What is 2/52 divided by 2/21?
2/52 divided by 2/21 equals 21/52 (or 0.403846 in decimal form). Learn the step-by-step solution to divide 2/52 and 2/21 using Least Common Denominator and simplification.
Exact Answer
2/52 ÷ 2/21 = 21/52
Simplified Fraction
21/52
Mixed Number
Proper (21/52)
Decimal Value
0.403846
Percentage
40.3846%
Step-by-Step Solution: 2/52 ÷ 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.
2/52 ÷ 2/21 = 2/52 × 21/2
Step 2
Multiply the Numerators and Denominators
Multiply the new numerators (2 × 21 = 42) and denominators (52 × 2 = 104).
2 × 21/52 × 2 = 42/104
Step 3
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 42 and 104, which is 2. Divide both the numerator and denominator by 2.
42 ÷ 2/104 ÷ 2 = 21/52
Step 4
Decimal & Percentage Representation
Dividing the numerator 21 by denominator 52 produces a repeating decimal (approximately 0.403846, or 40.3846%).
21 ÷ 52 = 0.403846 (40.3846%)
Visual Representation
The diagram below illustrates 2/52 divided by 2/21 visually:
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Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 21/52 |
| Mixed Number Form | 21/52 |
| Decimal Form | 0.403846 |
| Percentage | 40.3846% |
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Frequently Asked Questions
What is 2/52 divided by 2/21 as a fraction?
2/52 ÷ 2/21 in simplest fraction form is 21/52.
What is 2/52 divided by 2/21 as a decimal?
2/52 ÷ 2/21 converted to a decimal is 0.403846.
What is 2/52 divided by 2/21 as a percentage?
2/52 ÷ 2/21 expressed as a percentage is 40.3846%.
Does 2/52 divided by 2/21 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 0.403846...) because the denominator contains prime factors other than 2 and 5.