What is 5/16 plus 2/6? (Answer: 31/48)

Exact Answer

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Problem: What is 5/16 plus 2/6?
Formula / Expression: 5/16 + 2/6
Final Answer: 31/48
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 16 and 6 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 48 (which is smaller than their product 16 × 6 = 96, keeping the calculation simpler).
Working: LCD(16, 6) = 48

Step 2: Convert to Equivalent Fractions with Common Denominator 48
Multiply the numerator and denominator of 5/16 by 3, and multiply the numerator and denominator of 2/6 by 8 so both fractions share the common base 48.
Working: 5 × 3/16 × 3 = 15/48 and 2 × 8/6 × 8 = 16/48

Step 3: Add the Numerators
Now add the numerators (15 + 16 = 31) and keep the common denominator 48 unchanged.
Working: 15 + 16/48 = 31/48

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 31 and 48 is 1, confirming that 31/48 cannot be reduced further—it is already in its simplest irreducible form.
Working: 31/48

Step 5: Decimal & Percentage Representation
Dividing the numerator 31 by denominator 48 produces a repeating decimal (approximately 0.645833, or 64.5833%).
Working: 31 ÷ 48 = 0.645833 (64.5833%)

Key Values:
- Simplified Fraction: 31/48
- Mixed Number Form: 31/48
- Decimal Value: 0.645833
- Percentage: 64.5833%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-5-16-plus-2-6/
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5/16 + 2/6 = 31/48

Simplified Fraction

31/48

Mixed Number

Proper (31/48)

Decimal Value

0.645833

Percentage

64.5833%

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Step-by-Step Solution: 5/16 + 2/6

Step 1

Find the Least Common Denominator (LCD)

The denominators 16 and 6 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 48 (which is smaller than their product 16 × 6 = 96, keeping the calculation simpler).

LCD(16, 6) = 48

Step 2

Convert to Equivalent Fractions with Common Denominator 48

Multiply the numerator and denominator of 5/16 by 3, and multiply the numerator and denominator of 2/6 by 8 so both fractions share the common base 48.

5 × 3/16 × 3 = 15/48 and 2 × 8/6 × 8 = 16/48

Step 3

Add the Numerators

Now add the numerators (15 + 16 = 31) and keep the common denominator 48 unchanged.

15 + 16/48 = 31/48

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 31 and 48 is 1, confirming that 31/48 cannot be reduced further—it is already in its simplest irreducible form.

31/48

Step 5

Decimal & Percentage Representation

Dividing the numerator 31 by denominator 48 produces a repeating decimal (approximately 0.645833, or 64.5833%).

31 ÷ 48 = 0.645833 (64.5833%)

Visual Representation

The diagram below illustrates 5/16 plus 2/6 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`31/48`
Mixed Number Form	`31/48`
Decimal Form	`0.645833`
Percentage	`64.5833%`

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Frequently Asked Questions

What is 5/16 plus 2/6 as a fraction?

5/16 + 2/6 in simplest fraction form is 31/48.

What is 5/16 plus 2/6 as a decimal?

5/16 + 2/6 converted to a decimal is 0.645833.

What is 5/16 plus 2/6 as a percentage?

5/16 + 2/6 expressed as a percentage is 64.5833%.

Does 5/16 plus 2/6 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.645833...) because the denominator contains prime factors other than 2 and 5.