What is 2/17 divided by 4/21?
2/17 divided by 4/21 equals 21/34 (or 0.617647 in decimal form). Learn the step-by-step solution to divide 2/17 and 4/21 using Least Common Denominator and simplification.
Exact Answer
2/17 ÷ 4/21 = 21/34
Simplified Fraction
21/34
Mixed Number
Proper (21/34)
Decimal Value
0.617647
Percentage
61.7647%
Step-by-Step Solution: 2/17 ÷ 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.
2/17 ÷ 4/21 = 2/17 × 21/4
Step 2
Multiply the Numerators and Denominators
Multiply the new numerators (2 × 21 = 42) and denominators (17 × 4 = 68).
2 × 21/17 × 4 = 42/68
Step 3
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 42 and 68, which is 2. Divide both the numerator and denominator by 2.
42 ÷ 2/68 ÷ 2 = 21/34
Step 4
Decimal & Percentage Representation
Dividing the numerator 21 by denominator 34 produces a repeating decimal (approximately 0.617647, or 61.7647%).
21 ÷ 34 = 0.617647 (61.7647%)
Visual Representation
The diagram below illustrates 2/17 divided by 4/21 visually:
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Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 21/34 |
| Mixed Number Form | 21/34 |
| Decimal Form | 0.617647 |
| Percentage | 61.7647% |
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Frequently Asked Questions
What is 2/17 divided by 4/21 as a fraction?
2/17 ÷ 4/21 in simplest fraction form is 21/34.
What is 2/17 divided by 4/21 as a decimal?
2/17 ÷ 4/21 converted to a decimal is 0.617647.
What is 2/17 divided by 4/21 as a percentage?
2/17 ÷ 4/21 expressed as a percentage is 61.7647%.
Does 2/17 divided by 4/21 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 0.617647...) because the denominator contains prime factors other than 2 and 5.