What is 4/16 plus 2/3? (Answer: 11/12)

Exact Answer

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Problem: What is 4/16 plus 2/3?
Formula / Expression: 4/16 + 2/3
Final Answer: 11/12
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 16 and 3 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 16 × 3 = 48.
Working: LCD(16, 3) = 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 2/3 by 16 so both fractions share the common base 48.
Working: 4 × 3/16 × 3 = 12/48 and 2 × 16/3 × 16 = 32/48

Step 3: Add the Numerators
Now add the numerators (12 + 32 = 44) and keep the common denominator 48 unchanged.
Working: 12 + 32/48 = 44/48

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 44 and 48, which is 4. Divide both the numerator and denominator by 4.
Working: 44 ÷ 4/48 ÷ 4 = 11/12

Step 5: Decimal & Percentage Representation
Dividing the numerator 11 by denominator 12 produces a repeating decimal (approximately 0.916667, or 91.6667%).
Working: 11 ÷ 12 = 0.916667 (91.6667%)

Key Values:
- Simplified Fraction: 11/12
- Mixed Number Form: 11/12
- Decimal Value: 0.916667
- Percentage: 91.6667%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-4-16-plus-2-3/
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4/16 + 2/3 = 11/12

Simplified Fraction

11/12

Mixed Number

Proper (11/12)

Decimal Value

0.916667

Percentage

91.6667%

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Step-by-Step Solution: 4/16 + 2/3

Step 1

Find the Least Common Denominator (LCD)

The denominators 16 and 3 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 16 × 3 = 48.

LCD(16, 3) = 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 2/3 by 16 so both fractions share the common base 48.

4 × 3/16 × 3 = 12/48 and 2 × 16/3 × 16 = 32/48

Step 3

Add the Numerators

Now add the numerators (12 + 32 = 44) and keep the common denominator 48 unchanged.

12 + 32/48 = 44/48

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 44 and 48, which is 4. Divide both the numerator and denominator by 4.

44 ÷ 4/48 ÷ 4 = 11/12

Step 5

Decimal & Percentage Representation

Dividing the numerator 11 by denominator 12 produces a repeating decimal (approximately 0.916667, or 91.6667%).

11 ÷ 12 = 0.916667 (91.6667%)

Visual Representation

The diagram below illustrates 4/16 plus 2/3 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`11/12`
Mixed Number Form	`11/12`
Decimal Form	`0.916667`
Percentage	`91.6667%`

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Frequently Asked Questions

What is 4/16 plus 2/3 as a fraction?

4/16 + 2/3 in simplest fraction form is 11/12.

What is 4/16 plus 2/3 as a decimal?

4/16 + 2/3 converted to a decimal is 0.916667.

What is 4/16 plus 2/3 as a percentage?

4/16 + 2/3 expressed as a percentage is 91.6667%.

Does 4/16 plus 2/3 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.916667...) because the denominator contains prime factors other than 2 and 5.