What is 2/7 divided by 7/21?
2/7 divided by 7/21 equals 6/7 (or 0.857143 in decimal form). Learn the step-by-step solution to divide 2/7 and 7/21 using Least Common Denominator and simplification.
Exact Answer
2/7 ÷ 7/21 = 6/7
Simplified Fraction
6/7
Mixed Number
Proper (6/7)
Decimal Value
0.857143
Percentage
85.7143%
Step-by-Step Solution: 2/7 ÷ 7/21
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 7/21 to get 21/7.
2/7 ÷ 7/21 = 2/7 × 21/7
Step 2
Multiply the Numerators and Denominators
Multiply the new numerators (2 × 21 = 42) and denominators (7 × 7 = 49).
2 × 21/7 × 7 = 42/49
Step 3
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 42 and 49, which is 7. Divide both the numerator and denominator by 7.
42 ÷ 7/49 ÷ 7 = 6/7
Step 4
Decimal & Percentage Representation
Dividing the numerator 6 by denominator 7 produces a repeating decimal (approximately 0.857143, or 85.7143%).
6 ÷ 7 = 0.857143 (85.7143%)
Visual Representation
The diagram below illustrates 2/7 divided by 7/21 visually:
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Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 6/7 |
| Mixed Number Form | 6/7 |
| Decimal Form | 0.857143 |
| Percentage | 85.7143% |
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Frequently Asked Questions
What is 2/7 divided by 7/21 as a fraction?
2/7 ÷ 7/21 in simplest fraction form is 6/7.
What is 2/7 divided by 7/21 as a decimal?
2/7 ÷ 7/21 converted to a decimal is 0.857143.
What is 2/7 divided by 7/21 as a percentage?
2/7 ÷ 7/21 expressed as a percentage is 85.7143%.
Does 2/7 divided by 7/21 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 0.857143...) because the denominator contains prime factors other than 2 and 5.