What is 1/16 plus 2/8? (Answer: 5/16)

Exact Answer

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Problem: What is 1/16 plus 2/8?
Formula / Expression: 1/16 + 2/8
Final Answer: 5/16
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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(16, 8) = 16

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

Step 3: Add the Numerators
Now add the numerators (1 + 4 = 5) and keep the common denominator 16 unchanged.
Working: 1 + 4/16 = 5/16

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 5 and 16 is 1, confirming that 5/16 cannot be reduced further—it is already in its simplest irreducible form.
Working: 5/16

Step 5: Decimal & Percentage Representation
Dividing the numerator 5 by denominator 16 yields an exact terminating decimal of 0.3125 (or 31.25%).
Working: 5 ÷ 16 = 0.3125 (31.25%)

Key Values:
- Simplified Fraction: 5/16
- Mixed Number Form: 5/16
- Decimal Value: 0.3125
- Percentage: 31.25%

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Solved with FractionsCalc:
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1/16 + 2/8 = 5/16

Simplified Fraction

5/16

Mixed Number

Proper (5/16)

Decimal Value

0.3125

Percentage

31.25%

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Step-by-Step Solution: 1/16 + 2/8

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(16, 8) = 16

Step 2

Convert to Equivalent Fractions with Common Denominator 16

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

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

Step 3

Add the Numerators

Now add the numerators (1 + 4 = 5) and keep the common denominator 16 unchanged.

1 + 4/16 = 5/16

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 5 and 16 is 1, confirming that 5/16 cannot be reduced further—it is already in its simplest irreducible form.

5/16

Step 5

Decimal & Percentage Representation

Dividing the numerator 5 by denominator 16 yields an exact terminating decimal of 0.3125 (or 31.25%).

5 ÷ 16 = 0.3125 (31.25%)

Visual Representation

The diagram below illustrates 1/16 plus 2/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/16`
Mixed Number Form	`5/16`
Decimal Form	`0.3125`
Percentage	`31.25%`

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Frequently Asked Questions

What is 1/16 plus 2/8 as a fraction?

1/16 + 2/8 in simplest fraction form is 5/16.

What is 1/16 plus 2/8 as a decimal?

1/16 + 2/8 converted to a decimal is 0.3125.

What is 1/16 plus 2/8 as a percentage?

1/16 + 2/8 expressed as a percentage is 31.25%.

Does 1/16 plus 2/8 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.3125) because the denominator in simplest terms contains only prime factors 2 and/or 5.