What is 4/16 plus 2/6? (Answer: 7/12)

Exact Answer

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Problem: What is 4/16 plus 2/6?
Formula / Expression: 4/16 + 2/6
Final Answer: 7/12
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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 4/16 by 3, and multiply the numerator and denominator of 2/6 by 8 so both fractions share the common base 48.
Working: 4 × 3/16 × 3 = 12/48 and 2 × 8/6 × 8 = 16/48

Step 3: Add the Numerators
Now add the numerators (12 + 16 = 28) and keep the common denominator 48 unchanged.
Working: 12 + 16/48 = 28/48

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 28 and 48, which is 4. Divide both the numerator and denominator by 4.
Working: 28 ÷ 4/48 ÷ 4 = 7/12

Step 5: Decimal & Percentage Representation
Dividing the numerator 7 by denominator 12 produces a repeating decimal (approximately 0.583333, or 58.3333%).
Working: 7 ÷ 12 = 0.583333 (58.3333%)

Key Values:
- Simplified Fraction: 7/12
- Mixed Number Form: 7/12
- Decimal Value: 0.583333
- Percentage: 58.3333%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-4-16-plus-2-6/
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4/16 + 2/6 = 7/12

Simplified Fraction

7/12

Mixed Number

Proper (7/12)

Decimal Value

0.583333

Percentage

58.3333%

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Step-by-Step Solution: 4/16 + 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 4/16 by 3, and multiply the numerator and denominator of 2/6 by 8 so both fractions share the common base 48.

4 × 3/16 × 3 = 12/48 and 2 × 8/6 × 8 = 16/48

Step 3

Add the Numerators

Now add the numerators (12 + 16 = 28) and keep the common denominator 48 unchanged.

12 + 16/48 = 28/48

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 28 and 48, which is 4. Divide both the numerator and denominator by 4.

28 ÷ 4/48 ÷ 4 = 7/12

Step 5

Decimal & Percentage Representation

Dividing the numerator 7 by denominator 12 produces a repeating decimal (approximately 0.583333, or 58.3333%).

7 ÷ 12 = 0.583333 (58.3333%)

Visual Representation

The diagram below illustrates 4/16 plus 2/6 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/12`
Mixed Number Form	`7/12`
Decimal Form	`0.583333`
Percentage	`58.3333%`

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Frequently Asked Questions

What is 4/16 plus 2/6 as a fraction?

4/16 + 2/6 in simplest fraction form is 7/12.

What is 4/16 plus 2/6 as a decimal?

4/16 + 2/6 converted to a decimal is 0.583333.

What is 4/16 plus 2/6 as a percentage?

4/16 + 2/6 expressed as a percentage is 58.3333%.

Does 4/16 plus 2/6 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.583333...) because the denominator contains prime factors other than 2 and 5.