What is 3/7 divided by 9/21? (Answer: 1)

Exact Answer

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Problem: What is 3/7 divided by 9/21?
Formula / Expression: 3/7 ÷ 9/21
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 9/21 to get 21/9.
Working: 3/7 ÷ 9/21 = 3/7 × 21/9

Step 2: Multiply the Numerators and Denominators
Multiply the new numerators (3 × 21 = 63) and denominators (7 × 9 = 63).
Working: 3 × 21/7 × 9 = 63/63

Step 3: Simplify to an Exact Whole Number
Notice that the numerator (63) is completely divisible by the denominator (63). Dividing 63 by 63 yields the whole number 1 with zero remainder.
Working: 63/63 = 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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3/7 ÷ 9/21 = 1

Simplified Fraction

Mixed Number

Decimal Value

Percentage

100%

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Step-by-Step Solution: 3/7 ÷ 9/21

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 9/21 to get 21/9.

3/7 ÷ 9/21 = 3/7 × 21/9

Step 2

Multiply the Numerators and Denominators

Multiply the new numerators (3 × 21 = 63) and denominators (7 × 9 = 63).

3 × 21/7 × 9 = 63/63

Step 3

Simplify to an Exact Whole Number

Notice that the numerator (63) is completely divisible by the denominator (63). Dividing 63 by 63 yields the whole number 1 with zero remainder.

63/63 = 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 3/7 divided by 9/21 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 3/7 divided by 9/21 as a fraction?

3/7 ÷ 9/21 in simplest fraction form is 1.

What is 3/7 divided by 9/21 as a decimal?

3/7 ÷ 9/21 converted to a decimal is 1.

What is 3/7 divided by 9/21 as a percentage?

3/7 ÷ 9/21 expressed as a percentage is 100%.

Is the answer to 3/7 divided by 9/21 a whole number?

Yes, 3/7 ÷ 9/21 simplifies completely to the whole number 1 with no remaining fractional part.