What is 3/16 plus 2/8? (Answer: 7/16)

Exact Answer

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Problem: What is 3/16 plus 2/8?
Formula / Expression: 3/16 + 2/8
Final Answer: 7/16
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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 3/16 by 1, and multiply the numerator and denominator of 2/8 by 2 so both fractions share the common base 16.
Working: 3 × 1/16 × 1 = 3/16 and 2 × 2/8 × 2 = 4/16

Step 3: Add the Numerators
Now add the numerators (3 + 4 = 7) and keep the common denominator 16 unchanged.
Working: 3 + 4/16 = 7/16

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 7 and 16 is 1, confirming that 7/16 cannot be reduced further—it is already in its simplest irreducible form.
Working: 7/16

Step 5: Decimal & Percentage Representation
Dividing the numerator 7 by denominator 16 yields an exact terminating decimal of 0.4375 (or 43.75%).
Working: 7 ÷ 16 = 0.4375 (43.75%)

Key Values:
- Simplified Fraction: 7/16
- Mixed Number Form: 7/16
- Decimal Value: 0.4375
- Percentage: 43.75%

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Solved with FractionsCalc:
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3/16 + 2/8 = 7/16

Simplified Fraction

7/16

Mixed Number

Proper (7/16)

Decimal Value

0.4375

Percentage

43.75%

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Step-by-Step Solution: 3/16 + 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 3/16 by 1, and multiply the numerator and denominator of 2/8 by 2 so both fractions share the common base 16.

3 × 1/16 × 1 = 3/16 and 2 × 2/8 × 2 = 4/16

Step 3

Add the Numerators

Now add the numerators (3 + 4 = 7) and keep the common denominator 16 unchanged.

3 + 4/16 = 7/16

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 7 and 16 is 1, confirming that 7/16 cannot be reduced further—it is already in its simplest irreducible form.

7/16

Step 5

Decimal & Percentage Representation

Dividing the numerator 7 by denominator 16 yields an exact terminating decimal of 0.4375 (or 43.75%).

7 ÷ 16 = 0.4375 (43.75%)

Visual Representation

The diagram below illustrates 3/16 plus 2/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/16`
Mixed Number Form	`7/16`
Decimal Form	`0.4375`
Percentage	`43.75%`

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Frequently Asked Questions

What is 3/16 plus 2/8 as a fraction?

3/16 + 2/8 in simplest fraction form is 7/16.

What is 3/16 plus 2/8 as a decimal?

3/16 + 2/8 converted to a decimal is 0.4375.

What is 3/16 plus 2/8 as a percentage?

3/16 + 2/8 expressed as a percentage is 43.75%.

Does 3/16 plus 2/8 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.4375) because the denominator in simplest terms contains only prime factors 2 and/or 5.