = 9) and keep the common denominator 24 unchanged.

3 + 6/24 = 9/24

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 9 and 24, which is 3. Divide both the numerator and denominator by 3.

9 ÷ 3/24 ÷ 3 = 3/8

Step 5

Decimal & Percentage Representation

Dividing the numerator 3 by denominator 8 yields an exact terminating decimal of 0.375 (or 37.5%).

3 ÷ 8 = 0.375 (37.5%)

Visual Representation

The diagram below illustrates 3/24 plus 2/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`3/8`
Mixed Number Form	`3/8`
Decimal Form	`0.375`
Percentage	`37.5%`

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Frequently Asked Questions

What is 3/24 plus 2/8 as a fraction?

3/24 + 2/8 in simplest fraction form is 3/8.

What is 3/24 plus 2/8 as a decimal?

3/24 + 2/8 converted to a decimal is 0.375.

What is 3/24 plus 2/8 as a percentage?

3/24 + 2/8 expressed as a percentage is 37.5%.

Does 3/24 plus 2/8 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.375) because the denominator in simplest terms contains only prime factors 2 and/or 5.