What is 2/8 plus 5/16? (Answer: 9/16)

Exact Answer

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Problem: What is 2/8 plus 5/16?
Formula / Expression: 2/8 + 5/16
Final Answer: 9/16
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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 5/16 by 1 so both fractions share the common base 16.
Working: 2 × 2/8 × 2 = 4/16 and 5 × 1/16 × 1 = 5/16

Step 3: Add the Numerators
Now add the numerators (4 + 5 = 9) and keep the common denominator 16 unchanged.
Working: 4 + 5/16 = 9/16

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 9 and 16 is 1, confirming that 9/16 cannot be reduced further—it is already in its simplest irreducible form.
Working: 9/16

Step 5: Decimal & Percentage Representation
Dividing the numerator 9 by denominator 16 yields an exact terminating decimal of 0.5625 (or 56.25%).
Working: 9 ÷ 16 = 0.5625 (56.25%)

Key Values:
- Simplified Fraction: 9/16
- Mixed Number Form: 9/16
- Decimal Value: 0.5625
- Percentage: 56.25%

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Solved with FractionsCalc:
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2/8 + 5/16 = 9/16

Simplified Fraction

9/16

Mixed Number

Proper (9/16)

Decimal Value

0.5625

Percentage

56.25%

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Step-by-Step Solution: 2/8 + 5/16

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 5/16 by 1 so both fractions share the common base 16.

2 × 2/8 × 2 = 4/16 and 5 × 1/16 × 1 = 5/16

Step 3

Add the Numerators

Now add the numerators (4 + 5 = 9) and keep the common denominator 16 unchanged.

4 + 5/16 = 9/16

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 9 and 16 is 1, confirming that 9/16 cannot be reduced further—it is already in its simplest irreducible form.

9/16

Step 5

Decimal & Percentage Representation

Dividing the numerator 9 by denominator 16 yields an exact terminating decimal of 0.5625 (or 56.25%).

9 ÷ 16 = 0.5625 (56.25%)

Visual Representation

The diagram below illustrates 2/8 plus 5/16 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`9/16`
Mixed Number Form	`9/16`
Decimal Form	`0.5625`
Percentage	`56.25%`

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Frequently Asked Questions

What is 2/8 plus 5/16 as a fraction?

2/8 + 5/16 in simplest fraction form is 9/16.

What is 2/8 plus 5/16 as a decimal?

2/8 + 5/16 converted to a decimal is 0.5625.

What is 2/8 plus 5/16 as a percentage?

2/8 + 5/16 expressed as a percentage is 56.25%.

Does 2/8 plus 5/16 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.5625) because the denominator in simplest terms contains only prime factors 2 and/or 5.