What is 2/8 plus 8/16? (Answer: 3/4)

Exact Answer

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Problem: What is 2/8 plus 8/16?
Formula / Expression: 2/8 + 8/16
Final Answer: 3/4
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 16 is an exact multiple of 8 (8 × 2 = 16). The Least Common Denominator (LCD) is simply 16, meaning we only need to scale one fraction.
Working: LCD(8, 16) = 16

Step 2: Convert to Equivalent Fractions with Common Denominator 16
Multiply the numerator and denominator of 2/8 by 2, and multiply the numerator and denominator of 8/16 by 1 so both fractions share the common base 16.
Working: 2 × 2/8 × 2 = 4/16 and 8 × 1/16 × 1 = 8/16

Step 3: Add the Numerators
Now add the numerators (4 + 8 = 12) and keep the common denominator 16 unchanged.
Working: 4 + 8/16 = 12/16

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 12 and 16, which is 4. Divide both the numerator and denominator by 4.
Working: 12 ÷ 4/16 ÷ 4 = 3/4

Step 5: Decimal & Percentage Representation
Dividing the numerator 3 by denominator 4 yields an exact terminating decimal of 0.75 (or 75%).
Working: 3 ÷ 4 = 0.75 (75%)

Key Values:
- Simplified Fraction: 3/4
- Mixed Number Form: 3/4
- Decimal Value: 0.75
- Percentage: 75%

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Solved with FractionsCalc:
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2/8 + 8/16 = 3/4

Simplified Fraction

3/4

Mixed Number

Proper (3/4)

Decimal Value

0.75

Percentage

75%

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Step-by-Step Solution: 2/8 + 8/16

Step 1

Find the Least Common Denominator (LCD)

Notice that 16 is an exact multiple of 8 (8 × 2 = 16). The Least Common Denominator (LCD) is simply 16, meaning we only need to scale one fraction.

LCD(8, 16) = 16

Step 2

Convert to Equivalent Fractions with Common Denominator 16

Multiply the numerator and denominator of 2/8 by 2, and multiply the numerator and denominator of 8/16 by 1 so both fractions share the common base 16.

2 × 2/8 × 2 = 4/16 and 8 × 1/16 × 1 = 8/16

Step 3

Add the Numerators

Now add the numerators (4 + 8 = 12) and keep the common denominator 16 unchanged.

4 + 8/16 = 12/16

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 12 and 16, which is 4. Divide both the numerator and denominator by 4.

12 ÷ 4/16 ÷ 4 = 3/4

Step 5

Decimal & Percentage Representation

Dividing the numerator 3 by denominator 4 yields an exact terminating decimal of 0.75 (or 75%).

3 ÷ 4 = 0.75 (75%)

Visual Representation

The diagram below illustrates 2/8 plus 8/16 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`3/4`
Mixed Number Form	`3/4`
Decimal Form	`0.75`
Percentage	`75%`

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Frequently Asked Questions

What is 2/8 plus 8/16 as a fraction?

2/8 + 8/16 in simplest fraction form is 3/4.

What is 2/8 plus 8/16 as a decimal?

2/8 + 8/16 converted to a decimal is 0.75.

What is 2/8 plus 8/16 as a percentage?

2/8 + 8/16 expressed as a percentage is 75%.

Does 2/8 plus 8/16 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.75) because the denominator in simplest terms contains only prime factors 2 and/or 5.