What is 2/6 divided by 7/21? (Answer: 1)

Exact Answer

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Problem: What is 2/6 divided by 7/21?
Formula / Expression: 2/6 ÷ 7/21
Final Answer: 1
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Step-by-Step Solution:

Step 1: Find the Reciprocal of the Second Fraction
Dividing by a fraction is equivalent to multiplying by its reciprocal ("Keep, Change, Flip"). Invert the second fraction 7/21 to get 21/7.
Working: 2/6 ÷ 7/21 = 2/6 × 21/7

Step 2: Multiply the Numerators and Denominators
Multiply the new numerators (2 × 21 = 42) and denominators (6 × 7 = 42).
Working: 2 × 21/6 × 7 = 42/42

Step 3: Simplify to an Exact Whole Number
Notice that the numerator (42) is completely divisible by the denominator (42). Dividing 42 by 42 yields the whole number 1 with zero remainder.
Working: 42/42 = 1

Step 4: Decimal & Percentage Representation
Dividing the numerator 1 by denominator 1 yields an exact terminating decimal of 1 (or 100%).
Working: 1 ÷ 1 = 1 (100%)

Key Values:
- Simplified Fraction: 1
- Mixed Number Form: 1
- Decimal Value: 1
- Percentage: 100%

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2/6 ÷ 7/21 = 1

Simplified Fraction

Mixed Number

Decimal Value

Percentage

100%

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Step-by-Step Solution: 2/6 ÷ 7/21

Step 1

Find the Reciprocal of the Second Fraction

Dividing by a fraction is equivalent to multiplying by its reciprocal ("Keep, Change, Flip"). Invert the second fraction 7/21 to get 21/7.

2/6 ÷ 7/21 = 2/6 × 21/7

Step 2

Multiply the Numerators and Denominators

Multiply the new numerators (2 × 21 = 42) and denominators (6 × 7 = 42).

2 × 21/6 × 7 = 42/42

Step 3

Simplify to an Exact Whole Number

Notice that the numerator (42) is completely divisible by the denominator (42). Dividing 42 by 42 yields the whole number 1 with zero remainder.

42/42 = 1

Step 4

Decimal & Percentage Representation

Dividing the numerator 1 by denominator 1 yields an exact terminating decimal of 1 (or 100%).

1 ÷ 1 = 1 (100%)

Visual Representation

The diagram below illustrates 2/6 divided by 7/21 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`1`
Mixed Number Form	`1`
Decimal Form	`1`
Percentage	`100%`

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Frequently Asked Questions

What is 2/6 divided by 7/21 as a fraction?

2/6 ÷ 7/21 in simplest fraction form is 1.

What is 2/6 divided by 7/21 as a decimal?

2/6 ÷ 7/21 converted to a decimal is 1.

What is 2/6 divided by 7/21 as a percentage?

2/6 ÷ 7/21 expressed as a percentage is 100%.

Is the answer to 2/6 divided by 7/21 a whole number?

Yes, 2/6 ÷ 7/21 simplifies completely to the whole number 1 with no remaining fractional part.