What is 2/10 divided by 9/21?
2/10 divided by 9/21 equals 7/15 (or 0.466667 in decimal form). Learn the step-by-step solution to divide 2/10 and 9/21 using Least Common Denominator and simplification.
Exact Answer
2/10 ÷ 9/21 = 7/15
Simplified Fraction
7/15
Mixed Number
Proper (7/15)
Decimal Value
0.466667
Percentage
46.6667%
Step-by-Step Solution: 2/10 ÷ 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.
2/10 ÷ 9/21 = 2/10 × 21/9
Step 2
Multiply the Numerators and Denominators
Multiply the new numerators (2 × 21 = 42) and denominators (10 × 9 = 90).
2 × 21/10 × 9 = 42/90
Step 3
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 42 and 90, which is 6. Divide both the numerator and denominator by 6.
42 ÷ 6/90 ÷ 6 = 7/15
Step 4
Decimal & Percentage Representation
Dividing the numerator 7 by denominator 15 produces a repeating decimal (approximately 0.466667, or 46.6667%).
7 ÷ 15 = 0.466667 (46.6667%)
Visual Representation
The diagram below illustrates 2/10 divided by 9/21 visually:
÷
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/15 |
| Mixed Number Form | 7/15 |
| Decimal Form | 0.466667 |
| Percentage | 46.6667% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 2/10 divided by 9/21 as a fraction?
2/10 ÷ 9/21 in simplest fraction form is 7/15.
What is 2/10 divided by 9/21 as a decimal?
2/10 ÷ 9/21 converted to a decimal is 0.466667.
What is 2/10 divided by 9/21 as a percentage?
2/10 ÷ 9/21 expressed as a percentage is 46.6667%.
Does 2/10 divided by 9/21 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 0.466667...) because the denominator contains prime factors other than 2 and 5.