What is 2/15 divided by 9/21?
2/15 divided by 9/21 equals 14/45 (or 0.311111 in decimal form). Learn the step-by-step solution to divide 2/15 and 9/21 using Least Common Denominator and simplification.
Exact Answer
2/15 ÷ 9/21 = 14/45
Simplified Fraction
14/45
Mixed Number
Proper (14/45)
Decimal Value
0.311111
Percentage
31.1111%
Step-by-Step Solution: 2/15 ÷ 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.
2/15 ÷ 9/21 = 2/15 × 21/9
Step 2
Multiply the Numerators and Denominators
Multiply the new numerators (2 × 21 = 42) and denominators (15 × 9 = 135).
2 × 21/15 × 9 = 42/135
Step 3
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 42 and 135, which is 3. Divide both the numerator and denominator by 3.
42 ÷ 3/135 ÷ 3 = 14/45
Step 4
Decimal & Percentage Representation
Dividing the numerator 14 by denominator 45 produces a repeating decimal (approximately 0.311111, or 31.1111%).
14 ÷ 45 = 0.311111 (31.1111%)
Visual Representation
The diagram below illustrates 2/15 divided by 9/21 visually:
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Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 14/45 |
| Mixed Number Form | 14/45 |
| Decimal Form | 0.311111 |
| Percentage | 31.1111% |
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Frequently Asked Questions
What is 2/15 divided by 9/21 as a fraction?
2/15 ÷ 9/21 in simplest fraction form is 14/45.
What is 2/15 divided by 9/21 as a decimal?
2/15 ÷ 9/21 converted to a decimal is 0.311111.
What is 2/15 divided by 9/21 as a percentage?
2/15 ÷ 9/21 expressed as a percentage is 31.1111%.
Does 2/15 divided by 9/21 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 0.311111...) because the denominator contains prime factors other than 2 and 5.