What is 2/40 divided by 9/21?
2/40 divided by 9/21 equals 7/60 (or 0.116667 in decimal form). Learn the step-by-step solution to divide 2/40 and 9/21 using Least Common Denominator and simplification.
Exact Answer
2/40 ÷ 9/21 = 7/60
Simplified Fraction
7/60
Mixed Number
Proper (7/60)
Decimal Value
0.116667
Percentage
11.6667%
Step-by-Step Solution: 2/40 ÷ 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.
2/40 ÷ 9/21 = 2/40 × 21/9
Step 2
Multiply the Numerators and Denominators
Multiply the new numerators (2 × 21 = 42) and denominators (40 × 9 = 360).
2 × 21/40 × 9 = 42/360
Step 3
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 42 and 360, which is 6. Divide both the numerator and denominator by 6.
42 ÷ 6/360 ÷ 6 = 7/60
Step 4
Decimal & Percentage Representation
Dividing the numerator 7 by denominator 60 produces a repeating decimal (approximately 0.116667, or 11.6667%).
7 ÷ 60 = 0.116667 (11.6667%)
Visual Representation
The diagram below illustrates 2/40 divided by 9/21 visually:
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Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/60 |
| Mixed Number Form | 7/60 |
| Decimal Form | 0.116667 |
| Percentage | 11.6667% |
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Frequently Asked Questions
What is 2/40 divided by 9/21 as a fraction?
2/40 ÷ 9/21 in simplest fraction form is 7/60.
What is 2/40 divided by 9/21 as a decimal?
2/40 ÷ 9/21 converted to a decimal is 0.116667.
What is 2/40 divided by 9/21 as a percentage?
2/40 ÷ 9/21 expressed as a percentage is 11.6667%.
Does 2/40 divided by 9/21 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 0.116667...) because the denominator contains prime factors other than 2 and 5.