What is 2/13 divided by 4/21?
2/13 divided by 4/21 equals 21/26 (or 0.807692 in decimal form). Learn the step-by-step solution to divide 2/13 and 4/21 using Least Common Denominator and simplification.
Exact Answer
2/13 ÷ 4/21 = 21/26
Simplified Fraction
21/26
Mixed Number
Proper (21/26)
Decimal Value
0.807692
Percentage
80.7692%
Step-by-Step Solution: 2/13 ÷ 4/21
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 4/21 to get 21/4.
2/13 ÷ 4/21 = 2/13 × 21/4
Step 2
Multiply the Numerators and Denominators
Multiply the new numerators (2 × 21 = 42) and denominators (13 × 4 = 52).
2 × 21/13 × 4 = 42/52
Step 3
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 42 and 52, which is 2. Divide both the numerator and denominator by 2.
42 ÷ 2/52 ÷ 2 = 21/26
Step 4
Decimal & Percentage Representation
Dividing the numerator 21 by denominator 26 produces a repeating decimal (approximately 0.807692, or 80.7692%).
21 ÷ 26 = 0.807692 (80.7692%)
Visual Representation
The diagram below illustrates 2/13 divided by 4/21 visually:
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Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 21/26 |
| Mixed Number Form | 21/26 |
| Decimal Form | 0.807692 |
| Percentage | 80.7692% |
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Frequently Asked Questions
What is 2/13 divided by 4/21 as a fraction?
2/13 ÷ 4/21 in simplest fraction form is 21/26.
What is 2/13 divided by 4/21 as a decimal?
2/13 ÷ 4/21 converted to a decimal is 0.807692.
What is 2/13 divided by 4/21 as a percentage?
2/13 ÷ 4/21 expressed as a percentage is 80.7692%.
Does 2/13 divided by 4/21 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 0.807692...) because the denominator contains prime factors other than 2 and 5.