What is 2/32 plus 2/6? (Answer: 19/48)

Exact Answer

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Problem: What is 2/32 plus 2/6?
Formula / Expression: 2/32 + 2/6
Final Answer: 19/48
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 32 and 6 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 96 (which is smaller than their product 32 × 6 = 192, keeping the calculation simpler).
Working: LCD(32, 6) = 96

Step 2: Convert to Equivalent Fractions with Common Denominator 96
Multiply the numerator and denominator of 2/32 by 3, and multiply the numerator and denominator of 2/6 by 16 so both fractions share the common base 96.
Working: 2 × 3/32 × 3 = 6/96 and 2 × 16/6 × 16 = 32/96

Step 3: Add the Numerators
Now add the numerators (6 + 32 = 38) and keep the common denominator 96 unchanged.
Working: 6 + 32/96 = 38/96

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 38 and 96, which is 2. Divide both the numerator and denominator by 2.
Working: 38 ÷ 2/96 ÷ 2 = 19/48

Step 5: Decimal & Percentage Representation
Dividing the numerator 19 by denominator 48 produces a repeating decimal (approximately 0.395833, or 39.5833%).
Working: 19 ÷ 48 = 0.395833 (39.5833%)

Key Values:
- Simplified Fraction: 19/48
- Mixed Number Form: 19/48
- Decimal Value: 0.395833
- Percentage: 39.5833%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-32-plus-2-6/
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2/32 + 2/6 = 19/48

Simplified Fraction

19/48

Mixed Number

Proper (19/48)

Decimal Value

0.395833

Percentage

39.5833%

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Step-by-Step Solution: 2/32 + 2/6

Step 1

Find the Least Common Denominator (LCD)

The denominators 32 and 6 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 96 (which is smaller than their product 32 × 6 = 192, keeping the calculation simpler).

LCD(32, 6) = 96

Step 2

Convert to Equivalent Fractions with Common Denominator 96

Multiply the numerator and denominator of 2/32 by 3, and multiply the numerator and denominator of 2/6 by 16 so both fractions share the common base 96.

2 × 3/32 × 3 = 6/96 and 2 × 16/6 × 16 = 32/96

Step 3

Add the Numerators

Now add the numerators (6 + 32 = 38) and keep the common denominator 96 unchanged.

6 + 32/96 = 38/96

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 38 and 96, which is 2. Divide both the numerator and denominator by 2.

38 ÷ 2/96 ÷ 2 = 19/48

Step 5

Decimal & Percentage Representation

Dividing the numerator 19 by denominator 48 produces a repeating decimal (approximately 0.395833, or 39.5833%).

19 ÷ 48 = 0.395833 (39.5833%)

Visual Representation

The diagram below illustrates 2/32 plus 2/6 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`19/48`
Mixed Number Form	`19/48`
Decimal Form	`0.395833`
Percentage	`39.5833%`

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Frequently Asked Questions

What is 2/32 plus 2/6 as a fraction?

2/32 + 2/6 in simplest fraction form is 19/48.

What is 2/32 plus 2/6 as a decimal?

2/32 + 2/6 converted to a decimal is 0.395833.

What is 2/32 plus 2/6 as a percentage?

2/32 + 2/6 expressed as a percentage is 39.5833%.

Does 2/32 plus 2/6 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.395833...) because the denominator contains prime factors other than 2 and 5.