What is 1/7 divided by 9/21?
1/7 divided by 9/21 equals 1/3 (or 0.333333 in decimal form). Learn the step-by-step solution to divide 1/7 and 9/21 using Least Common Denominator and simplification.
Exact Answer
1/7 ÷ 9/21 = 1/3
Simplified Fraction
1/3
Mixed Number
Proper (1/3)
Decimal Value
0.333333
Percentage
33.3333%
Step-by-Step Solution: 1/7 ÷ 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.
1/7 ÷ 9/21 = 1/7 × 21/9
Step 2
Multiply the Numerators and Denominators
Multiply the new numerators (1 × 21 = 21) and denominators (7 × 9 = 63).
1 × 21/7 × 9 = 21/63
Step 3
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 21 and 63, which is 21. Divide both the numerator and denominator by 21.
21 ÷ 21/63 ÷ 21 = 1/3
Step 4
Decimal & Percentage Representation
Dividing the numerator 1 by denominator 3 produces a repeating decimal (approximately 0.333333, or 33.3333%).
1 ÷ 3 = 0.333333 (33.3333%)
Visual Representation
The diagram below illustrates 1/7 divided by 9/21 visually:
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Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/3 |
| Mixed Number Form | 1/3 |
| Decimal Form | 0.333333 |
| Percentage | 33.3333% |
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Frequently Asked Questions
What is 1/7 divided by 9/21 as a fraction?
1/7 ÷ 9/21 in simplest fraction form is 1/3.
What is 1/7 divided by 9/21 as a decimal?
1/7 ÷ 9/21 converted to a decimal is 0.333333.
What is 1/7 divided by 9/21 as a percentage?
1/7 ÷ 9/21 expressed as a percentage is 33.3333%.
Does 1/7 divided by 9/21 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 0.333333...) because the denominator contains prime factors other than 2 and 5.