What is 2/3 minus 6/9? (Answer: 0)

Exact Answer

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Problem: What is 2/3 minus 6/9?
Formula / Expression: 2/3 − 6/9
Final Answer: 0
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 9 is an exact multiple of 3 (3 × 3 = 9). The Least Common Denominator (LCD) is simply 9, meaning we only need to scale one fraction.
Working: LCD(3, 9) = 9

Step 2: Convert to Equivalent Fractions with Common Denominator 9
Multiply the numerator and denominator of 2/3 by 3, and multiply the numerator and denominator of 6/9 by 1 so both fractions share the common base 9.
Working: 2 × 3/3 × 3 = 6/9 and 6 × 1/9 × 1 = 6/9

Step 3: Subtract the Numerators
Now subtract the numerators (6 − 6 = 0) and keep the common denominator 9 unchanged.
Working: 6 − 6/9 = 0/9

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 0 and 9 is 1, confirming that 0/1 cannot be reduced further—it is already in its simplest irreducible form.

Step 5: Decimal & Percentage Representation
Dividing the numerator 0 by denominator 1 yields an exact terminating decimal of 0 (or 0%).
Working: 0 ÷ 1 = 0 (0%)

Key Values:
- Decimal Value: 0
- Percentage: 0%

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2/3 − 6/9 = 0

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Step-by-Step Solution: 2/3 − 6/9

Step 1

Find the Least Common Denominator (LCD)

Notice that 9 is an exact multiple of 3 (3 × 3 = 9). The Least Common Denominator (LCD) is simply 9, meaning we only need to scale one fraction.

LCD(3, 9) = 9

Step 2

Convert to Equivalent Fractions with Common Denominator 9

Multiply the numerator and denominator of 2/3 by 3, and multiply the numerator and denominator of 6/9 by 1 so both fractions share the common base 9.

2 × 3/3 × 3 = 6/9 and 6 × 1/9 × 1 = 6/9

Step 3

Subtract the Numerators

Now subtract the numerators (6 − 6 = 0) and keep the common denominator 9 unchanged.

6 − 6/9 = 0/9

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 0 and 9 is 1, confirming that 0/1 cannot be reduced further—it is already in its simplest irreducible form.

Step 5

Decimal & Percentage Representation

Dividing the numerator 0 by denominator 1 yields an exact terminating decimal of 0 (or 0%).

0 ÷ 1 = 0 (0%)

Visual Representation

The diagram below illustrates 2/3 minus 6/9 visually:

−

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`0`
Mixed Number Form	`0`
Decimal Form	`0`
Percentage	`0%`

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Frequently Asked Questions

What is 2/3 minus 6/9 as a fraction?

2/3 − 6/9 in simplest fraction form is 0.

What is 2/3 minus 6/9 as a decimal?

2/3 − 6/9 converted to a decimal is 0.

What is 2/3 minus 6/9 as a percentage?

2/3 − 6/9 expressed as a percentage is 0%.

Is the answer to 2/3 minus 6/9 a whole number?

Yes, 2/3 − 6/9 simplifies completely to the whole number 0 with no remaining fractional part.