What is 8/24 plus 2/3? (Answer: 1)

Exact Answer

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Problem: What is 8/24 plus 2/3?
Formula / Expression: 8/24 + 2/3
Final Answer: 1
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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 8/24 by 1, and multiply the numerator and denominator of 2/3 by 8 so both fractions share the common base 24.
Working: 8 × 1/24 × 1 = 8/24 and 2 × 8/3 × 8 = 16/24

Step 3: Add the Numerators
Now add the numerators (8 + 16 = 24) and keep the common denominator 24 unchanged.
Working: 8 + 16/24 = 24/24

Step 4: Simplify to an Exact Whole Number
Notice that the numerator (24) is completely divisible by the denominator (24). Dividing 24 by 24 yields the whole number 1 with zero remainder.
Working: 24/24 = 1

Step 5: Decimal & Percentage Representation
Dividing the numerator 1 by denominator 1 yields an exact terminating decimal of 1 (or 100%).
Working: 1 ÷ 1 = 1 (100%)

Key Values:
- Simplified Fraction: 1
- Mixed Number Form: 1
- Decimal Value: 1
- Percentage: 100%

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Solved with FractionsCalc:
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8/24 + 2/3 = 1

Simplified Fraction

Mixed Number

Decimal Value

Percentage

100%

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

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

Step 3

Add the Numerators

Now add the numerators (8 + 16 = 24) and keep the common denominator 24 unchanged.

8 + 16/24 = 24/24

Step 4

Simplify to an Exact Whole Number

Notice that the numerator (24) is completely divisible by the denominator (24). Dividing 24 by 24 yields the whole number 1 with zero remainder.

24/24 = 1

Step 5

Decimal & Percentage Representation

Dividing the numerator 1 by denominator 1 yields an exact terminating decimal of 1 (or 100%).

1 ÷ 1 = 1 (100%)

Visual Representation

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

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`1`
Mixed Number Form	`1`
Decimal Form	`1`
Percentage	`100%`

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Frequently Asked Questions

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

8/24 + 2/3 in simplest fraction form is 1.

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

8/24 + 2/3 converted to a decimal is 1.

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

8/24 + 2/3 expressed as a percentage is 100%.

Is the answer to 8/24 plus 2/3 a whole number?

Yes, 8/24 + 2/3 simplifies completely to the whole number 1 with no remaining fractional part.