What is 2/29 divided by 2/21? (Answer: 21/29)

Exact Answer

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Problem: What is 2/29 divided by 2/21?
Formula / Expression: 2/29 ÷ 2/21
Final Answer: 21/29
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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 2/21 to get 21/2.
Working: 2/29 ÷ 2/21 = 2/29 × 21/2

Step 2: Multiply the Numerators and Denominators
Multiply the new numerators (2 × 21 = 42) and denominators (29 × 2 = 58).
Working: 2 × 21/29 × 2 = 42/58

Step 3: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 42 and 58, which is 2. Divide both the numerator and denominator by 2.
Working: 42 ÷ 2/58 ÷ 2 = 21/29

Step 4: Decimal & Percentage Representation
Dividing the numerator 21 by denominator 29 produces a repeating decimal (approximately 0.724138, or 72.4138%).
Working: 21 ÷ 29 = 0.724138 (72.4138%)

Key Values:
- Simplified Fraction: 21/29
- Mixed Number Form: 21/29
- Decimal Value: 0.724138
- Percentage: 72.4138%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-29-divided-by-2-21/
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2/29 ÷ 2/21 = 21/29

Simplified Fraction

21/29

Mixed Number

Proper (21/29)

Decimal Value

0.724138

Percentage

72.4138%

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Step-by-Step Solution: 2/29 ÷ 2/21

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 2/21 to get 21/2.

2/29 ÷ 2/21 = 2/29 × 21/2

Step 2

Multiply the Numerators and Denominators

Multiply the new numerators (2 × 21 = 42) and denominators (29 × 2 = 58).

2 × 21/29 × 2 = 42/58

Step 3

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 42 and 58, which is 2. Divide both the numerator and denominator by 2.

42 ÷ 2/58 ÷ 2 = 21/29

Step 4

Decimal & Percentage Representation

Dividing the numerator 21 by denominator 29 produces a repeating decimal (approximately 0.724138, or 72.4138%).

21 ÷ 29 = 0.724138 (72.4138%)

Visual Representation

The diagram below illustrates 2/29 divided by 2/21 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`21/29`
Mixed Number Form	`21/29`
Decimal Form	`0.724138`
Percentage	`72.4138%`

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Frequently Asked Questions

What is 2/29 divided by 2/21 as a fraction?

2/29 ÷ 2/21 in simplest fraction form is 21/29.

What is 2/29 divided by 2/21 as a decimal?

2/29 ÷ 2/21 converted to a decimal is 0.724138.

What is 2/29 divided by 2/21 as a percentage?

2/29 ÷ 2/21 expressed as a percentage is 72.4138%.

Does 2/29 divided by 2/21 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.724138...) because the denominator contains prime factors other than 2 and 5.