What is 2/3 minus 2/4? (Answer: 1/6)

Exact Answer

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Problem: What is 2/3 minus 2/4?
Formula / Expression: 2/3 − 2/4
Final Answer: 1/6
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 3 and 4 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 3 × 4 = 12.
Working: LCD(3, 4) = 12

Step 2: Convert to Equivalent Fractions with Common Denominator 12
Multiply the numerator and denominator of 2/3 by 4, and multiply the numerator and denominator of 2/4 by 3 so both fractions share the common base 12.
Working: 2 × 4/3 × 4 = 8/12 and 2 × 3/4 × 3 = 6/12

Step 3: Subtract the Numerators
Now subtract the numerators (8 − 6 = 2) and keep the common denominator 12 unchanged.
Working: 8 − 6/12 = 2/12

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 2 and 12, which is 2. Divide both the numerator and denominator by 2.
Working: 2 ÷ 2/12 ÷ 2 = 1/6

Step 5: Decimal & Percentage Representation
Dividing the numerator 1 by denominator 6 produces a repeating decimal (approximately 0.166667, or 16.6667%).
Working: 1 ÷ 6 = 0.166667 (16.6667%)

Key Values:
- Simplified Fraction: 1/6
- Mixed Number Form: 1/6
- Decimal Value: 0.166667
- Percentage: 16.6667%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-3-minus-2-4/
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2/3 − 2/4 = 1/6

Simplified Fraction

1/6

Mixed Number

Proper (1/6)

Decimal Value

0.166667

Percentage

16.6667%

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Step-by-Step Solution: 2/3 − 2/4

Step 1

Find the Least Common Denominator (LCD)

The denominators 3 and 4 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 3 × 4 = 12.

LCD(3, 4) = 12

Step 2

Convert to Equivalent Fractions with Common Denominator 12

Multiply the numerator and denominator of 2/3 by 4, and multiply the numerator and denominator of 2/4 by 3 so both fractions share the common base 12.

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

Step 3

Subtract the Numerators

Now subtract the numerators (8 − 6 = 2) and keep the common denominator 12 unchanged.

8 − 6/12 = 2/12

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 2 and 12, which is 2. Divide both the numerator and denominator by 2.

2 ÷ 2/12 ÷ 2 = 1/6

Step 5

Decimal & Percentage Representation

Dividing the numerator 1 by denominator 6 produces a repeating decimal (approximately 0.166667, or 16.6667%).

1 ÷ 6 = 0.166667 (16.6667%)

Visual Representation

The diagram below illustrates 2/3 minus 2/4 visually:

−

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`1/6`
Mixed Number Form	`1/6`
Decimal Form	`0.166667`
Percentage	`16.6667%`

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Frequently Asked Questions

What is 2/3 minus 2/4 as a fraction?

2/3 − 2/4 in simplest fraction form is 1/6.

What is 2/3 minus 2/4 as a decimal?

2/3 − 2/4 converted to a decimal is 0.166667.

What is 2/3 minus 2/4 as a percentage?

2/3 − 2/4 expressed as a percentage is 16.6667%.

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

It results in a repeating decimal (approximately 0.166667...) because the denominator contains prime factors other than 2 and 5.