What is 2/7 divided by 9/21?
2/7 divided by 9/21 equals 2/3 (or 0.666667 in decimal form). Learn the step-by-step solution to divide 2/7 and 9/21 using Least Common Denominator and simplification.
Exact Answer
2/7 ÷ 9/21 = 2/3
Simplified Fraction
2/3
Mixed Number
Proper (2/3)
Decimal Value
0.666667
Percentage
66.6667%
Step-by-Step Solution: 2/7 ÷ 9/21
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 9/21 to get 21/9.
2/7 ÷ 9/21 = 2/7 × 21/9
Step 2
Multiply the Numerators and Denominators
Multiply the new numerators (2 × 21 = 42) and denominators (7 × 9 = 63).
2 × 21/7 × 9 = 42/63
Step 3
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 42 and 63, which is 21. Divide both the numerator and denominator by 21.
42 ÷ 21/63 ÷ 21 = 2/3
Step 4
Decimal & Percentage Representation
Dividing the numerator 2 by denominator 3 produces a repeating decimal (approximately 0.666667, or 66.6667%).
2 ÷ 3 = 0.666667 (66.6667%)
Visual Representation
The diagram below illustrates 2/7 divided by 9/21 visually:
÷
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 2/3 |
| Mixed Number Form | 2/3 |
| Decimal Form | 0.666667 |
| Percentage | 66.6667% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 2/7 divided by 9/21 as a fraction?
2/7 ÷ 9/21 in simplest fraction form is 2/3.
What is 2/7 divided by 9/21 as a decimal?
2/7 ÷ 9/21 converted to a decimal is 0.666667.
What is 2/7 divided by 9/21 as a percentage?
2/7 ÷ 9/21 expressed as a percentage is 66.6667%.
Does 2/7 divided by 9/21 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 0.666667...) because the denominator contains prime factors other than 2 and 5.