What is 2/33 divided by 9/21?
2/33 divided by 9/21 equals 14/99 (or 0.141414 in decimal form). Learn the step-by-step solution to divide 2/33 and 9/21 using Least Common Denominator and simplification.
Exact Answer
2/33 ÷ 9/21 = 14/99
Simplified Fraction
14/99
Mixed Number
Proper (14/99)
Decimal Value
0.141414
Percentage
14.1414%
Step-by-Step Solution: 2/33 ÷ 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.
2/33 ÷ 9/21 = 2/33 × 21/9
Step 2
Multiply the Numerators and Denominators
Multiply the new numerators (2 × 21 = 42) and denominators (33 × 9 = 297).
2 × 21/33 × 9 = 42/297
Step 3
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 42 and 297, which is 3. Divide both the numerator and denominator by 3.
42 ÷ 3/297 ÷ 3 = 14/99
Step 4
Decimal & Percentage Representation
Dividing the numerator 14 by denominator 99 produces a repeating decimal (approximately 0.141414, or 14.1414%).
14 ÷ 99 = 0.141414 (14.1414%)
Visual Representation
The diagram below illustrates 2/33 divided by 9/21 visually:
÷
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 14/99 |
| Mixed Number Form | 14/99 |
| Decimal Form | 0.141414 |
| Percentage | 14.1414% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 2/33 divided by 9/21 as a fraction?
2/33 ÷ 9/21 in simplest fraction form is 14/99.
What is 2/33 divided by 9/21 as a decimal?
2/33 ÷ 9/21 converted to a decimal is 0.141414.
What is 2/33 divided by 9/21 as a percentage?
2/33 ÷ 9/21 expressed as a percentage is 14.1414%.
Does 2/33 divided by 9/21 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 0.141414...) because the denominator contains prime factors other than 2 and 5.