What is 1/9 divided by 9/21?
1/9 divided by 9/21 equals 7/27 (or 0.259259 in decimal form). Learn the step-by-step solution to divide 1/9 and 9/21 using Least Common Denominator and simplification.
Exact Answer
1/9 ÷ 9/21 = 7/27
Simplified Fraction
7/27
Mixed Number
Proper (7/27)
Decimal Value
0.259259
Percentage
25.9259%
Step-by-Step Solution: 1/9 ÷ 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.
1/9 ÷ 9/21 = 1/9 × 21/9
Step 2
Multiply the Numerators and Denominators
Multiply the new numerators (1 × 21 = 21) and denominators (9 × 9 = 81).
1 × 21/9 × 9 = 21/81
Step 3
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 21 and 81, which is 3. Divide both the numerator and denominator by 3.
21 ÷ 3/81 ÷ 3 = 7/27
Step 4
Decimal & Percentage Representation
Dividing the numerator 7 by denominator 27 produces a repeating decimal (approximately 0.259259, or 25.9259%).
7 ÷ 27 = 0.259259 (25.9259%)
Visual Representation
The diagram below illustrates 1/9 divided by 9/21 visually:
÷
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/27 |
| Mixed Number Form | 7/27 |
| Decimal Form | 0.259259 |
| Percentage | 25.9259% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 1/9 divided by 9/21 as a fraction?
1/9 ÷ 9/21 in simplest fraction form is 7/27.
What is 1/9 divided by 9/21 as a decimal?
1/9 ÷ 9/21 converted to a decimal is 0.259259.
What is 1/9 divided by 9/21 as a percentage?
1/9 ÷ 9/21 expressed as a percentage is 25.9259%.
Does 1/9 divided by 9/21 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 0.259259...) because the denominator contains prime factors other than 2 and 5.