What is 2/4 divided by 11/21? (Answer: 21/22)

Exact Answer

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Problem: What is 2/4 divided by 11/21?
Formula / Expression: 2/4 ÷ 11/21
Final Answer: 21/22
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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 11/21 to get 21/11.
Working: 2/4 ÷ 11/21 = 2/4 × 21/11

Step 2: Multiply the Numerators and Denominators
Multiply the new numerators (2 × 21 = 42) and denominators (4 × 11 = 44).
Working: 2 × 21/4 × 11 = 42/44

Step 3: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 42 and 44, which is 2. Divide both the numerator and denominator by 2.
Working: 42 ÷ 2/44 ÷ 2 = 21/22

Step 4: Decimal & Percentage Representation
Dividing the numerator 21 by denominator 22 produces a repeating decimal (approximately 0.954545, or 95.4545%).
Working: 21 ÷ 22 = 0.954545 (95.4545%)

Key Values:
- Simplified Fraction: 21/22
- Mixed Number Form: 21/22
- Decimal Value: 0.954545
- Percentage: 95.4545%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-4-divided-by-11-21/
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2/4 ÷ 11/21 = 21/22

Simplified Fraction

21/22

Mixed Number

Proper (21/22)

Decimal Value

0.954545

Percentage

95.4545%

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Step-by-Step Solution: 2/4 ÷ 11/21

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 11/21 to get 21/11.

2/4 ÷ 11/21 = 2/4 × 21/11

Step 2

Multiply the Numerators and Denominators

Multiply the new numerators (2 × 21 = 42) and denominators (4 × 11 = 44).

2 × 21/4 × 11 = 42/44

Step 3

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 42 and 44, which is 2. Divide both the numerator and denominator by 2.

42 ÷ 2/44 ÷ 2 = 21/22

Step 4

Decimal & Percentage Representation

Dividing the numerator 21 by denominator 22 produces a repeating decimal (approximately 0.954545, or 95.4545%).

21 ÷ 22 = 0.954545 (95.4545%)

Visual Representation

The diagram below illustrates 2/4 divided by 11/21 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`21/22`
Mixed Number Form	`21/22`
Decimal Form	`0.954545`
Percentage	`95.4545%`

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Frequently Asked Questions

What is 2/4 divided by 11/21 as a fraction?

2/4 ÷ 11/21 in simplest fraction form is 21/22.

What is 2/4 divided by 11/21 as a decimal?

2/4 ÷ 11/21 converted to a decimal is 0.954545.

What is 2/4 divided by 11/21 as a percentage?

2/4 ÷ 11/21 expressed as a percentage is 95.4545%.

Does 2/4 divided by 11/21 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.954545...) because the denominator contains prime factors other than 2 and 5.