What is 2/25 divided by 2/21?
2/25 divided by 2/21 equals 21/25 (or 0.84 in decimal form). Learn the step-by-step solution to divide 2/25 and 2/21 using Least Common Denominator and simplification.
Exact Answer
2/25 ÷ 2/21 = 21/25
Simplified Fraction
21/25
Mixed Number
Proper (21/25)
Decimal Value
0.84
Percentage
84%
Step-by-Step Solution: 2/25 ÷ 2/21
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 2/21 to get 21/2.
2/25 ÷ 2/21 = 2/25 × 21/2
Step 2
Multiply the Numerators and Denominators
Multiply the new numerators (2 × 21 = 42) and denominators (25 × 2 = 50).
2 × 21/25 × 2 = 42/50
Step 3
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 42 and 50, which is 2. Divide both the numerator and denominator by 2.
42 ÷ 2/50 ÷ 2 = 21/25
Step 4
Decimal & Percentage Representation
Dividing the numerator 21 by denominator 25 yields an exact terminating decimal of 0.84 (or 84%).
21 ÷ 25 = 0.84 (84%)
Visual Representation
The diagram below illustrates 2/25 divided by 2/21 visually:
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Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 21/25 |
| Mixed Number Form | 21/25 |
| Decimal Form | 0.84 |
| Percentage | 84% |
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Frequently Asked Questions
What is 2/25 divided by 2/21 as a fraction?
2/25 ÷ 2/21 in simplest fraction form is 21/25.
What is 2/25 divided by 2/21 as a decimal?
2/25 ÷ 2/21 converted to a decimal is 0.84.
What is 2/25 divided by 2/21 as a percentage?
2/25 ÷ 2/21 expressed as a percentage is 84%.
Does 2/25 divided by 2/21 result in a terminating or repeating decimal?
It results in an exact terminating decimal (0.84) because the denominator in simplest terms contains only prime factors 2 and/or 5.